
AMS Sectional Meeting Full Program
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1999 Fall Eastern Sectional Meeting
Providence, RI, October 23, 1999
Meeting #947
Associate secretaries: Lesley M Sibner, AMS lsibner@duke.poly.edu
Saturday October 2, 1999

Saturday October 2, 1999, 7:30 a.m.4:00 p.m.
Meetings Registration
Lounge, Slavin Center

Saturday October 2, 1999, 7:30 a.m.4:00 p.m.
Exhibit and Book Sale
Lounge, Slavin Center

Saturday October 2, 1999, 8:00 a.m.10:55 a.m.
Special Session on Operator KTheory and its Applications to Geometry and Topology
Room 301, Harkins Hall Organizers: Guoliang Yu, University of Colorado, Boulder gyu@euclid.Colorado.EDU
Carla E. Farsi, University of Colorado, Boulder farsi@euclid.colorado.edu
Jeffrey S. Fox, University of Colorado, Boulder jfox@euclid.colorado.edu

8:00 a.m.
Completely Bounded Growth and Exactness of Discrete Groups.
Erik Guentner*, IUPUI
Jerome Kaminker, IUPUI
(94746147)

8:45 a.m.
On invariants of Hirzebruch, AtiyahPatodiSinger, and CheegerGromov.
Stanley S Chang*, Rice University
Shmuel A Weinberger, University of Chicago
(94719127)

9:30 a.m.
Cyclic cohomology of Hopf algebras and secondary characteristic classes.
Alexander Gorokhovsky*, Ohio State University
(94758118)

10:15 a.m.
Selfadjoint perturbed Dirac operators.
Jeffrey Fox, University of Colorado
Peter Haskell*, Virginia Tech
(94758101)

Saturday October 2, 1999, 8:00 a.m.10:50 a.m.
Special Session on Difference Equations and Applications
Room 108, Albertus Magnus Hall Organizers: Gerasimos Ladas, University of Rhode Island gladas@math.uri.edu
Jeffrey T. Hoag, Providence College jhoag@providence.edu

8:00 a.m.
On the Global Behavior of Solutions of a Biological Model.
E. A. Grove, University of Rhode Island
G. Ladas, University of Rhode Island
N. R. Prokup*, University of Rhode Island
R. Levins, Harvard School of Public Health
(9473940)

8:30 a.m.
The Preimage Set and Transient Behavior of Delay Difference Equations, with Application to Ecology and Epidemiology .
Richard Levins*, Harvard School of Public Health
(9473938)

9:00 a.m.
Asymptotically Autonomous Difference Equations.
Diana M Thomas*, New Jersey City Unversity
(9473726)

9:30 a.m.
Applications of coupled logistic maps.
Harold M Hastings*, Hofstra University
Flavio H Fenton, Hofstra University
Gregory C Levine, Hofstra University
(9473724)

10:00 a.m.
On the Difference Equation x[n+1]=max{1/x[n], A[n]/x[n1]} with a period 3 parameter.
Edward A Grove, University of R.I.
Candace M Kent, Virg. Common. Univ.
Gerasimos Ladas, University of R.I.
Michael A Radin*, University of R.I.
(9473934)

10:30 a.m.
Existence and Global Behavior of a Rational System.
Edward A Grove, University of Rhode Island
Gerasimos Ladas, University of Rhode Island
Lynn C McGrath, University of Rhode Island
Christopher T Teixeira*, University of Rhode Island
(9473933)

Saturday October 2, 1999, 8:30 a.m.10:50 a.m.
Special Session on Algebraic and Geometric Combinatorics
Room 317, Harkins Hall Organizers: Vesselin N. Gasharov, Cornell University vesko@math.cornell.edu
Ira M. Gessel, Brandeis University gessel@math.brandeis.edu

8:30 a.m.
On the Varchenko bilinear form associated to a hyperplane arrangement.
Benjamin S Joseph*, MIT
(94705165)

9:00 a.m.
KazhdanLusztig and $R$polynomials, Young's lattice, and Catalan partitions.
Francesco Brenti*, Universita' di Roma "Tor Vergata"
(9470588)

9:30 a.m.
Compressed polytopes.
Takayuki Hibi*, Osaka University
(9475287)

10:00 a.m.
Generalized riffle shuffles and quasisymmetric functions.
Richard P. Stanley*, M.I.T.
(9470547)

10:30 a.m.
The coset poset and the probabilistic zeta function of a finite group.
Kenneth S. Brown*, Cornell University
(9472065)

Saturday October 2, 1999, 8:30 a.m.10:50 a.m.
Special Session on Number Theory
Room III, Moore Hall Organizers: Michael I. Rosen, Brown University mrosen@math.brown.edu
Siman Wong, Brown University siman@math.brown.edu

8:30 a.m.
Galois prop groups unramified at p; explicit computations.
Nigel Boston*, University of Illinois at UrbanaChampaign
(9471171)

9:00 a.m.
Universal deformation rings and cyclic blocks.
Ted C Chinburg*, Univ. of Pennyslvania
Frauke M Bleher, Southern Illinois University
(9471161)

9:30 a.m.
The number of rational points on genus 3 curves over finite fields.
Kristin E Lauter*, Microsoft Research
(9471195)

10:00 a.m.
How to align BrumerStark elements into a Hecke character (preliminary report).
David R Hayes*, University of Massachusetts at Amherst
(9471185)

10:30 a.m.
padic Gamma functions and prop Groups.
Keith Conrad*, Ohio State University
(94711125)

Saturday October 2, 1999, 9:00 a.m.10:50 a.m.
Special Session on Representation Theory of Reductive Groups
Room 327, Harkins Hall Organizers: Dan M. Barbasch, Cornell University barbasch@math.cornell.edu
Birgit Speh, Cornell University speh@math.cornell.edu

9:00 a.m.
Functions on Nilpotent Orbit Covers.
Eric N Sommers*, Harvard University
(9472283)

9:30 a.m.
Invariant distributions supported by topologically nilpotent elements.
Clifton Cunningham*, University of Massachusetts at Amherst
(94722116)

10:00 a.m.
Star product quantization of nilpotent orbits.
Ranee K Brylinski*, Penn State University
(94781128)

10:30 a.m.
Component Groups of Centralizers of Nilpotents in Complex Symmetric Space.
Donald R King*, Northeastern University
Alfred G Noel, University of Massachusetts, Boston
(94720109)

Saturday October 2, 1999, 9:00 a.m.10:50 a.m.
Special Session on Geometry and Representation Theory of Algebraic Groups
Room 328, Harkins Hall Organizers: James E. Humphreys, University of Massachusetts jeh@math.umass.edu
Ivan Mirkovic, University of Massachusetts mirkovic@math.umass.edu

9:00 a.m.
Traces of intertwiners for quantum groups and difference equations.
Pavel I Etingof*, MIT
Alexander N Varchenko, UNC at Chapel Hill
(94717100)

9:30 a.m.
Integral properties of the modular functor.
Alexander Jr. Kirillov*, SUNY Stony Brook
(94714153)

10:00 a.m.
Algebraic Construction of the Uhlenbeck Space.
Vladimir Baranovsky*, University of Chicago
(94714136)

10:30 a.m.
Verma modules for $\hat{gl_n}$ and Hall algebras.
Alexander G Kuznetsov*, Independent Moscow University
(94722151)

Saturday October 2, 1999, 9:00 a.m.10:50 a.m.
Special Session on The History of Mathematics
Room I, Moore Hall Organizers: Daniel Otero, Xavier University otero@xavier.xu.edu
C. Edward Sandifer, Western Connecticut State University sandifer@wcsub.ctstateu.edu

9:00 a.m.
The Tenure of Charles Loewner at the University of Louisville: 19391944 .
Richard M Davitt*, University of Louisville
(9479830)

9:40 a.m.
The Indirect Influence of Andre Weil on Computational Electromagnetics.
P Robert Kotiuga*, Boston University
(94778142)

10:20 a.m.
Euler's "Example of the Use of Observation in Pure Mathematics".
Edward Sandifer*, Western Connecticut State University
(94701107)

Saturday October 2, 1999, 9:00 a.m.10:50 a.m.
Special Session on Algebraic Dynamics
Room 109, Albertus Magnus Hall Organizers: Jonathan Lubin, Brown University lubinj@math.brown.edu
Joseph H. Silverman, Brown University jhs@abel.math.brown.edu

9:00 a.m.
Rapidity of approach to the identity of the $p$power iterates of an automorphism of a field $k[[t]]$ of characteristic $p$.
Jonathan Lubin*, Brown University
(9471123)

9:30 a.m.
Fatou components in nonarchimedean dynamics.
Robert L Benedetto*, University of Rochester
(9473751)

10:00 a.m.
Local and Global Polynomial Dynamics.
Susan Goldstine*, McMaster University
(9471168)

10:30 a.m.
On Preperiodic Points of Morphisms over Number Fields and Function Fields.
Gregory S Call*, Amherst College
(9471169)

Saturday October 2, 1999, 9:00 a.m.10:50 a.m.
Special Session on Geometric Properties of Nonlinear Elliptic PDEs
Room 135, Albertus Magnus Hall Organizers: Henri Berestycki, Universit\'e Pierre et Marie Curie (Paris VI)
Yanyan Li, Rutgers University yyli@math.rutgers.edu

9:00 a.m.
Entire solutions of semilinear elliptic equations in $\mathbb{R}^3$ and a conjecture of De Giorgi.
Luigi Ambrosio, Scuola Normale Superiore di Pisa
Xavier Cabr\'e*, Universitat Politecnica de Catalunya
(9473541)

9:30 a.m.
The Averaged Equation for a Dispersion Managed Optical Fiber and its Ground State.
Christopher K Jones*, Brown University
Vadim Zharnitsky, Brown University
(94735161)

10:00 a.m.
Longwave unstable thin film equations  the linear and nonlinear stability of steady states .
Richard S Laugesen, University of Illinois at UrbanaChampaign
Mary C Pugh*, University of Pennsylvania
(9473535)

10:30 a.m.
Inverse Boundary Value Problems for Quasilinear Elliptic Equations.
Ziqi Sun*, Wichita State University
(94735141)

Saturday October 2, 1999, 9:15 a.m.10:40 a.m.
Session for Contributed Papers
Room 305, Harkins Hall

9:15 a.m.
Differential Inequalities and Local Valency.
Ram M Goel*, Punjabi University,Patiala(India
(9473094)

9:30 a.m.
Continuation Method for $\alpha$sublinear Mappings.
YongZhuo Chen*, University of Pittsburgh at Bradford
(94747132)

10:00 a.m.
A closer look at the lower bound of the Van der Waerden numbers.
Erin M Boyer*, Bard College
Anitashree Balaji, Wellesley College
Tze Yi Chan, Trinity College
Tricia Frantti, Chassell High School
Anant P Godbole, MIchigan Technological University
(94760158)

10:15 a.m.
Treshold Functions for Random Sidon Sequences.
Lukasz Fidkowski*, Harvard University
Anant Godbole, Michigan Technological University
Fumei Lam, Berkeley
Donald Ying, Stanford
(94760159)

10:30 a.m.
Shift Filters for Bayesian Categories and the Fulda /COMMON/ Gap.
Barbara P. Landry*, University of Santa Cruz
(9476011)

Saturday October 2, 1999, 11:00 a.m.11:50 a.m.
Invited Address
The maximum principle and qualitative properties of solutions to nonlinear partial differential equations.
'64 Hall, Slavin Center
Henri Berestycki*, Universit\'e Pierre et Marie Curie (Paris VI)

Saturday October 2, 1999, 1:30 p.m.2:20 p.m.
Invited Address
What is the right mathematical/statistical model for natural images?
'64 Hall, Slavin Center
David Mumford*, Brown University

Saturday October 2, 1999, 2:30 p.m.6:20 p.m.
Special Session on Algebraic and Geometric Combinatorics
Room 317, Harkins Hall Organizers: Vesselin N. Gasharov, Cornell University vesko@math.cornell.edu
Ira M. Gessel, Brandeis University gessel@math.brandeis.edu

2:30 p.m.
Minuscule elements of Weyl groups.
John R Stembridge*, University of Michigan
(9470590)

3:00 p.m.
Dumont's statistic on words.
Mark A. Skandera*, MIT
(9470581)

3:30 p.m.
Spaces of trees.
Louis J Billera, Cornell University
Susan Holmes, Stanford University
Karen Vogtmann*, Cornell University
(9470598)

4:00 p.m.
Unimodality and Association Schemes.
John S Caughman, IV, Michigan State University
Bruce E Sagan*, Michigan State University
(9470562)

4:30 p.m.
A new interpretation for the Tutte polynomial.
Victor S. Reiner*, Univ. of Minnesota
(9470506)

5:00 p.m.
A new combinatorial invariant for geometric lattices.
H/'el\`ene Barcelo*, Arizona Sate University
Reinhard Laubenbacher, New Mexico State University
(9470584)

5:30 p.m.
Triangulations and Ehrhart Polynomials of Polytopes Associated with Root Systems.
Wungkum Fong*, Massachusetts Institute of Technology
(9470586)

6:00 p.m.
Iterated Homology and Decompositions of Simplicial Complexes.
Art Duval*, University of Texas at El Paso
Ping Zhang, Western Michigan University
(94705129)

Saturday October 2, 1999, 2:30 p.m.5:20 p.m.
Special Session on Representation Theory of Reductive Groups
Room 327, Harkins Hall Organizers: Dan M. Barbasch, Cornell University barbasch@math.cornell.edu
Birgit Speh, Cornell University speh@math.cornell.edu

2:30 p.m.
Germs of characters.
Fiona Murnaghan*, University of Toronto
(9472276)

3:00 p.m.
Hecke algebras and parabolic induction.
AnneMarie Aubert, Ecole Normale Superieure
Philip K Kutzko, University of Iowa
Lawrence E Morris*, Clark University
(94722148)

3:30 p.m.
Rational Quadratic Divisors and Automorphic Forms.
Jens P Funke*, Indiana University
(9471156)

4:00 p.m.
Twisted Torsion on Compact Hyperbolic Spaces.
Maria G Fung*, Cornell University
(94722122)

4:30 p.m.
Cohomological meaning of $G/\Gamma$multiplicities of certain unitary representations.
Floyd L. Williams*, University of Massachusetts
(9472299)

5:00 p.m.
Discussion.

Saturday October 2, 1999, 2:30 p.m.4:50 p.m.
Special Session on Geometry and Representation Theory of Algebraic Groups
Room 328, Harkins Hall Organizers: James E. Humphreys, University of Massachusetts jeh@math.umass.edu
Ivan Mirkovic, University of Massachusetts mirkovic@math.umass.edu

2:30 p.m.
Geometry and unrestricted representations.
Dmitriy Rumynin*, University of Warwick
(9471746)

3:00 p.m.
Structure of some Springer fibers of $\mathfrak{gl}_n(\mathbb{C})$ and relations to KazhdanLusztig theory.
Francis Y. Fung*, Odyssey Research Associates
(94714121)

3:30 p.m.
Cohomology of tilting modules and equivariant Ktheory of the nilpotent cone.
Viktor Ostrik*, Independent Moscow University
(9471754)

4:00 p.m.
Affine Springer Fibers and Cartans of Loop Groups.
David D BenZvi*, University of Chicago
(94714113)

4:30 p.m.
Character sheaves on Drinfeld's spaces.
Dennis Gaitsgory*, Harvard University
(94714133)

Saturday October 2, 1999, 2:30 p.m.5:20 p.m.
Special Session on Difference Equations and Applications
Room 108, Albertus Magnus Hall Organizers: Gerasimos Ladas, University of Rhode Island gladas@math.uri.edu
Jeffrey T. Hoag, Providence College jhoag@providence.edu

2:30 p.m.
Multiple Solutions for $2m$th Order SturmLiouville Boundary Value Problems on a Measure Chain.
Johnny Henderson*, Auburn University
(9473918)

3:00 p.m.
On The Difference Equation $x(n+1)=(max{x(n),A{n}})/x(n)^2x(n1)$.
Soudabeh Valicenti*, University of Rhode Island
Gerry Ladas, University of Rhode Island
Kim Cunningham, University of Rhode Island
Jeffery Feuer, Merrimack College
(9473925)

3:30 p.m.
Eventually periodic solutions of x[n+1]=max{A[n]/x[n],1/x[n1]}.
William J. Briden, Univ. of R. I.
Edward A. Grove, Univ. of R. I.
Gerry Ladas, Univ. of R. I.
Candace M. Kent*, Virginia Commonwealth Univ.
(9479931)

4:00 p.m.
Discussion.

4:30 p.m.
Applications concerning a Riccati equation for a differential equation on a measure chain.
Allan C. Peterson*, University of NebraskaLincoln
Lynn H. Erbe, University of NebraskaLincoln
(9473920)

5:00 p.m.
On the discretization of a delay differential equation.
Kenneth L Cooke, Pomona College
Anatoli F Ivanov*, Pennsylvania State University
(9473916)

Saturday October 2, 1999, 2:30 p.m.5:45 p.m.
Special Session on Mathematical and Statistical Aspects of Vision
'64 Hall, Slavin Center Organizers: David Mumford, Brown University david_mumford@brown.edu
Donald E. McClure, Brown University dem@brownvm.brown.edu
Stuart A. Geman, Brown University geman@brownvm.brown.edu

2:30 p.m.
How Does the Brain See?
Stephen Grossberg*, Boston University
(94792104)

3:45 p.m.
A Compositional Approach to Natural and Artificial Vision.
Elie Bienenstock*, Brown University
(94792168)

5:00 p.m.
Learning and Representations in Brains and Machines.
Tomaso A Poggio*, M.I.T.
(94792106)

Saturday October 2, 1999, 2:30 p.m.4:50 p.m.
Special Session on Geometric Properties of Nonlinear Elliptic PDEs
Room 135, Albertus Magnus Hall Organizers: Henri Berestycki, Universit\'e Pierre et Marie Curie (Paris VI)
Yanyan Li, Rutgers University yyli@math.rutgers.edu

2:30 p.m.
Harnack estimates and symmetry for elliptic systems.
Jerome B. Busca*, Universit\'e de Tours
(9473578)

3:00 p.m.
Gradient estimates for laminar elliptic systems.
YanYan Li*, Rutgers University
Louis Nirenberg, Courant Institute
(9473592)

3:30 p.m.
On the interaction of selfsimilar multibranched vortex sheets of the 2D Euler equations.
ZhengChao Han*, RutgersNew Brunswick
(94776160)

4:00 p.m.
Traveling fronts and solutions global in time of a semilinear parabolic equation.
Francois Hamel*, University Paris VI
(9473539)

4:30 p.m.
A nonlinear elliptic boundary value problem related to corrosion modeling.
Michael S Vogelius*, Rutgers University, New Brunswick
(94735169)

Saturday October 2, 1999, 2:40 p.m.5:00 p.m.
Special Session on Operator KTheory and its Applications to Geometry and Topology
Room 301, Harkins Hall Organizers: Guoliang Yu, University of Colorado, Boulder gyu@euclid.Colorado.EDU
Carla E. Farsi, University of Colorado, Boulder farsi@euclid.colorado.edu
Jeffrey S. Fox, University of Colorado, Boulder jfox@euclid.colorado.edu

2:40 p.m.
Some remarks on the BaumConnes conjecture.
Gennadi Kasparov*, University of Marseille at Luminy
(9471945)

3:30 p.m.
An index theorem for families of elliptic operators invariant with respect to a bundle of Lie groups.
Victor Nistor*, Penn State
(9474793)

4:20 p.m.
A Topological Index for Proper Actions.
Jody Trout*, Dartmouth College
(94719150)

Saturday October 2, 1999, 2:40 p.m.5:50 p.m.
Special Session on The History of Mathematics
Room I, Moore Hall Organizers: Daniel Otero, Xavier University otero@xavier.xu.edu
C. Edward Sandifer, Western Connecticut State University sandifer@wcsub.ctstateu.edu

2:40 p.m.
Into the Woods  Norbert Wiener in Maine.
Eisso J Atzema*, University of Maine
(94701135)

3:20 p.m.
The Remarkable History of Logarithms.
Robert G Stein*, California State U, San Bernardino
(94701143)

4:00 p.m.
Digo Que el Numero Sea una CosaSeeking the Earliest Printed Math Books in the New World.
Bruce S Burdick*, Roger Williams University
(94701162)

4:40 p.m.
Early Textbooks at West Point.
V. Frederick Rickey*, United States Military Academy
(94701139)

5:20 p.m.
Henry Briggs' Arithmetica Logarithmica: the introduction of common logarithms.
Daniel E Otero*, Xavier University
(94701108)

Saturday October 2, 1999, 2:40 p.m.5:00 p.m.
Special Session on Algebraic Dynamics
Room 109, Albertus Magnus Hall Organizers: Jonathan Lubin, Brown University lubinj@math.brown.edu
Joseph H. Silverman, Brown University jhs@abel.math.brown.edu

2:40 p.m.
Roundoff errors and $p$adic numbers.
Franco Vivaldi*, Queen Mary and Wesfield College, University of London
Diana Bosio, Queen Mary and Wesfield College, University of London
(9473750)

3:10 p.m.
Discussion.

3:40 p.m.
Some Open Problems in the Algebraic Theory of Dynamical Systems.
Patrick Morton*, Wellesley College
(9471257)

4:10 p.m.
Fractals in Number Theory.
Arthur Baragar*, UNLV
(9470674)

4:40 p.m.
Polynomial Chains and Stable Power Series.
Karl F Zimmermann*, Union College
(9471259)

Saturday October 2, 1999, 2:40 p.m.6:30 p.m.
Special Session on Number Theory
Room III, Moore Hall Organizers: Michael I. Rosen, Brown University mrosen@math.brown.edu
Siman Wong, Brown University siman@math.brown.edu

2:40 p.m.
Are maximal Stirling numbers unique?
E. R. Canfield, University of Georgia
Carl Pomerance*, Bell Labs
(9471129)

3:10 p.m.
Sums of values of a rational function.
Bjorn Poonen*, University of California, Berkeley
(9471144)

3:40 p.m.
Diophantine approximation exponents in finite characteristic.
Dinesh S Thakur*, University of Arizona
(9471166)

4:10 p.m.
Rank of $E(K)$ for cyclic cubic extensions.
Hershy H Kisilevsky*, Concordia University
Masato Kuwata, University of Caen
Jack Fearnley, Concordia University
(9471180)

4:40 p.m.
Uniform Bounds for Integral Points on Elliptic Curves.
Lisa A Fastenberg*, Yeshiva University
(9471173)

5:10 p.m.
Geometry of Fermat adeles.
Alexandru Buium*, University of New Mexico
(9471117)

5:40 p.m.
Gamma Values and Linear Independence in Characteristic $p$.
Dale Brownawell, The Pennsylvania State University
Matthew A Papanikolas*, The Pennsylvania State University
(9471172)
Sunday October 3, 1999

Sunday October 3, 1999, 8:00 a.m.12:00 p.m.
Meeting Registration
Lounge, Slavin Center

Sunday October 3, 1999, 8:00 a.m.10:55 a.m.
Special Session on Operator KTheory and its Applications to Geometry and Topology
Room 301, Harkins Hall Organizers: Guoliang Yu, University of Colorado, Boulder gyu@euclid.Colorado.EDU
Carla E. Farsi, University of Colorado, Boulder farsi@euclid.colorado.edu
Jeffrey S. Fox, University of Colorado, Boulder jfox@euclid.colorado.edu

8:00 a.m.
Signatures and covering spaces.
Wolfgang L\"uck, Univ M\'unster
Thomas Schick*, Penn State University and Uni Münster
(9475513)

8:45 a.m.
Volume Growth and Positive Scalar Curvature.
Guihua Gong*, Univ. of Puerto Rico, Rio Piedras
Guoliang Yu, Uinversity of Colorado, Boulder
(9471963)

9:30 a.m.
Monicity of the BaumConnes map.
Gunnar Carlsson, Stanford university
Erik K Pedersen*, Bingham University
John Roe, Penn State
(94719112)

10:15 a.m.
Connes' Index Theorem for Groupoids.
Jerome Kaminker*, IUPUI, Indianapolis, IN
(94719166)

Sunday October 3, 1999, 8:00 a.m.10:20 a.m.
Special Session on Difference Equations and Applications
Room 108, Albertus Magnus Hall Organizers: Gerasimos Ladas, University of Rhode Island gladas@math.uri.edu
Jeffrey T. Hoag, Providence College jhoag@providence.edu

8:00 a.m.
On the Recursive Sequence x(n+1) = (a + b x(n1))/(c + x(n)) .
Carol H Gibbons*, University of Rhode Island
M R Kulenovic, University of Rhode Island
Gerry Ladas, University of Rhode Island
(9473912)

8:30 a.m.
On the System of Difference Equations x(n+1)=x(n)/(a+y(n)), y(n+1)=y(n)/(b+x(n)).
Dean Clark, University of Rhode Island
M.R. S. Kulenovic*, University of Rhode Island
(9473932)

9:00 a.m.
The Brjuno Brush.
Eileen F Lee*, Trinity College
(9473727)

10:00 a.m.
On a Rational Recursive Sequence with Even Delays.
Hamdi ElMitwalli*, University of Rhode Island
Edward A Grove, University of Rhode Island
Gerasimos Ladas, University of Rhode Island
(9473952)

Sunday October 3, 1999, 8:00 a.m.12:00 p.m.
Exhibit and Book Sale
Lounge, Slavin Center

Sunday October 3, 1999, 8:30 a.m.10:50 a.m.
Special Session on Algebraic and Geometric Combinatorics
Room 317, Harkins Hall Organizers: Vesselin N. Gasharov, Cornell University vesko@math.cornell.edu
Ira M. Gessel, Brandeis University gessel@math.brandeis.edu

8:00 a.m.
The Frobenius Coin Exchange Problem and rational polytopes.
Matthias Beck, Temple University
Ricardo Diaz, University of Northern Colorado
Sinai Robins*, Temple University
(94705163)

8:30 a.m.
Lexicographic Shellability for Balanced Boolean Cell Complexes.
Patricia L Hersh*, University of Washington
(9470591)

9:00 a.m.
Discrete Morse Complexes.
Manoj Chari, Louisiana State University/TUBerlin
Michael Joswig, TUBerlin
Volkmar Welker*, Universitaet Marburg
(94705120)

9:30 a.m.
Enumerative invariants of convex polytopes.
Louis J Billera*, Cornell University
Catherine Stenson, Cornell University
(94752140)

10:00 a.m.
Signbalanced posets and spinbalanced domino tableaux.
Dennis E White*, University of Minnesota
(9470575)

10:30 a.m.
Generalized LittlewoodRichardson coefficients, canonical bases and totally positive varieties.
Arkady Berenstein, Cornell University
Andrei Zelevinsky*, Northeastern University
(9471497)

Sunday October 3, 1999, 8:30 a.m.10:50 a.m.
Special Session on Representation Theory of Reductive Groups
Room 327, Harkins Hall Organizers: Dan M. Barbasch, Cornell University barbasch@math.cornell.edu
Birgit Speh, Cornell University speh@math.cornell.edu

8:30 a.m.
Cohomological induction and harmonic algebra.
Gregg J. Zuckerman*, Yale University
(94717134)

9:00 a.m.
Primitive ideals and the theta correspondence.
Peter E Trapa*, Institute for Advanced Study
(9472237)

9:30 a.m.
Orthogonality relations and invariant sesquilinear forms.
Robert W Donley, Jr.*, Oklahoma State University, Stillwater
(9472222)

10:00 a.m.
Discussion.

10:30 a.m.
Deformation quantization and invariant distributions.
Martin Andler, Universite de Versailles a SanQuentin
Alexander Dvorsky, Rutgers University
Siddhartha Sahi*, Rutgers University
(94722103)

Sunday October 3, 1999, 9:00 a.m.10:50 a.m.
Special Session on Geometry and Representation Theory of Algebraic Groups
Room 328, Harkins Hall Organizers: James E. Humphreys, University of Massachusetts jeh@math.umass.edu
Ivan Mirkovic, University of Massachusetts mirkovic@math.umass.edu

9:00 a.m.
Conjugacy classes in parabolic subgroups of general linear groups.
Scott H Murray*, University of Chicago
(9472060)

9:30 a.m.
Certain "abstract" homomorphisms of Chevalley groups.
Lucy Lifschitz*, University of Virginia
Andrei S Rapinchuk, University of Virginia
(94720115)

10:00 a.m.
A homological interpretation of Jantzen's sum formula.
Upendra B Kulkarni*, University of Massachusetts, Amherst
(94720145)

10:30 a.m.
Some new applications of endomorphism algebras to representation theory.
Brian Parshall*, University of Virginia
(94720149)

Sunday October 3, 1999, 9:00 a.m.10:50 a.m.
Special Session on The History of Mathematics
Room I, Moore Hall Organizers: Daniel Otero, Xavier University otero@xavier.xu.edu
C. Edward Sandifer, Western Connecticut State University sandifer@wcsub.ctstateu.edu

9:00 a.m.
A Definition of the Natural Logarithm.
Linda Marie Saliga*, The University of Akron
(94701126)

9:40 a.m.
Elegant Fractions in Indian Astronomy.
Kim Plofker*, Brown University
(94701114)

10:20 a.m.
Nyctaginaceous Mathematics.
James J Tattersall*, Providence College
(94701130)

Sunday October 3, 1999, 9:00 a.m.10:50 a.m.
Special Session on Algebraic Dynamics
Room 109, Albertus Magnus Hall Organizers: Jonathan Lubin, Brown University lubinj@math.brown.edu
Joseph H. Silverman, Brown University jhs@abel.math.brown.edu

9:00 a.m.
The Lap Counting Function and Zeta Function of the Tent Map.
Leopold Flatto, Bell Laboratories
Jeffrey C Lagarias*, AT&T Labs
(9475855)

9:30 a.m.
Torsion of abelian varieties and the MortonSilverman conjecture.
Bjorn Poonen*, University of California, Berkeley
(9471143)

10:00 a.m.
Dynamical Systems and Elliptic Curves.
Graham R Everest*, University of East Anglia
(9471121)

10:30 a.m.
A Bound for Torsion Points on Everywhere Good Reduction Elliptic Curves.
Joseph H. Silverman*, Brown University
Marc Hindry, Universit\'e Denis Diderot Paris 7
(9471128)

Sunday October 3, 1999, 9:30 a.m.10:50 a.m.
Special Session on Geometric Properties of Nonlinear Elliptic PDEs
Room 135, Albertus Magnus Hall Organizers: Henri Berestycki, Universit\'e Pierre et Marie Curie (Paris VI)
Yanyan Li, Rutgers University yyli@math.rutgers.edu

9:30 a.m.
Nonexistence results for nonlinear equations in unbounded domains.
Isabeau Birindelli*, Dipartimento di Matematica, Universita' di Roma "La Sapienza"
(94735123)

10:00 a.m.
Some geometric problems related to PDE's.
Pablo Padilla*, IIMAS, UNAM
(94735144)

10:30 a.m.
Multipeak solutions for a nonlinear Neumann problem.
Changfeng Gui*, University of Connecticut and University of British Columbia
(9473553)

Sunday October 3, 1999, 11:00 a.m.11:50 a.m.
Invited Address
Unipotent Representations and Unitarity.
'64 Hall, Slavin Center
Dan M Barbasch*, Cornell University
(94722117)

Sunday October 3, 1999, 1:30 p.m.2:20 p.m.
Invited Address
The Novikov conjecture and geometry of groups.
'64 Hall, Slavin Center
Guoliang Yu*, University of Colorado, Boulder
(9471964)

Sunday October 3, 1999, 2:30 p.m.3:50 p.m.
Special Session on Representation Theory of Reductive Groups
Room 327, Harkins Hall Organizers: Dan M. Barbasch, Cornell University barbasch@math.cornell.edu
Birgit Speh, Cornell University speh@math.cornell.edu

2:30 p.m.
Representation theoretic structures encoded in the loop Grassmannian.
Ivan Mirkovi\'c*, University of Massachusetts at Amherst
(94722157)

3:00 p.m.
Intertwining operators and Weyl group representations.
David A Vogan*, MIT
(9472258)

3:30 p.m.
Nonvanishing Theorems for Theta Correspondence.
Hongyu L He*, Georgia State Univ.
(9472296)

Sunday October 3, 1999, 2:30 p.m.4:50 p.m.
Special Session on Geometry and Representation Theory of Algebraic Groups
Room 328, Harkins Hall Organizers: James E. Humphreys, University of Massachusetts jeh@math.umass.edu
Ivan Mirkovic, University of Massachusetts mirkovic@math.umass.edu

2:30 p.m.
Polar varieties in classical Lie algebras.
Mikhail Grinberg*, MIT
(9472248)

3:00 p.m.
Principal nilpotent pairs in a semisimple Lie algebra.
Victor Ginzburg*, University of Chicago
(94717110)

3:30 p.m.
Generalized character sums associated to regular prehomogeneous vector spaces over finite fields.
David Kazhdan, Harvard University
Alexander Polishchuk*, Boston University
(94714105)

4:00 p.m.
Normalized intertwining operators and crystals.
Alexander Braverman*, Massachusetts Institute of Techonology
(94722155)

4:30 p.m.
Discussion.

Sunday October 3, 1999, 2:30 p.m.4:20 p.m.
Special Session on Geometric Properties of Nonlinear Elliptic PDEs
Room 135, Albertus Magnus Hall Organizers: Henri Berestycki, Universit\'e Pierre et Marie Curie (Paris VI)
Yanyan Li, Rutgers University yyli@math.rutgers.edu

2:30 p.m.
On a three dimensional singularly perturbed Neumann problem.
Meijun Zhu*, The University of Oklahoma
Nassif Ghoussoub, University of British Columbia
Changfeng Gui, University of British Columbia
(9473589)

3:00 p.m.
Symmetry For Exterior Elliptic Problems and Two Conjectures In Potential Theory.
Boyan Sirakov*, Universit\'e Paris VI
(9473577)

3:30 p.m.
Nonexistence results for semilinear cooperative elliptic systems via moving spheres.
Wolfgang Reichel, Universitat Basel, Switzerland
Henghui Zou*, University of Alabama at Birmingham
(9473542)

4:00 p.m.
Traveling two and three dimensional water waves.
Walter Craig*, Brown University
(94735170)

Sunday October 3, 1999, 2:40 p.m.5:00 p.m.
Special Session on Operator KTheory and its Applications to Geometry and Topology
Room 301, Harkins Hall Organizers: Guoliang Yu, University of Colorado, Boulder gyu@euclid.Colorado.EDU
Carla E. Farsi, University of Colorado, Boulder farsi@euclid.colorado.edu
Jeffrey S. Fox, University of Colorado, Boulder jfox@euclid.colorado.edu

2:40 p.m.
Generalized amenability and embeddings into Hilbert space.
Alexander N Dranishnikov*, Pennsylvania State University
(9472079)

3:30 p.m.
Noncommutative geometry and the representation theory of padic groups.
Paul Baum*, Penn State University
(94719102)

4:20 p.m.
Proper Actions, Bivariant Chern Characters and the Index Theorem.
Ronghui Ji*, IUPUI
(94758167)

Sunday October 3, 1999, 2:40 p.m.4:30 p.m.
Special Session on The History of Mathematics
Room I, Moore Hall Organizers: Daniel Otero, Xavier University otero@xavier.xu.edu
C. Edward Sandifer, Western Connecticut State University sandifer@wcsub.ctstateu.edu

2:40 p.m.
Hensel's $p$adic numbers: early history.
Fernando Q Gouvea*, Colby College
(94701138)

3:20 p.m.
The Development of Whole Number Algorithms in the United States.
Susan C Ross*, University of Southern Mississippi
(94701146)

4:00 p.m.
How did the Pythagoreans Prove the Side of a Square is Incommensurable With Its Diagonal?
Jeff A Suzuki*, Boston University, College of General Studies
(94701119)

Sunday October 3, 1999, 2:40 p.m.5:00 p.m.
Special Session on Number Theory
Room III, Moore Hall Organizers: Michael I. Rosen, Brown University mrosen@math.brown.edu
Siman Wong, Brown University siman@math.brown.edu

2:40 p.m.
Tamely Ramified Towers and Discriminant Bounds for Number Fields.
Farshid Hajir*, UCLA & Cal State Univ. San Marcos
Christian Maire, Universite de Bordeaux 1
(9471170)

3:10 p.m.
padic Distributions and padic Representation Theory.
Jeremy Teitelbaum*, University of Illinois at Chicago
(9471167)

3:40 p.m.
Toric Varieties and Modular Forms.
Lev A Borisov, Columbia University
Paul E Gunnells*, Columbia University
(94711131)

4:10 p.m.
Counting elliptic curves.
Jeffrey D. Achter*, UMass Amherst
Clifton Cunningham, UMass Amherst
(9471182)

4:40 p.m.
On Greenberg's Conjecture.
David C Marshall*, University of Arizona
William G McCallum, University of Arizona
(94711164)
Inquiries: meet@ams.org

