AMS Sectional Meeting Full Program
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1996 Fall Western Sectional Meeting
Pasadena, CA, November 1617, 1996
Meeting #917
Associate secretaries: William A Harris, Jr, AMS wharris@math.usc.edu
Saturday November 16, 1996

Saturday November 16, 1996, 8:00 a.m.10:50 a.m.
Special Session on Hopf Algebras and Their Representations, I
Room 107, Downs Laboratory Organizers: Davida Fischman, California State University, San Bernardino fischman@math.csusb.edu
M. Susan Montgomery, University of Southern California smontgom@mtha.usc.edu

8:00 a.m.
Brauer Groups of Quantum Groups and Braided Categories.
Fred Van Oystaeyen*, University of Antwerp, Belgium
(91716132)

8:30 a.m.
Galois extensions for CoFrobenius Hopf Algebras.
Margaret Beattie*, Mount Allison University, Canada
Sorin Dascalescu, University of Bucharest, Romania
Serban Raianu, University of Bucharest, Romania
(91716135)

9:00 a.m.
Hopf algebras over noncommutative rings
Peter C. Schauenburg*, Universitat Munchen, Germany
(91716116)

9:30 a.m.
Weak and Strong Structure Theorems.
Claudia Menini*, Universit\'a degli Studi di Ferrara, Italy
(91716102)

10:00 a.m.
Isomorphic Galois Extensions
Robert G. Underwood*, Auburn University at Montgomery
(91713106)

10:30 a.m.
The $R/k$bialgebra of trees and differential algebra
Richard G. Larson*, University of Illinois at Chicago
(9171641)

Saturday November 16, 1996, 8:30 a.m.10:50 a.m.
Special Session on History of Mathematics, I
Room 151, Sloan Laboratory Organizers: Shawnee L. McMurran, Pomona College
James J. Tattersall, Providence College tat@providence.edu

8:30 a.m.
Pythagoras and the Crisis over Incommensurability
Samuel S. Kutler*, CSHPM
(9170195)

9:00 a.m.
The History of the Bachet Equation
William Sherron Anglin*, University of Toronto
(9170116)

9:30 a.m.
A Mathematician's Tale: The Life of Vito Volterra
Judith Goodstein*, Caltech, Pasadena, CA
(9170180)

10:00 a.m.
A research student in Cambridge, 19311933.
John Todd*, Caltech
(9170114)

10:30 a.m.
Multiple Fourier Series in the Post World War II Era.
Victor L. Shapiro*, University of California, Riverside
(9170178)

Saturday November 16, 1996, 8:40 a.m.10:50 a.m.
Special Session on Group Actions and Noncommutative Algebra, I
Room 103, Downs Laboratory Organizers: Zinovy Reichstein, Oregon State University zinovy@math.orst.edu
Nikolaus Vonessen, University of Montana vonessen@selway.umt.edu

8:40 a.m.
Actions of Picard groups on graded rings.
Jeremy Haefner*, University of Colorado
Angel del R\'io, Universidad de Murcia
(9171694)

9:15 a.m.
On moduli spaces of stable vector bundles
Yi Hu*, University of California Berkeley
(91714115)

9:50 a.m.
Actions of algebraic groups on the spectrum of rational ideals
Nikolaus Vonessen*, University of Montana
(9171673)

10:25 a.m.
Multiplicative actions of finite groups
Martin W. Lorenz*, Temple University, Philadelphia
(9171646)

Saturday November 16, 1996, 9:00 a.m.10:50 a.m.
Special Session on Analysis on Singular and Noncompact Spaces, I
Room 159, Sloan Laboratory Organizers: Xianzhe Dai, University of Southern California xdai@mtha.usc.edu
Rafe R. Mazzeo, Stanford University mazzeo@hodge.stanford.edu

9:00 a.m.
Adiabatic limits of the SeibergWitten equations on Seifert manifolds
Liviu I. Nicolaescu*, University of Michigan Ann Arbor
(9175845)

9:40 a.m.
SeibergWitten Floer Theory
Matilde Marcolli*, The University of Chicago
(9175752)

10:20 a.m.
On the space of selfdual Einstein metrics on the 4ball
John M. Lee*, University of Washington
Rafe Mazzeo, Stanford University
(9175398)

Saturday November 16, 1996, 9:00 a.m.10:50 a.m.
Special Session on Dynamical Systems, I
Room 153, Sloan Laboratory Organizers: Rafael de la Llave, University of Texas at Austin llave@math.utexas.edu
Maciej P. Wojtkowski, University of Arizona maciejw@math.arizona.edu

9:00 a.m.
Perturbations of Hamiltonian Normal Forms
Jerrold E. Marsden*, Caltech
(9175855)

9:30 a.m.
The Equichordal Point Problem and the existence of heterolinic and homoclinic connections
Marek R. Rychlik*, University of Arizona
(9173947)

10:00 a.m.
The dynamics of contact structures
Robert W. Ghrist*, University of Texas, Austin
John B. Etnyre, University of Texas, Austin
(9175753)

10:30 a.m.
Some aspects of the Arnold's diffusion problem
Michael Rudnev*, Caltech
(9173484)

Saturday November 16, 1996, 9:00 a.m.10:55 a.m.
Special Session on Probability, I
Room 114, E. Bridge Laboratory Organizers: Thomas M. Liggett, University of California, Los Angeles tml@math.ucla.edu

9:00 a.m.
The Asymmetric Random Cluster Model and Comparisons Among Potts Models
Kenneth S. Alexander*, University of Southern California
(9176050)

9:40 a.m.
A Strict Inequality Between Site and Bond Critical Probabilities
Alan M Stacey*, University of Cambridge
(9176070)

10:20 a.m.
Mixing and Determinism in Random Fields
Robert M. Burton*, Oregon State University
(9176075)

Saturday November 16, 1996, 11:00 a.m.11:50 a.m.
Invited Address
Geometric microlocal analysis and its applications
Room 201, E. Bridge Laboratory
Rafe Mazzeo*, Stanford University
(9175824)

Saturday November 16, 1996, 2:00 p.m.2:50 p.m.
Invited Address
The Ising model in recent years: Wulff droplets, metastability and strong mixing properties.
Room 201, E. Bridge Laboratory
Roberto Henrique Schonmann*, University of California, Los Angeles
(9176010)

Saturday November 16, 1996, 3:00 p.m.5:30 p.m.
Special Session on Analysis on Singular and Noncompact Spaces, II
Room 159, Sloan Laboratory Organizers: Xianzhe Dai, University of Southern California xdai@mtha.usc.edu
Rafe R. Mazzeo, Stanford University mazzeo@hodge.stanford.edu

3:00 p.m.
Gluing SelfDual 4Orbifolds
Jian Zhou*, UC at Santa Barbara
(9175396)

3:40 p.m.
Shifted $L^2$Invariants
John W. Lott*, University of Michigan, Ann Arbor
(9175399)

4:20 p.m.
Gluing Constant Mean Curvature Surfaces
Daniel Pollack*, University of Washington
(91758111)

5:00 p.m.
Higher Spectral Flow.
Xianzhe Dai*, USC
Weiping Zhang, Nankai Institute of Mathematics, Tainjing, PRC
(9175864)

Saturday November 16, 1996, 3:00 p.m.4:50 p.m.
Special Session on Dynamical Systems, II
Room 153, Sloan Laboratory Organizers: Rafael de la Llave, University of Texas at Austin llave@math.utexas.edu
Maciej P. Wojtkowski, University of Arizona maciejw@math.arizona.edu

3:00 p.m.
Denjoy minimal sets are far from affine.
Alec Norton*, University of Texas, Austin
(9175848)

3:30 p.m.
Noninvertible Piecewise Continous Mappings and Subshifts of Finite Type
Arek J. Goetz*, Boston University
(9175874)

4:00 p.m.
Estimating the dimension of spectral measures of ergodic transformations and flows.
Oliver R. Knill*, University of Arizona, Tucson
A. Hof, Caltch
(9175837)

4:30 p.m.
Topics in holomorphic dynamics
Ricardo PerezMarco*, Univ of Cal, Los Angeles
(91758113)

Saturday November 16, 1996, 3:00 p.m.5:45 p.m.
Special Session on Group Actions and Noncommutative Algebra, II
Room 103, Downs Laboratory Organizers: Zinovy Reichstein, Oregon State University zinovy@math.orst.edu
Nikolaus Vonessen, University of Montana vonessen@selway.umt.edu

3:00 p.m.
Near subgroups of finite groups
Michael Aschbacher*, Caltech
(9172019)

3:35 p.m.
Crossed products of restricted enveloping algebras
Mark C. Wilson*, University of Auckland
(9171656)

4:10 p.m.
Torsion in the Class Group of a Noncommutative Curve
Christopher J. Pappacena*, University of Southern Claifornia
(9171668)

4:45 p.m.
Linear Ultrafilters
George M. Bergman*, University of California, Berkeley
Ehud Hrushovski, Institute of Mathematics, Hebrew University of Jerusalem, Israel
(9171660)

5:20 p.m.
Higher commutators, ideals, and cardinality
Charles P. Lanski*, University of Southern California
(91716105)

Saturday November 16, 1996, 3:00 p.m.5:20 p.m.
Special Session on History of Mathematics, II
Room 151, Sloan Laboratory Organizers: Shawnee L. McMurran, Pomona College
James J. Tattersall, Providence College tat@providence.edu

3:00 p.m.
P.A.M. Dirac
Shawnee L. McMurran*, Pomona College
(9170169)

3:30 p.m.
Solution to an ancient combinatorial riddle
Richard P. Stanley*, Massachusetts Institute of Technology
(9170122)

4:00 p.m.
Cubic curves, coordinates and classification: Geometric style between Newton and Euler.
John D. Andersen*, Institute for History and Philosphy of Science and Technology, University of Toronto
(91701109)

4:30 p.m.
The Number Theoretic Legacy of Sophie Germain
Reinhard C Laubenbacher*, New Mexico State University
David Pengelley, New Mexico State University
(9170136)

5:00 p.m.
Report on the Institute in the History of Mathematics and its Use in Teaching
David Barsky, California State University, San Marcos
Janet Beery, University of Redlands
John Burns, Mt. San Antonio College
Shirley Gray, California State University, Los Angeles
Lilian Metlitzky*, California State Polytechnic University, Pomona
Robert Stein, California State University, San Bernardino
(91701119)

Saturday November 16, 1996, 3:00 p.m.6:20 p.m.
Special Session on Hopf Algebras and Their Representations, II
Room 107, Downs Laboratory Organizers: Davida Fischman, California State University, San Bernardino fischman@math.csusb.edu
M. Susan Montgomery, University of Southern California smontgom@mtha.usc.edu

3:00 p.m.
Cocycle deformations of quantum matrix bialgebras.
Mitsuhiro Takeuchi*, University of Tsukuba, Japan
(9171689)

3:30 p.m.
QuasiDiscrete Quantums
A. Van Daele, Katholieke Univ. Leuven
Yinhuo Zhang*, University of Antwerp, Belgium
(91716131)

4:00 p.m.
Quantum Coalgebras
David E. Radford*, University of Illinois at Chicago
(91716123)

4:30 p.m.
Quantum convolution when $q$ is not a root of unity
Earl J. Taft*, Rutgers University, New Brunswick
(91716108)

5:00 p.m.
Quantum determinant and Dieudonne determinant
Horia C. Pop*, University of Iowa
(9171638)

5:30 p.m.
Normal elements in braided bialgebras
Kenneth R Goodearl*, University of California at Santa Barbara
Kenneth A Brown, University of Glasgow
(91716110)

6:00 p.m.
Injective comodules for the quantized function coalgebra of SL(2) at a root of 1.
William Chin*, DePaul University
Krop Leonid, DePaul University
(9171767)

Saturday November 16, 1996, 3:30 p.m.5:25 p.m.
Special Session on Probability, II
Room 114, E. Bridge Laboratory Organizers: Thomas M. Liggett, University of California, Los Angeles tml@math.ucla.edu

3:30 p.m.
Almostsure mixing for stochastic flows of diffeomorphisms
Peter H Baxendale*, University of Southern California
(9176071)

4:10 p.m.
Properties of critical threshold growth dynamics
Janko Gravner*, University of California, Davis
(9176017)

4:50 p.m.
Deterministic and Stochastic Models for Coalescence: A Survey of the MeanField Theory
David J. Aldous*, University of California, Berkeley
(9176031)
Sunday November 17, 1996

Sunday November 17, 1996, 8:00 a.m.10:50 a.m.
Special Session on Hopf Algebras and Their Representations, III
Room 107, Downs Laboratory Organizers: Davida Fischman, California State University, San Bernardino fischman@math.csusb.edu
M. Susan Montgomery, University of Southern California smontgom@mtha.usc.edu

8:00 a.m.
Hopf algebras of order $p^2$ and braided Hopf algebras of order $p$.
HansJ\"urgen Schneider*, Universit\"at M\"unchen, Germany
(91717130)

8:30 a.m.
Quantum Groups of Dimension $pq^2$
Shlomo Gelaki*, Ben Gurion University of the Negev, Beersheva 84105 Israel
(9171683)

9:00 a.m.
On the faithful flatness of a Hopf algebra over its grouplikesubHopf algebra
SiuHung Ng*, Rutgers University, New Brunswick
(9171692)

9:30 a.m.
Detrminants and symmetries in YetterDrinfel'd categories.
Miriam Cohen, Ben Gurion University
Sara Westreich*, BarIlan University
(91716122)

10:00 a.m.
Self dual Hopf algebras
Edward L. Green*, Virginia Tech
(9171620)

10:30 a.m.
Faithfully flat forms and cohomology of Hopf algebra extensions.
Akira Masuoka*, Shimane University
(9171601)

Sunday November 17, 1996, 8:05 a.m.10:50 a.m.
Special Session on Group Actions and Noncommutative Algebra, III
Room 103, Downs Laboratory Organizers: Zinovy Reichstein, Oregon State University zinovy@math.orst.edu
Nikolaus Vonessen, University of Montana vonessen@selway.umt.edu

8:05 a.m.
Imbeddings of topological groups into linear spaces.
Boris S. Khots*,
(91722136)

8:40 a.m.
Primitive Ideals in the Enveloping Algebra of the Lie Superalgebra$osp(1,2r)$
Ian M Musson*, University of WisconsinMilwaukee
(91717103)

9:15 a.m.
Quantum ${{\Bbb P}}^3$s which embed Quantum Quadrics
Michaela Vancliff*, University of Oregon
Kristel Van Rompay, University of Antwerp, U.I.A.
(9171627)

9:50 a.m.
Quadratic algebras of global dimension three.
Darin R. Stephenson*, University of California, San Diego
(91716114)

10:25 a.m.
On the trace of graded automorphisms
James J. Zhang*, University of Washington
(9171640)

Sunday November 17, 1996, 8:30 a.m.10:50 a.m.
Special Session on History of Mathematics, III
Room 151, Sloan Laboratory Organizers: Shawnee L. McMurran, Pomona College
James J. Tattersall, Providence College tat@providence.edu

8:30 a.m.
Charles Babbage and Cryptography
James J. Tattersall*, Providence College
(9170172)

9:00 a.m.
Early Voyages Into Logarithmic Seas
Barnabas B. Hughes*, California State University, Northridge
(9170118)

9:30 a.m.
Historical pi calculations via the student project
C. Ara Pehlivanian*, U.S. Military Academy, West Point
(91701101)

10:00 a.m.
Debeaune's Commentary on Descartes' Geometry
C. Edward Sandifer*, Western Connecticut State University
(9170197)

10:30 a.m.
The Early History of the Cornell Math Department: A Case Study inthe Emergence of the American Mathematical Community
Gary G. Cochell*, CulverStockton College
(91701107)

Sunday November 17, 1996, 9:00 a.m.10:50 a.m.
Special Session on Analysis on Singular and Noncompact Spaces, III
Room 159, Sloan Laboratory Organizers: Xianzhe Dai, University of Southern California xdai@mtha.usc.edu
Rafe R. Mazzeo, Stanford University mazzeo@hodge.stanford.edu

9:00 a.m.
The Heat Kernel for Manifolds with Conic Singularities
Edith A . Mooers*, UCLA
(9173544)

9:40 a.m.
Singular Curves and a Sard Theorem in subRiemannian Geometry
Richard W. Montgomery*, USCS Santa Cruz
(9175865)

10:20 a.m.
Spectral theory of the Laplacian on fractals
Leonid Malozemov, Kaiser Permanente, California
Alexander Teplyaev*, Cornell University
(91735127)

Sunday November 17, 1996, 9:00 a.m.10:50 a.m.
Special Session on Dynamical Systems, III
Room 153, Sloan Laboratory Organizers: Rafael de la Llave, University of Texas at Austin llave@math.utexas.edu
Maciej P. Wojtkowski, University of Arizona maciejw@math.arizona.edu

9:00 a.m.
Dynamical systems with some hyperbolic properties
LaiSang Young*, UCLA
(9175863)

9:30 a.m.
Convergence of densities for piecesise affine approximations of interval maps.
Nicolai Haydn*, University of Southern California
(9175861)

10:00 a.m.
Properties of solutions of complex differential equations
Alberto Candel*, Caltech
(9175887)

10:30 a.m.
Extremal rotation numbers for torus shear homeomorphisms
Erik Doeff*, Montana State University  Bozeman
Michal Misiurewicz, IUPUI
(9175832)

Sunday November 17, 1996, 11:00 a.m.11:50 a.m.
Invited Address
Essential dimension of reductive groups.
Room 201, E. Bridge Laboratory
Zinovy Reichstein*, Oregon State University
(9171603)

Sunday November 17, 1996, 2:00 p.m.2:50 p.m.
Invited Address
Hamiltonian Systems with Hyperbolic Properties.
Room 201, E. Bridge Laboratory
Maciej P. Wojtkowski*, University of Arizona
(91758133)

Sunday November 17, 1996, 3:00 p.m.4:50 p.m.
Special Session on Analysis on Singular and Noncompact Spaces, I
Room 159, Sloan Laboratory Organizers: Xianzhe Dai, University of Southern California xdai@mtha.usc.edu
Rafe R. Mazzeo, Stanford University mazzeo@hodge.stanford.edu

3:00 p.m.
Inverse scattering problems for the Schr\"odinger operators with external YoungMills potentials
Gregory Eskin*, UCLA
James Ralston, UCLA
(9173566)

3:40 p.m.
Invariant Gibbs measures for 2D nonlinear wave equations
Jean Bourgain, Institute for Advanced Study
Arthur Jaffe, Harvard University
Wensheng Wang*, USC, Los Angeles
(9173576)

4:20 p.m.
Regularity of fourth order equation in conformal geometry
SunYung A. Chang, UCLA
Matthew J. Gursky, Indiana University
Paul C. Yang*, USC
(91753134)

Sunday November 17, 1996, 3:00 p.m.4:50 p.m.
Special Session on Dynamical Systems, IV
Room 153, Sloan Laboratory Organizers: Rafael de la Llave, University of Texas at Austin llave@math.utexas.edu
Maciej P. Wojtkowski, University of Arizona maciejw@math.arizona.edu

3:00 p.m.
The integral manifold of the threebody problem
Qiudong Wang*, UCLA
(9173459)

3:30 p.m.
Arnold DiffusionIssues and Recent Results
Stephen Wiggins*, Caltech
(9175862)

4:00 p.m.
Strange Attractors in Dynamical Systems
Bjorn Birnir*, University of California, Santa Barbara
(91758112)

4:30 p.m.
Periodic orbits and complexity for billiards in polygons
Eugene Gutkin*, University of Southern California
(9175857)

Sunday November 17, 1996, 3:00 p.m.4:50 p.m.
Special Session on History of Mathematics, IV
Room 151, Sloan Laboratory Organizers: Shawnee L. McMurran, Pomona College
James J. Tattersall, Providence College tat@providence.edu

3:00 p.m.
Charles L. Dodgson's Contributions to Linear Algebra and to the Theory of Parallels
Francine F. Abeles*, Kean College of New Jersey
(9170181)

3:30 p.m.
Alfred Tarski comes to the USA: The hard years.
Anita Burdman Feferman*, Stanford University
(91701117)

4:00 p.m.
When Tarski met G\"odel.
Solomon Feferman*, Stanford University
(91701118)

4:30 p.m.
Mathematical Etymology
John Horton Conway*, Princeton University
(91701126)

Sunday November 17, 1996, 3:00 p.m.5:50 p.m.
Special Session on Hopf Algebras and Their Representations, IV
Room 107, Downs Laboratory Organizers: Davida Fischman, California State University, San Bernardino fischman@math.csusb.edu
M. Susan Montgomery, University of Southern California smontgom@mtha.usc.edu

3:00 p.m.
Indecomposable Modules of Reduced Enveloping Algebras
Rolf Farnsteiner*, University of WisconsinMilwaukee
(9171690)

3:30 p.m.
Finite stratification of spectra, the DixmierMoeglin Equivalence,and $q$skew polynomial algebras
Kenneth R. Goodearl, University of California, Santa Barbara
Edward S. Letzter*, Texas A & M University
(91716100)

4:00 p.m.
Invariants of skew derivations.
Jeffrey Bergen*, DePaul University
Piotr Grzeszczuk, Univesity of Warsaw
(91716128)

4:30 p.m.
Crossed Products, Goldie Rings, and Rings of Quotients
Dmitriy Rumynin*, University of Massachusetts at Amherst
(9171643)

5:00 p.m.
Irreducible Representations of Crossed Products
Sarah J. Witherspoon*, University of Toronto and University of California, Berkeley
Susan Montgomery, University of Southern California
(9171613)

5:30 p.m.
On the Grothendieck ring of a Hopf algebra
Martin W. Lorenz*, Temple University, Philadelphia
Loretta F. Tokoly, Temple University, Philadelphia, PA 191226094
(9171658)

Sunday November 17, 1996, 3:00 p.m.3:40 p.m.
Contributed Papers, I
Room 103, Downs Laboratory

3:00 p.m.
Rate of convergence of some neural network operators to the unitunivariate case.
George A. Anastassiou*, The University of Memphis
(9174107)

3:15 p.m.
Induced Embeddings in Steinhaus Graphs
Franz A. Delahan*, University of California.Irvine
(9170554)

3:30 p.m.
Vedic mathematics and prehistoric research.
Jamuna P. Ambasht*, Benedict College
(91701137)
Inquiries: meet@ams.org

