Fundamental Groups and Periods
Month: October 2014
Date: October 13--17
Name: Fundamental Groups and Periods
Location: Institute for Advanced Study, Princeton, New Jersey.
A workshop held as part of the yearlong program "Topology of Algebraic Varieties" at the Institute for Advanced Study. It is largely a mystery which groups can be the fundamental group of a smooth complex projective varieties. Hodge theory gives many restrictions on the possible fundamental groups, but there is a big gap between the known examples and the known restrictions. One goal of the workshop is to present the latest work on the possible fundamental groups of algebraic varieties. A second theme is the study of periods, the numbers obtained as integrals of algebraic functions. Multiple zeta values are special periods which are intimately related with the category of mixed Tate motives over the integers.