Fundamental groups and periods, October 13-17


It is largely a mystery which groups can be the fundamental group of a smooth complex projective variety. 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 theme of the workshop is to present the latest work on the possible fundamental groups of algebraic varieties. The theory of variations of Hodge structure and the study of monodromy representations are fundamental tools in this subject. This theory leads to the study of periods,  the numbers obtained as integrals of algebraic functions. Periods can be seen as another facet of Hodge theory. Multiple zeta values are especially important periods, related to the fundamental group of the projective line minus 3 points. The category of mixed Tate motives over the integers is intimately related with multiple zeta values.

Please click here to access the workshop page on the IAS website.

To registrer, please click here.