UPCOMING ACTIVITIES  ☞  Subscribe to mailing list

Graduate Courses

Topics in Ergodic Theory
    by Meysam Nassiri (IPM), Ali Tahzibi (Univ. Sao Paulo) and Amin Talebi (IPM)
    IPM (Winter-Spring 2022)
    Course description

برای دانشجویان دیگر دانشگاه‌ها امکان ثبت نام رسمی در این درس به عنوان دانشجوی مهمان در پژوهشگاه دانش‌های بنیادی فراهم شده است. برای ثبت‌نام رسمی با دفتر پژوهشکده ریاضیاتِ تماس بگیرید.

Geometry and Topology Weekly Seminar

Printable Version
Azizeh Nozad
Mixed Hodge Structures of Character Varieties
Date & Time:
Wednesday, Jun. 14, 2023, 15:30-17:00
Lecture Hall 1
The topology of character varieties of surface groups is well known to be of fundamental importance, in part through its relationship, via the non-abelian Hodge theory to the moduli spaces of Higgs bundles. The calculation of Serre (also known as E-) polynomials of these varieties received an important impetus with works of Hausel and Rodriguez-Villegas (2008). These arithmetic methods, as well as new geometric techniques have been successfully developed and applied to other cases, like moduli of quiver representations, and character varieties of free or free abelian groups. In this talk we will introduce another point of view in the computations of the E-polynomials of character varieties for arbitrary finitely presented groups, based on a natural stratification coming from affine GIT and the combinatorics of partitions.