Javier Fresán
(IMJ-PRG, Sorbonne Univ.)
08/09/2025 14:00
The Bombieri-Dwork conjecture predicts that an irreducible differential operator with a G-function solution comes from geometry, that is, encodes how periods vary in a pencil of algebraic varieties. This conjecture is completely open for operators of order at least 2. At the beginning of the 90s, Dwork proposed a strategy to establish the conjecture for G-operators of order 2, which would...
Mingjia Zhang
(IAS & Princeton Univ.)
08/09/2025 15:15
The intersection cohomology of Shimura varieties is related to automorphic representations through the comparison with L^2-cohomology and the work of Borel-Casselman. I will explain joint work in progress with Ana Caraiani and Linus Hamann, where we study the intersection cohomology of Shimura varieties through Igusa stacks.
