BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:A proof of P=W conjecture
DTSTART:20221124T101500
DTEND:20221124T114500
DTSTAMP:20260510T045152Z
UID:f364074b33d11aa62c54dafe1926f3dd71e40bf41cb3dc332b8f87a1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sasha Minets (University of Edinburgh)\nLet C be a smooth proj
 ective curve. The non-abelian Hodge theory (NAHT) of Simpson is a diffeomo
 rphism between the character variety M_B of C and the moduli of (semi)stab
 le Higgs bundles M_D on C. Since this diffeomorphism is not algebraic\, it
  induces an isomorphism of cohomology rings\, but does not preserve finer 
 information\, such as the weight filtration. Based on computations in smal
 l rank\, de Cataldo-Hausel-Migliorini conjectured that the weight filtrati
 on on H^*(M_B) gets sent to the perverse filtration on H^*(M_D) under NAHT
 . In this talk\, I will explain a recent proof of this conjecture\, which 
 crucially uses the action of Hecke correspondences on H^*(M_D). This is a 
 joint work with T. Hausel\, A. Mellit\, O. Schiffmann.
LOCATION:GR A3 32 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR