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SUMMARY:P=W conjectures for character varieties with a symplectic resoluti
 on
DTSTART:20201202T151500
DTEND:20201202T163000
DTSTAMP:20260510T164907Z
UID:6e1d81f89202294e33247b9842dab4a70a4eef6fd9196dd8c7282e86
CATEGORIES:Conferences - Seminars
DESCRIPTION:Camilla Felisetti (Università di Trento)\n \n\nDescription:\
 nP=W conjectures for character varieties with a symplectic resolution\n\nC
 haracter varieties parametrise representations of the fundamental group of
  a curve.\nIn general these moduli spaces are singular\, therefore it is c
 ustomary to slightly change the moduli problem and consider smooth analogu
 es\, called twisted character varieties.\nIn this setting\, the P=W conjec
 ture by de Cataldo\, Hausel\, and Migliorini suggests a surprising connect
 ion between the topology of Hitchin systems and Hodge theory of character 
 varieties.\nIn a joint work with M. Mauri we establish (and in some cases 
 formulate) analogous P=W phenomena in the singular case .\nIn particular w
 e show that the P=W conjecture holds for character varieties which admit a
  symplectic resolution\, namely in genus 1 and arbitrary rank and in genus
  2 and rank 2.\n\n(30 minutes general talk followed by 45 minutes research
  talk)
LOCATION:Zoom
STATUS:CONFIRMED
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