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DTSTART:20250330T030000
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DTSTAMP:20260424T100036Z
UID:648ae4751eadd125403031@ist.ac.at
DTSTART:20250116T130000
DTEND:20250116T150000
DESCRIPTION:Speaker: Tommaso Scognamiglio\nhosted by Tim Browning\nAbstract
 : For a Riemann surface X and a complex reductive group G\, G-character va
 rieties are moduli spaces parametrizing G-local systems on X. When G=GLn\,
  the cohomology of these character varieties have been deeply studied and 
 under the so-called genericity assumptions\, their cohomology admits an al
 most full description\, due to Hausel\, Letellier\, Rodriguez-Villegas and
  Mellit. An interesting aspect is that the geometry of these varieties is 
 related to the representation theory of the finite group GLn(Fq).We expect
  in general that G-character varieties should be related to (Fq)-represent
 ation theory\, where (Fq) is the Langlands dual.In the first part of the t
 alk\, I will recall the results concerning GLn.In the second part\, I will
  explain how to generalize some of these results when G=PGL2. In particula
 r\, we will see how to relate PGL2-character varieties and the representat
 ion theory of SL2(Fq). This is joint work with Emmanuel Letellier.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Tommaso Scognamiglio: PGL2-character varieties and Langlands dualit
 y over finite fields
URL:https://talks-calendar.ista.ac.at/events/5437
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