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SUMMARY:Fernando R. Villegas (ICTP\, Italy)
DTSTART:20201022T120000Z
DTEND:20201022T130000Z
DTSTAMP:20260423T005804Z
UID:AGNTISTA/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/20/
 ">Character varieties of non-orientable surfaces</a>\nby Fernando R. Ville
 gas (ICTP\, Italy) as part of Algebraic Geometry and Number Theory seminar
  - ISTA\n\n\nAbstract\nWe will discuss various types of character varietie
 s parametrizing representations of the fundamental group of a punctured no
 n-orientable surface.  We compute the number of points of these spaces ove
 r finite fields from which we get a formula for their E-series (a certain 
 specialization of the mixed Poincare series). For one type of character va
 riety we extend this calculation to a conjectural formula for the full mix
 ed Poincare series in terms of Macdonald symmetric functions and we provid
 e some evidence. Unexpectedly\, the formulas we obtain turn out to be clos
 ely related to those arising from the character varieties of punctured com
 pact orientable Riemann surfaces. This is joint work with E. Letellier.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/20/
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