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SUMMARY:Mirko Mauri (University of Michigan)
DTSTART:20211028T110000Z
DTEND:20211028T130000Z
DTSTAMP:20260423T024835Z
UID:AGNTISTA/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/50/
 ">On the geometric P = W conjecture</a>\nby Mirko Mauri (University of Mic
 higan) as part of Algebraic Geometry and Number Theory seminar - ISTA\n\n\
 nAbstract\nThe geometric P = W conjecture is a conjectural description of 
 the asymptotic behavior of a celebrated correspondence in non-abelian Hodg
 e theory. In a joint work with Enrica Mazzon and Matthew Stevenson\, we es
 tablish the full geometric conjecture for compact Riemann surfaces of genu
 s one\, and obtain partial results in arbitrary genus: this is the first n
 on-trivial evidence of the conjecture for compact Riemann surfaces. To thi
 s end\, we employ non-Archimedean\, birational and degeneration techniques
  to study the topology of the dual boundary complex of certain character v
 arieties.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/50/
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