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SUMMARY:SAG: Mumford relations and the cohomology of Le Potier moduli spac
 es
DTSTART:20251016T083000Z
DTEND:20251016T100000Z
DTSTAMP:20260314T231700Z
UID:indico-event-795@math-events.uni-bonn.de
DESCRIPTION:Speakers: Weite Pi\n\nThe geometry and topology of Le Potier m
 oduli space\, i.e. the moduli of 1-dimensional sheaves on the projective p
 lane\, have been studied intensively for decades. One particular interest 
 in this moduli space arises from enumerative geometry — the perverse fil
 tration on cohomology associated with a natural support map encodes the so
 -called refined BPS invariants for local P^2. Thus it is important to stud
 y this cohomology. In this talk\, we construct geometrically a family of t
 autological relations for this moduli space\, originally due to Mumford on
  the moduli of bundles on curves\, and derive several structural results o
 n the cohomology. Based on joint works with Yakov Kononov\, Woonam Lim\, M
 iguel Moreira\, and Junliang Shen.\n\nhttps://math-events.uni-bonn.de/even
 t/795/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/795/
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