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SUMMARY:Rational singularities for moment maps of totally negative quivers
DTSTART:20221102T141500
DTEND:20221102T160000
DTSTAMP:20260916T055314Z
UID:e37a819a960eec6c89b32e3cf645a74367302c0a37cfffd5f8ccbe8b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Tanguy Vernet (EPFL)\nMoment maps of quivers are key to severa
 l geometric realizations of quantum groups and counting their points over 
 finite fields has proven to be an efficient technique to compute graded di
 mensions of those. More recently\, Wyss counted jets of quiver moment maps
  over finite fields in a particular case and related their asymptotic beha
 viour to Igusa zeta functions.\nIn the first half of the talk\, I will int
 roduce these countings of jets and relate their asymptotic behaviour to ra
 tional singularities of quiver moment maps. In the second part\, I will pr
 ove that a large class of quiver moment maps have rational singularities\,
  namely moment maps of totally negative quivers. If time allows\, I will d
 iscuss some applications to singularities of other moduli spaces.
LOCATION:GR A3 31 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
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