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TZID:Europe/Vienna
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DTSTART:20260329T030000
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DTSTART:20261025T020000
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BEGIN:VEVENT
DTSTAMP:20260424T033141Z
UID:665dbdca969d6632628731@ist.ac.at
DTSTART:20260507T131500
DTEND:20260507T150000
DESCRIPTION:Speaker: Du Pei\nhosted by Tamas Hausel\nAbstract: In this talk
 \, I will outline an approach to studying skein modules of 3-manifolds by 
 embedding them into the Hilbert spaces of four-dimensional supersymmetric 
 gauge theories. When the 3-manifold has reduced holonomy\, this approach l
 eads to an algorithm for the dimension of the skein module for a general g
 auge group\, expressed as a sum over nilpotent orbits in the Lie algebra\,
  which we also related to and compare with the structure of C^*-fixed loci
  in the moduli space of Higgs bundles. Surprisingly\, the dimensions often
  differ between Langlands-dual pairs\, for which I will provide a physical
  explanation. This perspective helps to clarify the relation between the g
 auge-theoretic framework of Kapustin and Witten and other versions of the 
 geometric Langlands program\, and explains why the dimensions of skein mod
 ules do not exhibit a TQFT-like behavior.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Du Pei: Gauge theory and skein modules
URL:https://talks-calendar.ista.ac.at/events/6431
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