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X-FROM-URL:https://eom.sdu.dk/events/ical/b8fef425-7c10-4786-abf8-f2a95410
 7b28
X-WR-CALNAME:QM Research Seminar: Donaldson-Thomas theory for local system
 s on the 3-Torus
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TZID:Europe/Copenhagen
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DTSTAMP:20260602T163544Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Sarunas Kaubrys [/b](University of Edinburgh) [nl]
 [nl]\n[b]Abstract:[/b][nl]\nIn this talk I will start with an overview of
  Cohomological Donaldson-Thomas (CoDT) theory\, which we view as a way to
  count objects or extract invariants from the moduli space of objects of 
 a 3-Calabi-Yau category. Although the origins of the theory come from the
  algebraic geometry of coherent sheaves on 3-Calabi-Yau varieties\, we wi
 ll focus on the topological example of closed oriented real 3-manifolds. 
 The category of local systems or fundamental group representations of suc
 h a 3-manifold has a canonical 3-Calabi-Yau structure. CoDT invariants fo
 r local systems on a 3-manifold can be defined for any connected reductiv
 e group and are conjecturally connected to invariants in low dimensional 
 topology called Skein modules. I will present my work on the computation 
 of CoDT invariants of the 3 -torus. The main structural result used in th
 e computation is called cohomological integrality which I will introduce.
  One of the consequences of such a integrality theorem is a Langlands dua
 lity between SLn CoDT invariants and PGLn CoDT invariants for prime n.\n[
 nl]\n[nl]
DTEND:20240812T140000Z
DTSTAMP:20260602T163544Z
DTSTART:20240812T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Donaldson-Thomas theory for local systems on 
 the 3-Torus
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