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X-FROM-URL:https://eom.sdu.dk/events/ical/7f3553b9-e19c-4bfb-aafd-98f8b051
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X-WR-CALNAME:QM Research Seminar: Cluster structures on braid varieties
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260521T130920Z
DTSTART:20261028T030000
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DTSTAMP:20260521T130920Z
DTSTART:20260325T020000
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DESCRIPTION:Seminar by [b]Mikhail Gorsky [/b](University of Vienna) [nl]\n
 [b] Abstract: [/b] [nl]\nA braid variety is a certain affine algebraic va
 riety associated with a simple algebraic group G and a positive braid of 
 the corresponding type. These varieties generalise open Richardson variet
 ies and appear in the context of symplectic topology and in the study of 
 link invariants such as HOMFLY-PT polynomials and Khovanov-Rozansky homol
 ogy. In this talk\, I will give a proof of the existence of cluster A-str
 uctures and cluster Poisson structures on any braid variety. I will sketc
 h an explicit construction of cluster seeds involving the diagrammatic ca
 lculus of weaves and explain certain properties of these cluster algebras
  such as local acyclicity. The talk is based on joint work with Roger Cas
 als\, Eugene Gorsky\, Ian Le\, Linhui Shen\, and José Simental (arXiv:220
 7.11607).[nl]
DTEND:20221205T150000Z
DTSTAMP:20260521T130920Z
DTSTART:20221205T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Cluster structures on braid varieties
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