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X-FROM-URL:https://eom.sdu.dk/events/ical/016074e9-bfe7-4f24-984f-e86d0b9d
 a472
X-WR-CALNAME:QM Research Seminar: Spectral Fourier-Mukai transform and lev
 el-rank duality
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260905T153052Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Langwen Hui [/b](University of Illinois)\n\n[b]Abs
 tract:[/b]\nI will explain the construction of a Fourier-Mukai transform 
 in the setting of Lurie's spectral algebraic geometry\, and discuss its f
 undamental properties. This can be regarded as a derived enhancement of t
 he classical Fourier-Mukai transform for abelian varieties.\n\nAs an appl
 ication\, this yields a common refinement of three facets of the phenomen
 on known as "level–rank duality": (1) positive-energy representations of 
 LU(n)_k and LSU(k)_n (representation theory)\, (2) the level-rank duality
  on equivariant TMF (homotopy theory)\, and (3) the "strange duality" of 
 Verlinde bundles (algebraic geometry). This is joint work in progress wit
 h Daniel Berwick-Evans and Akira Tominaga.
DTEND:20260302T150000Z
DTSTAMP:20260905T153052Z
DTSTART:20260302T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Spectral Fourier-Mukai transform and level-ra
 nk duality
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