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DTSTAMP:20220526T171330Z
UID:1642705200@ist.ac.at
DTSTART:20220120T200000
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DESCRIPTION:Speaker: David D Ben-Zvi\nhosted by Tamas Hausel\nAbstract: I w
ill present joint work with Yiannis Sakellaridis and Akshay Venkatesh\, in
which we apply a perspective from topological field theory to the relativ
e Langlands program. The main geometric objects are hyperspherical varieti
es for a reductive group\, a nonabelian counterpart of hypertoric varietie
s which include the cotangent bundles of spherical varieties. To a hypersp
herical variety one can assign two quantization problems\, automorphic and
spectral\, both resulting in structures borrowed from QFT. The automorphi
c quantization (or A-side) organizes objects such as periods\, Plancherel
measure\, theta series and relative trace formula\, while the spectral qua
ntization (or B-side) organizes L-functions and Langlands parameters. Our
conjectures organize the relative Langlands program as a duality operation
on hyperspherical varieties\, which exchanges automorphic and spectral qu
antizations (and may be seen as Langlands duality for boundary conditions
in 4d TFT\, a refined form of symplectic duality / 3d mirror symmetry).
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:David D Ben-Zvi: Quantization and Duality for Hyperspherical Variet
ies
URL:https://talks-calendar.app.ist.ac.at/events/3323
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