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SUMMARY:Symplectic duality and Langlands duality
DTSTART;VALUE=DATE-TIME:20190208T020000Z
DTEND;VALUE=DATE-TIME:20190208T030000Z
DTSTAMP;VALUE=DATE-TIME:20230603T141931Z
UID:indico-contribution-639-2641@indico.ipmu.jp
DESCRIPTION:Speakers: Justin Hilburn ()\nIn this talk I would like to sket
ch how one can use the tools of derived symplectic geometry and holomorphi
cally twisted gauge theories to derive a relationship between symplectic d
uality and local Langlands. Our starting point will be an observation due
to Gaiotto-Witten that a $3d$ $\\mathcal{N}=4$ theory with a $G$ flavor sy
mmetry is a boundary condition for $4d$ $\\mathcal{N}=4$ SYM with gauge gr
oup $G$. By examining the relationship between boundary observables and bu
lk lines we will be able to derive constructions originally due to Braverm
an\, Finkelberg\, Nakajima. By examine the relationship between boundary l
ines and bulk surface operators one can derive new connections to local ge
ometric Langlands.\n\nThis is based on joint work with Philsang Yoo\, Tudo
r Dimofte\, and Davide Gaiotto.\n\nhttps://indico.ipmu.jp/event/168/contri
butions/2641/
LOCATION:Lecture Hall(1F)\, Kavli IPMU
URL:https://indico.ipmu.jp/event/168/contributions/2641/
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