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SUMMARY:Geometric constructions in representation theory and symplectic du
ality
DTSTART;VALUE=DATE-TIME:20190429T141500Z
DTEND;VALUE=DATE-TIME:20190429T151500Z
DTSTAMP;VALUE=DATE-TIME:20201030T022830Z
UID:indico-event-4325@indico.math.cnrs.fr
DESCRIPTION:Representations of compact Lie groups are of fundamental impor
tance in many branches of mathematics and theoretical physics\, going back
to the famous work of Hermann Weyl. In recent years\, mathematicians ha
ve realized these representations using the topology of certain algebraic\
nvarieties. They invented two completely different constructions: one us
ing quiver varieties\, the other using geometric Langlands duality. A long
-standing open problem is to relate these two geometric constructions. I
will explain how we answer this question using the notion of symplectic d
uality and some ideas from theoretical physics. I will start by introduc
ing and motivating all the notions mentioned above.\n\nhttps://indico.math
.cnrs.fr/event/4325/
LOCATION:UCBL-Braconnier Salle Fokko
URL:https://indico.math.cnrs.fr/event/4325/
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