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DTSTART:20070311T020000
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DTSTAMP:20230831T011643
DTSTART;TZID=America/Detroit:20230927T160000
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SUMMARY:Workshop / Seminar:Algebraic geometry seminar: A mathematical proposal for the S-duality conjecture
DESCRIPTION:For a real four manifold X\, the S-duality conjecture of Vaffa-Witten in 1994 predicts that the S-transformation sends the gauge group SU(r) invariants counting instantons on X to the Langlands dual group SU(r)/Z_r invariants on X.  Both of the invariants satisfy modularity properties.  This is the mathematical meaning of the electro-magnetic duality in physics.  In this talk I will present a mathematical method to attack  the S-duality conjecture. The content of the proof may be related to the period-index conjecture for Brauer classes on smooth projective varieties.  The talk is based on joint work with M. Kool\, and with D. van Bree\, A. Gholampour\, and M. Kool.
UID:110800-21825536@events.umich.edu
URL:https://events.umich.edu/event/110800
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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