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SUMMARY:Hamiltonian elements in algebraic K-theory [MPIM]
DTSTART:20250612T104500Z
DTEND:20250612T114500Z
DTSTAMP:20260913T022400Z
UID:indico-event-481@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yakov Savelyev\n\nBonn symplectic geometry seminar\n
 I will explain how to associate elements in algebraic K-theory of a commut
 ative ring\, and some categorified analogues of the latter\, using Hamilto
 nian fiber bundles and Floer theory. This is analogous to the classical st
 ory of complex K-theory elements induced by finite dimensional complex vec
 tor bundles. In particular\, this produces non-trivial elements in categor
 ified algebraic K-theory (Bertrand Toen's secondary K-theory). The story g
 ives a path to generalizing homological mirror symmetry to algebraic K-the
 ory context\, using Langlands dual group formalism. \n\nhttps://math-even
 ts.uni-bonn.de/event/481/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/481/
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