TFTs via DAG

Abstract: One very nice feature of derived algebraic geometry, and specifically shifted symplectic geometry, is how convenient it is to tackle topological field theories. We will first review the recent history of this approach, through the fundamental use of mapping stacks and the Betti shape. We will illustrate our review with many very concrete examples and noncommutative applications, before explaining how the (recently proved) Moore--Tachikawa conjecture lead us to considering the Dolbeault shape in view of defining a new TFT associated to Higgs fields. This reports an ongoing collaboration with Damien Calaque, Julien Grivaux and Hugo Pourcelot.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

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