Séminaire de l’équipe TA
Responsables : DE CLERCQ Charles, VALLETTE Bruno et HOREL Geoffroy
Jeudi 21 mai 2026
14:00 Tristan Bozec (Université d'Angers) 
Résumé
TFTs via DAG
Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13One
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 leads 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.
