Unfortunately this talk is postponed, along with the rest of Guillem’s visit. We will rearrange for later in the term.
Guillem Cazassus (Oxford) will talk in the geometry seminar at 11am in the Salle des Profs on 31/01/2023. Note the unusual time! This talk is part of an Oxbridge double bill, with Jack Smith’s talk following in the afternoon at our usual time of 2pm. Guillem’s title is “Hamiltonian actions on Floer homology and Fukaya categories” and his abstract is below.
I will talk about some algebraic structures arising on
Lagrangian Floer homology and Fukaya categories in the presence of a
Hamiltonian action of a compact Lie group. Specifically, the relevant
structure is (our version of) A-infinity bialgebras, a strong homotopy
version of bialgebras. If time permits, I will also outline how to
define a strong homotopy version of Hopf algebras.
On the one hand, this should be related to a conjecture of Teleman,
motivated by Homological Mirror Symmetry. On the other hand, our
motivation comes from gauge theory in low dimensions, and is part of a
program aimed at recasting Donaldson-Floer theory into an extended
field theory. More speculatively, we also expect these structures to
arise in higher dimensional gauge theory, following the
Donaldson-Segal program, and in relation with the Moore-Tachikawa
This is based on two joint works in progress, one with Paul Kirk, Mike
Miller-Eismeier and Wai-Kit Yeung, and another with Alex Hock and