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January 17, 2023 By GeometryAdmin

Guillem Cazassus to speak in geometry seminar 31/01/2023

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
field theories.

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
Thibaut Mazuir.

Filed Under: geometry seminar news

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Département de mathématiques
Université libre de Bruxelles CP 218
Boulevard du Triomphe, Bruxelles 1050,
Belgium

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This page has a map of the campus as well as information on how to reach it via public transport. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This map shows NO, as well as the metro station Delta and entrance 2, which is right by the stop for the number 71 and 72 buses. The number 95 also stops a short walk from the department. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

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