Nov 28 – 29, 2022
Le Bois-Marie
Europe/Paris timezone

Landau-Ginzburg Potentials via Projective Representations (Zoom)

Nov 29, 2022, 5:00 PM
45m
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Prof. Bea de LAPORTE (University of Cologne)

Description

Many interesting spaces arise as partial compactifications of Fock-Goncharov’s cluster varieties, among them (affine cones over) flag varieties which are important objects in the representation theory of algebraic groups. Due to construction of Gross-Hacking-Keel-Kontsevich, those partial compactifications give rise to Landau-Ginzburg potentials on the dual cluster varieties whose tropicalizations define interesting polyhedral cones parametrizing the theta basis on the ring of regular functions on the cluster varieties. In this talk, after explaining the background, we give an interpretation of these Landau-Ginzburg potentials as F-polynomials of projective representations of Jacobian algebras. This is joint work with Daniel Labardini-Fragoso.

Presentation materials

There are no materials yet.