Combinatorics and Arithmetic for Physics : Special Days

Collection Combinatorics and Arithmetic for Physics : Special Days

Organizer(s) Gérard H. E. Duchamp, Maxim Kontsevich, Gleb Koshevoy, Sergei Nechaev, and Karol A. Penson
Date(s) 28/11/2022 - 29/11/2022
linked URL https://indico.math.cnrs.fr/event/8730/
00:00:00 / 00:00:00
19 20

Landau-Ginzburg potentials via projective representations

By Béa de Laporte

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 representation theory of algebraic groups. Due to a 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.

Information about the video

  • Date of recording 29/11/2022
  • Date of publication 30/11/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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