Hebrew University topology and geometry seminar

March 2, 2016
Ross building, Seminar Room 70A

Dmitry Tonkonog

University of Cambridge

Monotone Lagrangian tori and cluster mutations

Abstract: I will review a beautiful construction of an infinite collection of monotone Lagrangian tori in the projective plane (and other del Pezzo surfaces) due to Renato Vianna. These tori are obtained from a single one by a procedure called mutation, and I will talk about the wall-crossing formula which relates this geometric procedure to algebraic mutation known from cluster algebra. A proof of the wall-crossing formula is work in progress.