Speaker: Sergey Galkin
Title: Mutations of potentials
Date: Mar 29, 2011, 15:00 - 16:30 [Shafarevich seminar]
Place: Steklov Mathemtical Institute, Room 540
Abstract:
This is a joint work with A.Usnich. What are nontrivial
collections of regular functions (on two-dimensional torus) such that
any two of them are birational but not biregular conjugate? Our lemma
builds infinite collections of this kind from initial function satisfying
some conditions. There are 10 examples related to del Pezzo surfaces.
In the case of the plane our functions are associated with solutions
of Markov's equation.