

Seminar of the Department of Algebra
March 29, 2011 15:00, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)






Mutations of potentials
Sergey Galkin^{} 
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Abstract:
This is a joint work with A.Usnich. What are nontrivial collections of regular functions (on twodimensional 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.

