Associative YangBaxter equation and related 1CY categories
Alexander Polishchuk (Oregon)  Seminar Algebraic Geometry (SAG)
What 


When 
Oct 12, 2017 from 10:30 am to 11:30 am 
Where  Bonn, Hörsaal MPI, Vivatsgasse 7, 53111 Bonn 
Contact Name  Sachinidis 
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The talk is based on the joint work with Yanki Lekili. The associative YangBaxter equation
is a quadratic equation related to both classical and quantum YangBaxter equations. It appears
naturally in connection with triple Massey products in the derived category of coherent sheaves
on elliptic curve and its degenerations. We show that all of its nondegenerate trigonometric solutions
are obtained from Fukaya categories of some noncompact surfaces. We use this to prove that
any two simple vector bundles on a cycle of projective lines are related by a sequence
of spherical twists.