Date: Thursday 29th November 2012 <br />Speaker: Timothy Logvinenko (Warwick) <br />Title: Spherical DG-functors <br /> <br />Abstract: Seidel-Thomas twists are autoequivalences of the derived category D(X) of an algebraic variety X. They are the mirror symmetry analogues of Dehn twists along Lagrangian spheres on a symplectic manifold. Given an object E in D(X) with numerical properties of such a sphere, Seidel and Thomas defined the spherical twist of D(E) along E, proved it to be an autoequivalence and gave braiding criteria for several such twists. <br /> <br />It was long understood that all of the above should generalise to the notion of the twist along a spherical functor into D(X). In full generality this was long obstructed by some well-known imperfections of working with triangulated categories. In this talk, I present joint work with Rina Anno, where we fix this by working with the standard DG-enhancement of D(X). We define the notion of a spherical DG-functor and give the braiding criteria for twists along such functors. <br /> <br />http://www.maths.ed.ac.uk/cheltsov/seminar/
