DMM Seminar

Speaker: Timothy Logvinenko (Cardiff U)
Title: Spherical DG-functors
Date (JST): Mon, Nov 18, 2013, 14:00 - 17:00
Place: Seminar Room A
Abstract: In the first part of my talk, I will start by recalling the theory of Seidel-Thomas twists. These are autoequivalences of the derived category D(X) of an algebraic variety X which are mirror symmetry analogues of Dehn twists along Lagrangian spheres on a symplectic manifold. Then I will report on a recent joint work with Rina Anno (UPitt) which generalises the notion from the twist along an object of D(X) to the twist along a functor into D(X). Geometrically, this corresponds to working with a subvariety of X which fibered over a non-trivial base.

In the second part of the talk I will discuss the specifics of how these spherical twists are constructed using the theory of DG-enhancements of algebraic varieties. I also describe the conditions, both categorical and geometrical, sufficient for several such spherical twists to generate a categorical braid group action on D(X).
Remarks: 14:00-15:00 (Part I)
15:30-17:00 (Part II)