Date: 2011-6-7,14:00

Venue:Conference Hall 213，Science Building

Title: Deformation cohomology of monoidal categories and functors

Speaker: Alexei Davydov

University of New Hampshire

Abstract:The tangent vector space of a space of monoidal structures on a functor will be presented as a second cohomology of a (deformation)

complex. In a similar fashion the tangent space of a space of monoidal structures on a category can be identified with a third

cohomology. We will explain how the first obstruction to extending a tangent monoidal structure to an honest one corresponds to a

Gerstenhaber (e_1-) type bracket in the first case and by an e_2-bracket in the second. Some examples and applications will also be

discussed.