报告人：Alexei Davydov,University of New Hampshire
报告题目：Deformation cohomology of monoidal categories and functors
报告摘要：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.