Курс лекций Мартина Маркла(Mathematical Institute of the Czech Acad. of Sciences)

Мартин Маркл(Mathematical Institute of the Czech Acad. of Sciences)прочтет миникурс по теме :

"Deformation of Algebras and their Diagrams"

1."Operadic categories and Duoidal Deligne's conjecture"
2."Centers and homotopy centers in enriched monoidal categories"
3."Bipermutahedron and biassociahedron"

Аудитории и время:

пн. 1.09  время 15.30 -- 17.00  ауд.109,

вт. 2.09  время 15.30 -- 17.00  ауд.212,

ср. 3.09 время 15.30 -- 17.00  ауд.306.

Title: Deformations of algebras and their diagrams

Abstract. The series of talks will be devoted to deformation theory of algebras and their diagrams. After recalling the classical Gerstenhaber's theory for associative algebras, I will shift the attention to homotopy invariant setup of Maurer-Cartan moduli spaces. As an application, I review Kontsevich's approach to deformation quantization of Poisson manifolds. If time permits (which will probably not be the case), after a brief introduction to operads, I will describe L-infinity algebras governing deformations of (diagrams of) algebras of a given type and give an example of such an algebra.

The series will be based upon the monograph:
M. Markl: Deformation Theory of Algebras and Their Diagrams, CBMS Regional Conference Series in Mathematics, volume 116. Published by the American Mathematical Society, Providence, Rhode Island, 2012.