##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Vasiliy Dolgushev

#### University of California, Riverside

## Formality for the homotopy Gerstenhaber algebra of Hochschild cochains

##### Abstract:

In my talk I will try to explain the result of my joint paper arXiv:math/0605141 with D. Tamarkin and B. Tsygan in as popular way as possible. First, I will convince you that the notion of ``homotopy Gerstenhaber algebra'' is not so crazy. Second, I will recall algebraic structures on Hochschild cochains and formulate the main theorem. Finally, I will explain the idea of the proof referring to the well known bar/cobar constructions for associative algebras. Well, if the bar/cobar constructions are not well known then they will be well known after my talk.

Host: Dan Rogalski

### March 4, 2008

### 2:00 PM

### AP&M 7218

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