##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Manny Reyes

#### Bowdoin College

## Skew Calabi-Yau algebras from smash products

##### Abstract:

A Calabi-Yau algebra is a noncommutative analogue of the coordinate ring of a Calabi-Yau variety. It is well-known that if $G$ is a group acting on a Calabi-Yau algebra $A$, then the smash product $A \#G$ remains Calabi-Yau under sufficiently good conditions. However, there are cases in which a smash product $A \# G$ may become Calabi-Yau even if $A$ is not Calabi-Yau. We will explain how this can occur by studying the more general notion of a \emph{skew Calabi-Yau algebra}. This is joint work with D.~Rogalski and J.J.~Zhang.

Host: Dan Rogalski

### March 12, 2012

### 3:00 PM

### AP&M 7218

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