##### Department of Mathematics,

University of California San Diego

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### Food for Thought Seminar

## Maia Averett

#### Graduate Student, UCSD

## That group's a real klass act: A little introduction to K-theory

##### Abstract:

K-theory is a valuable tool with applications in various areas of mathematics, including topology, geometry, algebraic geometry, and number theory. In this talk I will attempt to give a rough outline of what K-theory is about, in the algebraic as well as the geometric context. Given a ring R and a space X, I will define the groups K(R) and K(X), and explain the relation between the two. I also hope to outline some applications in various fields. This talk should be accessible and I hope interesting to students of both algebra and geometry alike.

### January 11, 2007

### 12:00 PM

### AP&M 7321

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