##### Department of Mathematics,

University of California San Diego

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### Special

## Rostislav Grigorchuk

#### Texas A&M

## Ihara zeta function of infinite graphs and groups

##### Abstract:

We will define the analog of the Ihara zeta function for a Cayley graphof a finitely generated group. This will also be done for an infiniteregular graph which is a limit of a sequence of finite graphs.Interesting examples of computations based on spectral theory of fractalgroups will be considered. Some aspects of the computations are relatedto dynamical systems.

Host: Efim Zelmanov

### March 13, 2003

### 2:00 PM

### AP&M 7218

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