##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Nathan Green

#### UCSD

## Logarithms and t-Motivic Multiple Zeta Values

##### Abstract:

For each function field multiple zeta value (defined by Thakur), we construct a t-module with an attached logarithmic vector such that a specific coordinate of the logarithmic vector is a rational multiple of that multiple zeta value. We then show that the other coordinates of this logarithmic vector contain hyperderivatives of a deformation of these multiple zeta values, which we call t-motivic multiple zeta values. This allows us to give a logarithmic expression for monomials of multiple zeta values. Joint work with Chieh-Yu Chang and Yoshinori Mishiba.

Host: Cristian Popescu

### November 15, 2018

### 1:00 PM

### AP&M 7321

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