# Jerusalem Mathematics Colloquium

Thursday, 20th November 2003, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Dr. Amnon Besser

(Ben Gurion University)

"Double shuffle relations for p-adic multiple zeta values"

** Abstract: ** Multiple zeta values are generalizations of the values of
the Riemann zeta function at positive integers. They satisfy many
interesting relations and the structure of the relations between them has deep
relations with the structure of the Galois group of the rationals. The
double shuffle relation is a linear relation between multiple zeta values,
obtained by rewriting the product of multiple zeta values as a sum of
other such values in two different ways.

Recently, Furusho defined p-adic multiple zeta values. In
our work (joint with Furusho) we prove the double shuffle relation for
these new values.

In this talk I will survey some of the basics of the theory, essentially
due to Euler, explain Furusho's work and give some ideas
about the new proof.

Light refreshments will be served in the faculty lounge at 3:30.

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