### Multiple Zeta Values

Gangl, H *(Durham University)*

Tuesday 08 January 2013, 15:30-16:30

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

Special values of the famous Riemann zeta function at integer points have long been known to be of high arithmetic significance.
They can be regarded as a special (depth 1) case of multiple zeta values whose renaissance--after Euler's seminal work which had been mostly forgotten--about 25 years ago, in particular by Zagier and Goncharov in an arithmetic context and by Broadhurst in particle physics, has triggered a flurry of activity producing lots of results and many more conjectural properties about these numbers. We will try to give some of the basic properties and a glimpse of a few of the many different contexts in which they appear.

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