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Multiple Zeta Values

Presented by: 
H Gangl Durham University
Date: 
Tuesday 8th January 2013 - 15:30 to 16:30
Venue: 
INI Seminar Room 2
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons