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Period Polynomial Relations among Double Zeta Values and Various Generalizations

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 27, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Ding Ma (Duke University)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Galois theory

  • Galois orbits

  • Periods

  • motivic geometry

  • algebraic geometry

  • Riemann zeta function

  • multiple zeta values

  • motivic zeta values

  • Zagier formula for double zeta values

  • modular forms

  • irregular primes

  • Bernoulli numbers

  • weights of modular forms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

4-Ma
Abstract

In this talk, I will introduce the famous result by Gangl-Kaneko-Zagier about a family of period polynomial relations among double zeta value of even weight. Then I will generalize their result in various ways, from which we can see the appearance of periods of newforms in low levels. At the end, I will give a generalization of the Eichler-Shimura-Manin correspondence to the case of the space of newforms of level 2 and 3 and a certain period polynomial space
Supplements
28369?type=thumb Ma.Notes 355 KB application/pdf Download
Video/Audio Files

4-Ma

H.264 Video 4-Ma.mp4 147 MB video/mp4 rtsp://videos.msri.org/4-Ma/4-Ma.mp4 Download
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