Number Theory Seminar
Wednesday, September 28, 2016, 1:30pm, 119 Physics
Ding Ma (Duke University)
Multiple Zeta Values and Modular Forms in Low Levels

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 modular forms 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. [video]

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