Period Polynomial Relations among Double Zeta Values and Various Generalizations
Location: MSRI: Simons Auditorium
Riemann zeta function
multiple zeta values
motivic zeta values
Zagier formula for double zeta values
weights of modular forms
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
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