Period Polynomial Relations among Double Zeta Values and Various Generalizations
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
Location: MSRI: Simons Auditorium
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
11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}
11E45 - Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
14F42 - Motivic cohomology; motivic homotopy theory [See also 19E15]
11M32 - Multiple Dirichlet series and zeta functions and multizeta values
4-Ma
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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