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Elliptic analogues of cyclotomic multiple zeta values

Posted in
Nils Matthes
University of Oxford
Wed, 2019-02-06 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We will report on ongoing joint work with Martin Gonzalez (MPIM) about analogues of cyclotomic multiple zeta values for complex elliptic curves with level structure. These are holomorphic functions on the upper half plane which degenerate to cyclotomic multiple zeta values at cusps. One of the motivations for their study is the existence of several modular phenomena for cyclotomic multiple zeta values. For example, in the simplest case when the level structure is trivial, these elliptic analogues give a new perspective on relations between double zeta values coming from period polynomials of modular forms which were originally found by Gangl--Kaneko--Zagier.

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