Combinatorics Seminar: The Kontsevich-Zagier series and its generalizations

Seminar | April 23 | 12-1 p.m. | 939 Evans Hall | Note change in time

 Jeremy Lovejoy, Universite Denis Diderot - Paris 7

 Department of Mathematics

Despite the fact that it converges on no open subset of the complex plane, the Kontsevich-Zagier series has a number of interesting combinatorial, number-theoretic, and topological properties. I will discuss some of these properties, such as quantum modularity, Ramanujan-type congruences, q-identities, and a relation to the colored Jones polynomial of the trefoil knot, along with a program to extend them to the so-called generalized Kontsevich-Zagier series.