Program
1640 - 1720, December 27, 2017 (Wednesday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Quantum Modular Forms and Hecke Operators
Seewoo Lee ( Pohang University of Science and Technology )

Abstract

It is known that there is an one-to-one correspondence among the space of cusp forms, the space of homogeneous period polynomials and the space of Dedekind symbols with polynomial reciprocity laws. We add one more space, the space of quantum modular forms with polynomial period functions, to extend re-sults from Fukuhara. Also, we consider Hecke operators on the space of quantum modular forms and construct a new quantum modular form.