Counting functions and Mock (Quantum) Modular Forms
Abstract
In his death bed letter to Hardy, Ramanujan introduced mock theta functions, which are now prototypes of mock modular forms. The coefficients of mock modular forms encode the number of certain combinatorial objects and we will discuss how mock modularity works to investigate arithmetic properties for these counting functions. On the other hand, generating functions for certain unimodal sequences are now becoming prototypes of quantum modular forms. We will discuss how they are related and what we expect from quantum modularity.
Daytime
2015-05-07
(Thu) / 16:30 ~ 17:30
Place
자연과학동(E6) Room 1501
Language
To be announced
Speaker`s name
Byungchan Kim
Speakers`s Affiliation
Seoul National University of Science and Technolog