Unimodal Sequences and Mixed Modularity
Speaker:
Kevin Allen (University College Dublin)
Date and Time:
Thursday, June 13, 2024 - 3:55pm to 4:20pm
Location:
Fields Institute, Room 230
Abstract:
The study of strongly unimodal sequences has recently at- tracted interest with connections to knot theory and mixed mock modular- ity. In this talk, we discuss two-parameter generalizations of Hecke-Appell type expansions for the generating functions of unimodal and special uni- modal sequences due to Kim and Lovejoy and Bringmann and Lovejoy. In particular, we present their explicit representations as mixed false (or mixed mock) modular forms. This is joint work with Robert Osburn (UCD).