Speaker: Miranda C. N. Cheng (University of Amsterdam)
Title: Mock Modular Forms and Applications
Time: 2020-11-12 (Thu.)  15:30 - 16:30
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: Modular forms are ubiquitous in mathematics and also play a significant role in theoretical physics. Mock modular forms arise from a more flexible notion of modularity. What exactly this notion should be has puzzled mathematicians for a long time, since in 1920 Ramanujan wrote down 17 functions that he called "mock theta functions" without giving any further explanation. Now, not even two decades since the modern definition was discovered, mock modular forms have already found a wide range of applications in various fields in mathematics and theoretical physics. After briefly introducing their properties, I will explain how mock modular forms appear in recent research in various areas including finite group representations (moonshine) and three-dimensional topology.
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