Maryam Khaqan: Rademacher sums and Moonshine

Abstract:

Rademacher sums are a natural and valuable tool to construct spaces of modular and mock-modular forms explicitly. Their importance goes beyond just a computational tool, however. In several known examples of moonshine, the defining properties of the functions that show up as graded traces of the modules can be translated to the language of Rademacher sums. I will discuss this connection and use my recent work on Thompson moonshine as a specific example of this phenomenon.

Note: The passcode was sent to the AG and NT mailing lists. If you're not on these lists and would like to attend, or are having trouble accessing the meeting, please email Wushi Goldring at wgoldring@math.su.se . To be added to the AG mailing list, please email Jonas Bergström at jonasb@math.su.se .