Ankush Goswami (IIT, Gandhinagar) - May 27, 2021 - 3:55 -5:00 PM (IST)

 

The next speaker in our series is Ankush Goswami of IIT, Gandhinagar. Until recently, Ankush was a post-doc in Linz (Austria).

Talk Announcement:

Title: Partial theta series with periodic coefficients and quantum modular forms

Speaker: Ankush Goswami (IIT, Gandhinagar)

 

When: May 27, 2021 - 3:55 PM - 5:00 PM (IST)

Where: Zoom (the link will be sent by email to our list)

 

Live link: https://youtu.be/W5av3JiovnI

Tea or Coffee: Please bring your own.

Abstract: Theta  series first appeared in Euler’s work on partitions, but was systematically studied later by Jacobi.  In his Lost Notebook, Ramanujan wrote down many identities (without proof) involving the so-called partial theta series. Unlike the theta series which are modular forms, the theory of partial theta series is not well understood. In this talk, I will consider a family of partial theta series and show their “quantum modular” behaviour. This is based on my recent joint work with Robert Osburn (UCD).

The talk should be accessible to graduate and advanced undergraduate students.