Dear all,
Our talk this week is by Jeremy Lovejoy of CNRS. Here is the announcement.
Talk Announcement:
Title: Bailey pairs, radial limits of q-hypergeometric false theta functions, and a conjecture of Hikami
Title: Bailey pairs, radial limits of q-hypergeometric false theta functions, and a conjecture of Hikami
Speaker: Jeremy Lovejoy (CNRS, Paris)
When: Nov 21, 2024, 4:00 PM- 5:00 PM IST (11:30 AM CET)
Where: Zoom: Please write to the organisers
Live LInk: https://youtube.com/live/PCvF5pykt9c?feature=share
Abstract: In the first part of this talk we describe a conjecture of Hikami on the values of the radial limits of a family of q-hypergeometric false theta functions. Hikami conjectured that the radial limits are obtained by evaluating a truncated version of the series. He proved a special case of his conjecture by computing the Kashaev invariant of certain torus links in two different ways. We show how to prove the full conjecture using Bailey pairs. In the second part ofthe talk we explain how the framework of Bailey pairs leads to further results of this type. The talkis based on joint work with Rishabh Sarma.
Best wishes,
Gaurav Bhatnagar, Atul Dixit and Krishnan Rajkumar (organisers)
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