Dear all,
The talk next week is by Jehanne Dousse of the University of Geneva. The title and abstract are below.
There was a snafu in the previous talk organisation. Some announcements/reminders were inadvertently not sent. The video of the talk by Ritwik Pal (IIIT, Delhi) has been uploaded on sfandnt website.
Title: Andrews-Gordon-Bressoud type identities and particle motion
When: October 16, 2025, 4:00 PM- 5:00 PM IST (12:30 PM CEST)
The Andrews-Gordon identities are among the most important q-series and partition identities, and generalise the famous Rogers-Ramanujan identities. Interestingly, while the product side of these identities clearly corresponds to partitions with congruence conditions, it is not obvious that the sum side of the q-series version is the generating function for the partitions with frequency conditions that appear in the combinatorial version. It was originally proved by George Andrews using recurrences, and then bijectively by Ole Warnaar using particle motion.
In this talk, we will explain and generalise the particle motion approach. We will show that the generalised version can be applied to the sum side of Bressoud's identity and that, using the Andrews-Gordon and Bressoud identities as starting points, it can prove many known and new identities.
This is based on joint work with Jihyeug Jang, Frédéric Jouhet and Isaac Konan.
