Hussein Mourtada (Paris-Diderot) - Thursday, October 23 , 2025 - 4:00 PM IST (12:30 PM CEST)

Dear all,

We have a talk this week by  Hussein Mourtada of the Université de Paris (Campus Paris-Diderot). The title and abstract are below. 

Talk Announcement: 

Title: Integer partitions, (hyper)graphs and monomial ideals

Speaker: Hussein Mourtada (Université de Paris (Campus Paris-Diderot))

When: October 23, 2025, 4:00 PM- 5:00 PM IST (12:30 PM CEST)

Where: Zoom: Please ask the organisers for a link

Live Link: https://youtube.com/live/iSTlKqaEC44?feature=share

Abstract:

We will present new partition identities that are, in a certain sense, dual to Gordon’s identities. These results arise from a correspondence between three classes of objects: a new family of partitions (called neighborly partitions), monomial ideals, and certain infinite (hyper)graphs. This talk is based on joint works, one with Zahraa Mohsen and another with Pooneh Afsharijoo.

Gaurav Bhatnagar, Atul Dixit, and Krishnan Rajkumar,

Special Functions and Number Theory Seminar

SF and NT Playlist

Ramanujan Explained Playlist

Jehanne Dousse (Geneva) - Thursday, October 16 , 2025 - 4:00 PM (IST)

 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. 

Talk Announcement: 

Title: Andrews-Gordon-Bressoud type identities and particle motion

Speaker: Jehanne Dousse  (University of Geneva)

When: October 16, 2025, 4:00 PM- 5:00 PM IST (12:30 PM CEST)

Where: Zoom: 

Live Link: https://youtube.com/live/AqUobI1aa30?feature=share

Abstract:

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.

Gaurav Bhatnagar, Atul Dixit, and Krishnan Rajkumar,

Special Functions and Number Theory Seminar

SF and NT Playlist

Ramanujan Explained Playlist