Thursday, July 2, 2020

Hjalmar Rosengren (Chalmers University of Technology and University of Gothenburg)

The next talk in the Topics in Special Functions and Number Theory seminar is by Hjalmar Rosengren on the Kanade-Russel identities. Please note that the talk will be one hour earlier than usual.

This talk will again be on zoom. In case you wish to try out the software before the talk, please get in touch with one of the organizers. 

Title: On the Kanade-Russell identities

Speaker: Hjalmar Rosengren, Chalmers University of Technology and University of Gothenburg, Sweden 

When: Thursday, July 2, 2020: 2:55-4:00 pm

Where: On Zoom: Link (available on request). Please send email to a few hours before the talk. 

Tea or Coffee: Please bring your own. 

Kanade and Russell conjectured several Rogers-Ramanujan-type identities for triple series. Some of these conjectures are related to characters of affine Lie algebras, and they can all be interpreted combinatorially in terms of partitions. Many of these conjectures were settled by Bringmann, Jennings-Shaffer and Mahlburg. We describe a new approach to the Kanade-Russell identities, which leads to new proofs of five previously known identities, as well as four identities that were still open. For the new cases, we need quadratic transformations for q-orthogonal polynomials.

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