After a refreshing break in a summer with many opportunities to meet in person, we are back with a talk by Professor Ole Warnaar of the University of Queensland, Australia.
Talk Announcement:
Title: Cylindric partitions and Rogers--Ramanujan identities
Speaker: S. Ole Warnaar (University of Queensland, Australia)
When: Thursday, September 8, 2022 - 4:00 PM - 5:00 PM (IST)
Where: Zoom. Please ask the organisers for a link
Live Link: https://youtu.be/DhCLiz27VZs
Tea or Coffee: Please bring your own.
Abstract:
Cylindric partitions, first introduced by Gessel and
Krattenthaler in 1997, are an affine (or toroidal) analogue of
ordinary plane partitions. Perhaps somewhat surprisingly, cylindric
partitions have a close connection to Rogers--Ramanujan-type $q$-series
identities. In this talk I will try to explain this connection, and report
on some new Rogers--Ramanujan identities for the affine Lie algebra
$\mathrm{A}_2^{(1)}$ that follow naturally from this connection.
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