Rogers-Ramanujan type identities for alternating knots
Speaker: Adam Keilthy (TCD)
Time: 4.00PM
Date: Monday September 29th 2014
Location: UCD School of Mathematical Sciences Seminar Room, Ag. 1.01
Abstract:
Two of the most important results in the theory of q-series and partitions are the classical Rogers-Ramanujan identities. There has been interest in the appearance of these and similar identities in various other contexts. In this talk, we highlight the role of q-series techniques in proving identities arising from knot theory. In particular, we prove Rogers-Ramanujan type identities for alternating knots as conjectured by Garoufalidis, Le and Zagier. This is joint work with Robert Osburn (UCD).
Series: UCD Algebra and Number Theory
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