Rogers-Ramanujan type identities for alternating knots

SpeakerAdam 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