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Title: A tale of an R-matrix

Abstract: Elliptic quantum groups are mysterious objects that, on the one hand, quantize certain algebro-geometric structures related to elliptic curves, on the other hand, generalize familiar representation-theoretic constructions. In this talk, we will consider a particular example of such interplay centered around the so-called Belavin鈥檚 R-matrix, a quantum avatar of an essentially unique stable vector bundle of degree one and rank n (or of its Fourier-Mukai dual line bundle of degree n) whose rational limit can be obtained via a version of the fusion construction of Etingof-Varchenko for Whittaker聽vectors.聽

Location: in person at UQAM PK-5675 (Zoom available upon request)