Abstract: I will give an introduction to the construction of equivariant elliptic cohomology and then talk about some recent geometric approaches to the subject. SPECIAL SEMINAR AT SPECIAL LOCATION: MSRI

ABSTRACT: For a closed surface of genus 1 and 2 the q-skein algebra (of type A1) admits a description in terms of 1 resp. 3 commuting difference operators acting on commutative polynomials in 1 resp. 3 variables. This endows it with a stucture of a completely integrable quantum mechanical system. We argue that in higher genus analogous description exists, involving … Read More