University of Sydney Algebra Seminar

Sam Jeralds

Friday 31 October, 12-1pm, in SMRI Seminar Room (Macleay Building A12 Room 301)

Hochschild cohomology of flag varieties

Originating in the study of associative algebras, Hochschild cohomology of a projective variety captures a generalized deformation theory of the variety and has a rich underlying algebraic structure. For the case of flag varieties, this cohomology theory also carries an interesting representation structure for the corresponding group--although unlike other cohomology theories, very little is known at large. In this talk, we'll introduce some key features of Hochschild cohomology and its relationship to representation theory and a conjecture of Kostant.