## University of Sydney Algebra Seminar

# Robert Bédard (UQAM)

## Friday 2 March, 12:05-12:55pm, Carslaw 157

### Tight objects in Lie theory

G.Lusztig constructed a basis of the negative part of a quantized enveloping algebra. This canonical basis has nice properties. Tight monomials are the simplest elements of this basis. I will first describe the notion of tight monomials in the context of quantized enveloping algebras. Then there is a similar situation in the context of perverse sheaves arising from graded Lie algebras that could be seen as a generalization. This will also be considered in the talk.