# Paul Sobaje (University of Melbourne)

## Friday 31st August, 12:05-12:55pm, Carslaw 175

### Infinitesimal one-parameter subgroups and exponentiation

Let $$G$$ be a semisimple algebraic group over a field of characteristic $$p$$. In this talk, we will describe the varieties of infinitesimal one-parameter subgroups of $$G$$, and discuss their importance in representation theory. We will also consider a related question which deals with the existence of certain Springer isomorphisms between the nilpotent variety of $$\mathrm{Lie}(G)$$ and the unipotent variety of $$G$$.