## University of Sydney Algebra Seminar

# Jesse Burke (Australian National University)

## Friday 27 October, 12-1pm, Place: Carslaw 375

## Invariants of modular representations of a finite group

Modules of constant Jordan type were defined for an infinitesimal group scheme or elementary abelian p-group by Friedlander, Pevtsova, and Suslin. Each such module gives a family of vector bundles on the projectivization of the cohomology ring of the object being represented. These vector bundles are intricate invariants of the module and potentially shed light on the cohomology ring. They are constructed from a "universal pi-point". I’ll talk about work in progress with Eric Friedlander to construct a universal pi-point for an arbitrary finite group. A key step is realizing the universal pi-point of an elementary abelian p-group via Koszul duality.