Algebra Seminar: Burke -- Invariants of modular representations of a finite group

Jesse Burke (ANU) 

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

Title: Invariants of modular representations of a finite group 

Abstract: 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.