Morava E-theory of finite general linear groups.

Neil Strickland (Sheffield)

Monday 6th November, 2017 16:00-17:00 Maths 311B


Let F be a finite field, and consider the group G=GL_n(F) and its classifying space BG.
The cohomology H*(BG; Z/p) was computed by Quillen, provided that p is
a prime different from the characteristic of F.  In chromatic homotopy theory there is also
a rich body of results about other cohomological invariants of classifying spaces of finite
groups, such as Morava E-theory, and this has a network of connections with the
algebraic geometry of formal groups.  It is natural to try to apply this to the case G=GL_n(F).
An old result of Tanabe gives a description of this ring that is very elegant, but hard to 
make explicit and hard to connect with other aspects of the theory.  I will describe a new
approach that gives much more detailed information.
This is joint work with Sam Marsh and Sam Hutchinson.

Add to your calendar

Download event information as iCalendar file (only this event)