Seminars & Colloquia Calendar
Stability for Kac-Moody Groups
Nitu Kitchloo, Johns Hopkins University
Location: Hill 705
Date & time: Friday, 05 April 2019 at 12:00PM - 1:00PM
- Abstract: In the class of Kac-Moody groups, one can extend all the exceptional families of compact Lie groups yielding infinite families (E_n, F_n, G_n), as well as other infinite families. These families often pass through the Affine or loop-groups of compact Lie groups. We will show that these exceptional families stabilize in a homotopical sense and that the (co)homology of their classifying spaces behave well (in a precise sense) for all but a finite set of primes that is determined by the family and not the individual groups in the family. I will also speculate on the underlying structure that might be present in these families.