Albion College
Mathematics and Computer Science
A cohomological approach to Serre's Minkowski-style bounds
Giovanni Di Matteo (`06)

Ecole Normale Superieure de Lyon (forthcoming)

In recent years, Serre has adapted a classical theorem of Minkowski to give bounds for the ℓ-valuation of |G(k)|, where G is a reductive group or semi-simple of inner type. It was observed by Serre that these bounds may be recovered from ℓ-adic cohomology. We illuminate the cohomological approach in the case of G = GLn.
All are welcome!
Palenske 227
August 27, 2009