The Friedlander-Milnor Conjecture

SPECIAL TALK ON A^1-HOMOTOPY THEORY AND ITS RECENT DEVELOPMENTS
Topic:The Friedlander-Milnor Conjecture
Speaker:Fabien Morel
Affiliation:University of Munich and Member, School of Mathematics
Date:Tuesday, February 23
Time/Room:2:00pm - 3:00pm/S-101

In this talk I will recall the statement of the Friedlander conjecture on the cohomology of a reductive group G and give a short recollection on known results. I will present a new approach which relies on the study of the A^1 homotopy type of the classifying space of the Suslin-Voevodsky construction on the group G. This approach allows us to prove the first complete cases of semi-simple groups: mainly SL_2 and SL_3. We will explain the basic strategy of the proof of this result and how to potentially extend it to a complete proof of the conjecture.