Programm des Emmy-Noether-Seminars

Fri, 09.12.2016, 14:30

Fri, 09.12.2016, 15:30
On the tree and the homology of SL_2 on polynomial rings

Speaker: Prof. Dr. Fabien Morel (LMU München)
Host: Knop
Room: 04.363

In this talk I will give some new results on the mod \ell homology of the group SL_2(A) when A is a polynomial ring in n variables with coefficients in a field of characteristic not \ell. The method emphasizes a new interpretation of the tree of SL_2 over the fraction field K of A and its discrete valuation at infinity in terms of reflexive sheaves of rank 2 on P^n .

If time allows I will briefly explains how this point of view connects to the proof of weak homotopy invariance of mod \ell homology of SL_2 needed in the proof of Friedlander-Milnor conjecture.