School of Mathematics Colloquium
Representing hermitian K-theory by orthogonal Grassmannian in A^1-homotopy theory
by Dr. Girja Shanker Tripathi (TIFR)
Thursday, September 15, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Description |
In this talk I will explain a joint work with Marco Schlichting on geometric representability of hermitian $K$-theory in the homotopy theory of schemes. After recalling some basic notions from the homotopy theory of schemes developed by Morel and Voevodsky, I will define an ind-scheme $GrO$, the orthogonal Grassmannian, and construct a map from $GrO$ into hermitian $K$-theory $KO$. I will sketch a proof that this map is a homotopy equivalence and discuss some applications of the result. |