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.
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