Topological K-theory of Z / 2-graded algebras

Specialeforsvar:  Ander Chocarro Salaberria

Titel: Topological K-theory of Z / 2-graded algebras

Abstract:  The goal of the project is to construct a spectral-level, lax symmetric monoidal topological K-theory functor defined for Z=2-graded algebras, which on homotopy groups implements the Atiyah-Bott-Shapiro isomorphism construction. To achieve this, we will need to combine the theory of Clifford algebras, some basic foundations about 1-operads and the (1-categorical enhancement of) KK-theory developed by Kasparov. The development of the latter two will often rely on deep results about 1-categories due to Lurie (see [16]).

Vejleder:   Shachar Carmeli
Censor:     Toke Meier Carlsen, Færøernes Universitet

Abstract: