seminar by Bram Mesland - Friday 4 May, 11:00 ,in SISSA, room 134

[Lorena Bencina]

----------------------------------
Bram Mesland (Universität Bonn)

"KK-theory in geometry and physics"

Kasparov's KK-theory is a bivariant homology theory
for C*-algebras providing a general framework for index theory.
Cycles for the theory come from the abstract analogue
of a first-order differential operator.
After an exposition of the theory for non-specialists,
I will discuss some recent results.
These include analytic properties of self-adjoint operators,
applications of KK-theory in the theory of arithmetic manifolds
and automorphic forms and the physics of topological insulators.

Friday 4 May, 11:00
SISSA, room 134