SMS scnews item created by Kevin Coulembier at Tue 23 Apr 2019 0826
Type: Seminar
Distribution: World
Expiry: 4 Jun 2019
Calendar1: 3 May 2019 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: he KO valued spectral flow for skewadjoint Fredholm operators
Auth: kevinc@pkevinc.pc (assumed)

# Algebra Seminar: Lesch -- The KO valued spectral flow for skewadjoint Fredholm operators

Matthias Lesch (University of Bonn)

Friday 3 May, 12-1pm, Place: Carslaw 375

Title: The KO valued spectral flow for skewadjoint Fredholm operators

Abstract: Roughly speaking the spectral flow of a path of selfadjoint Fredholm
operators counts the net number of eigenvalues crossing 0. It is
an interesting homotopy invariant, which e.g. is intimately related
to the classifying spaces for the K-functor. According to Atiyah-Singers
celebrated note on index theory for skew adjoint Fredholm operators
the natural home for Fredholm indices is the space KO(point).
In my talk I will review this story and develop a theory of a KO valued
spectral flow. This is an ongoing project jointly with Bourne, Carey, and Rennie.