Skip to main content

The Pangloss-Hirzebruch-Riemann-Roch theorem, II

Posted in
Speaker: 
Domenico Fiorenza
Affiliation: 
Università degli studi di Roma
Date: 
Mon, 11/11/2019 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

The category of spectra indubitably is the best of possible worlds for cohomology theories. For instance in spectra one can start with a few basic morphisms, be confident that every natural diagram built from them will commute, and end up with a proof of the Hirzebruch-Riemann-Roch theorem. As in every good story we'll have a deus ex machina: Atiyah's identification of the Spanier-Whitehead dual of a manifold with the Thom spectrum of minus its tangent bundle. Based on joint work with Mattia Coloma and Eugenio Landi.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A