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The Pangloss-Hirzebruch-Riemann-Roch theorem, I

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Domenico Fiorenza
Università degli studi di Roma
Mon, 2019-11-11 15:00 - 16:00
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.

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