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A residual Riemann-Roch formula

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Frederic Deglise (Lyon)

  • SFB-Kolloquium
When May 31, 2012
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract:  The Riemann-Roch theorem, and especially the formulation of Grothendieck, has long been interpreted in algebraic topology within the framework of oriented cohomology theories. I will explain how to use the homotopy theory of Morel and Voevodsky to get this kind of interpretation of the Riemann-Roch theorem formulated for arithmetic schemes. This work yields as a surprise a second Riemann-Roch formula which concerns residues rather than Gysin morphisms.