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Hochschild homology and Riemann-Roch theorem for matrix factorizations

Le : 26/03/2010 14h00
Par : Arkady VAINTROB (IHES et University of Oregon)
Lieu :
Lien web :
Résumé : Using Eisenbud's category of matrix factorizations, isolated hypersurface singularities can be viewed as smooth non-commutative spaces. In this picture the Milnor ring of the singularity plays the role of the de Rham cohomology of the space (interpreted as the Hochschild homology of the category of matrix factorizations). We will also describe the Chern character map and an analog of the Hirzebruch-Riemann-Roch formula for the Euler characteristic of Hom-space between a pair of matrix factorizations. The talk is based on a joint work with Alexander Polishchuk.