Ruprecht-Karls-Universität Heidelberg
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„Fundamental Classes for Intersection Spaces “
Dr. Timo Essig, Hokkaido University

Intersection spaces are assigned to certain singular spaces to restore Poincaré duality. For isolated singularities and some other depth one pseudomanifolds, the Betti numbers of the intersection spaces of dual perversities in dual degrees coincide. This statement can be refined by gluing cells to the intersection spaces, completing them to rational Poincaré duality spaces. In this talk, I review the definition of intersection spaces and the gluing procedure for smoothly stratified Witt spaces of depth one and I outline the generalization of the techniques to greater stratification depth. The talk is based on joint work with D. Wrazidlo from Kyushu University.

Montag, den 3. Juni 2019 um 16.00 s.t. Uhr, in Mathematikon (4. OG) , SR 6 Montag, den 3. Juni 2019 at 16.00 s.t., in Mathematikon (4. OG) , SR 6

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. M. Banagl