Institute of Mathematics for Industry


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On the rational homotopy type of intersection spaces

Hold Date 2020-05-29 16:00~2020-05-29 17:00

Place Zoom Online Seminar

Object person  

Speaker Dominik J. Wrazidlo (Kyushu University)

Banagl's method of intersection spaces allows to modify certain singular spaces near the singular set in such a way that the rational Betti numbers of the modified spaces satisfy generalized Poincaré duality in analogy with Goresky-MacPherson's intersection homology theory. In this talk, we explain a new perspective on the topic by using tools of rational homotopy theory. Our approach includes a uniqueness result for commutative models, and the construction of a non-degenerate intersection pairing.

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