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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: What invariants can be defined for singular spaces?

Presented by "Burt Totaro (University of Cambridge, Cambridge) ",

3 December 2001 16:00 in CM221

" The homology groups of a manifold satisfy Poincare duality, while the homology groups of a singular
algebraic variety usually don't. Strangely, one can define "intersection homology" groups of a singular
space which do look like the homology groups of a manifold; for example, they satisfy Poincare duality.
Why should this be possible?

This kind of question has a surprisingly neat relation with elliptic cohomology theory, which has been
a major part of the last 20 years in algebraic topology. "

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