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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: Moduli space of Riemann surfaces -- a homotopy approach

Presented by "Ulrike Tillmann (University of Oxford, Oxford)",

4 December 2000 16:00 in CM221

"Despite their classical origin, the topology of the Riemann moduli space (and equivalently of the diffeomorphism group of surfaces) is still badly understood. The global study of its cohomology was initiated by Mumford in the early eighties. Twenty years later his conjecture on the rational cohomology is still unproved. The moduli space of Riemann surfaces has been studied with tools from complex analysis, algebraic geometry, and exploiting its close relation to the mapping class group from algebra. The main theme of the talk is to add yet another approach using the tools of (stable) homotopy theory."

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