Events: detail
London topology and geometry seminar: Counting curves, not points
- Hosted by:
- Imperial College London
- Speaker:
-
Richard Thomas, Imperial College London
- Starts:
- April 20, 2007 at 02:30 pm
- Ends:
- April 20, 2007 at 03:30 pm
- Location:
- Imperial College London, Huxley Building, Room 503, 180 Queen's Gate, London, SW7 2AZ United Kingdom
- Maps:
Description
There are many ways to count holomorphic curves in complex manifolds. The famous MNOP conjecture relates 2 of them — Gromov-Witten theory, which counts maps to the manifold (or parametrised curves), and sheaf theory, which counts embedded one-dimensional subschemes (or unparametrised curves). I will review this, and describe one slightly unpleasant aspect in the sheaf theory which means we have to count zero dimensional subschemes (points!) too. Finally I will describe a third way to count curves which resolves this unpleasantness. This is joint work with Rahul Pandharipande.
- Registration required:
- No
- Free:
- Yes
