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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Moduli spaces and elliptic difference equations

## Moduli spaces and elliptic difference equationsAdd to your list(s) Download to your calendar using vCal - Rains, EM (CALTECH)
- Wednesday 01 July 2009, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems Sakai’s elliptic Painlev equation is constructed via the geometry of certain rational algebraic surfaces. I’ll discuss joint work with Arinkin and Borodin in which we interpret Sakai’s surfaces as moduli spaces of second-order linear elliptic difference equations (and related objects), such that the elliptic Painlev equation itself acts via isomonodromy transformations. The construction also lends itself to higher-order problems, and/or problems with more complicated singularity structure; I’ll discuss what is known about the corresponding higher-dimensional moduli spaces. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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