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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Topology of moduli spaces of vector bundles on a real algebraic curve

## Topology of moduli spaces of vector bundles on a real algebraic curveAdd to your list(s) Download to your calendar using vCal - Schaffhauser, FMR (Los Andes)
- Tuesday 28 June 2011, 14:40-15:10
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Moduli Spaces Moduli spaces of real and quaternionic vector bundles on a curve can be expressed as Lagrangian quotients and embedded into the symplectic quotient corresponding to the moduli variety of holomorphic vector bundles of fixed rank and degree on a smooth complex projective curve. From the algebraic point of view, these Lagrangian quotients are irreducible sets of real points inside a complex moduli variety endowed with an anti-holomorphic involution. This presentation as a quotient enables us to generalise the equivariant methods of Atiyah and Bott to a setting with involutions, and compute the mod 2 Poincar series of these real algebraic varieties. This is joint work with Chiu-Chu Melissa Liu (Columbia). 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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