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Tuesday 28 June 2011, 14:40-15:10
Topology of moduli spaces of vector bundles on a real algebraic curve
- đ¤ Speaker: Schaffhauser, FMR (Los Andes)
- đ Date & Time: Tuesday 28 June 2011, 14:40 - 15:10
- đ Venue: Seminar Room 1, Newton Institute
Abstract
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).
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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