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Nilpotent Orbits and Representation Theory

The Springer correspondence for symmetric spaces and Hessenberg varieties

speaker: Ting Xue (University of Melbourne, School of Mathematics and Statistics)

abstract: We develop a Springer theory in the case of symmetric spaces using Fourier transform. We discuss applications in computing cohomology of Hessenberg varieties. Examples of such varieties include classical objects in algebraic geometry: Jacobians and moduli spaces of vector bundles on curves with extra structure, Fano varieties of k-planes in the intersection of two quadrics, etc. This is joint work with Tsao-hsien Chen and Kari Vilonen.


timetable:
Mon 13 Jun, 11:15 - 12:30, Aula Bianchi Scienze
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