Symplectic resolutions of Higgs Bundles

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• Andrea Tirelli (Imperial)
• Friday 11 November 2016, 15:00-16:00
• MR13.

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Symplectic resolutions have been defined by A. Okounkov as the “Lie algebras of the 21ˢᵗ century”. Indeed, their study uses methods from geometry, algebra and representation theory. In the first part of the talk I will give the definition of a symplectic resolution, mention some properties and describe some examples, such as the Springer resolution and Nakajima Quiver varieties. In the second part of the talk I will describe how a recent result of Schedler and Bellamy concerning symplectic resolutions of character varieties can be used to obtain a nice result about the existence of symplectic resolution in the case of the moduli space of Higgs bundles on a smooth projective curve.

This talk is part of the Junior Geometry Seminar series.

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