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Symplectic resolutions of Higgs Bundles

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  • UserAndrea Tirelli (Imperial) Speaker website
  • ClockFriday 11 November 2016, 15:00-16:00
  • HouseMR13.

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Symplectic resolutions have been defined by A. Okounkov as the โ€œLie algebras of the 21หขแต— centuryโ€. 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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