Fibration de Hitchin et endoscopie

By B. Ngô. 2006

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Topology of Hitchin systems and Hodge theory of character varieties (2010, methodology): “The determination of the perverse filtration on H∗ var(M̌) using the symmetry provided by the group scheme Prym is inspired by Ngô’s approach in [44], [45].”
Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties (2015, unknown): “Then g preserves the eigenspaces of y So for each i = 1 , . . . n , there is a unique character t is easily seen to give an isomorphism.”
Torus knots and the rational DAHA (2012, methodology): “…is often denotedM par X,G.) As in the case of moduli spaces from the previous section, the moduli stack from above come equipped with the natural maph to the Hitchin baseAX,G Whendeg(L) ≥ 2gX the restriction of the moduli stackMX,G andM̃X,G onA♥ is a smooth Deligne-Mumford stack [Ngo06, Yun11].”
Geometric representations of graded and rational Cherednik algebras (2014, background): “t (a;0). This is also the maximal direct summand of H Gm() (M a) on which X (T) acts unipotently. For the Hitchin moduli stack without Iwahori level structures, the stable part is rst dened by Ng^o [29] as the geometric incarnation of stable orbital integrals, hence the namesake. Ng^o’s original den”