The geometric Satake isomorphism of Lusztig, Ginzburg, Beilinson-Drinfeld, Mirkovic-Vilonen and Gaitsgory encodes the representation theory of reductive algebraic groups such as linear, orthogonal or symplectic groups in the geometry of a certain infinite dimensional variety called the affine Grassmannian. In joint work with Jakob Scholbach, we construct a motivic variant of this isomorphism using the triangulated category of motives with rational coefficients of Ayoub and Cisinski-Déglise. Under the l-adic étale realization one recovers the usual geometric Satake isomorphism. As a benefit the intersection motive of the moduli space of shtukas is unconditionally defined independent of the auxiliary prime number l. In my talk I will recall the statement of the l-adic geometric Satake isomorphism, and explain the construction of its motivic variant.
Freitag, den 26. Oktober 2018 um 13:30 Uhr, in INF205, SR A Freitag, den 26. Oktober 2018 at 13:30, in INF205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Katharina Hübner