November 7, Wednesday, 18:30, room 306

Alexei Piskunov

Newton-Okounkov polytopes of symplectic flag varieties

Abstract:
This is continuation of the previous talk, however, we remind all necessary definitions and results. We use chain of subgroups Sp(2n) > Sp(2n-2) > to define a valuation on the variety of isotropic flags. Using this valuation we interpret reduction multiplicities of representations of Sp(2n) in terms of lattice points inside a convex polytope.