Mathematical Colloquium

 

Friday, January 18, 2019, 2:30pm

Gromov Width and Representation Theory – A link via Toric Geometry

Ghislain Fourier (RWTH)

Abstract:
A symplectic variety comes along with a symplectic form and the Gromov width of such a variety is the size of the largest ball that can be embedded respecting this form. In this talk we will compute the Gromov width of a class of symplectic varieties.

Along the way, we will pass through representation theory of Lie algebras, standard monomial theory, canonical bases, Newton-Okounkov bodies, toric degenerations, to finally reduce this geometric question to a purely combinatorial problem of embedding a standard simplex into a convex polytope.

Location: Raum 008/SeMath, Pontdriesch 14-16, 52062 Aachen