Let G be a connected semisimple Lie group. There are two natural duality constructions that
assign to G: its Langlands dual group G^ ∨ G∨, and its Poisson–Lie dual group G^* G∗ …

We prove that the Gromov width of any Bott-Samelson variety associated to a reduced
expression and equipped with a rational Kähler form equals the symplectic area of a …

This paper describes two real analytic symplectomorphisms defined on appropriate dense
open subsets of any coadjoint orbit of a compact semisimple Lie algebra. The first …

In this thesis, we study Poisson geometry and representation theory by using the approach
of geometrization and tropicalization. The goal is to find relations between some new …

The main contribution of this manuscript is a local normal form for Hamiltonian actions of
Poisson–Lie groups K on a symplectic manifold equipped with an A N-valued moment map …