Moment polytopes of desingularizations of Schubert and symmetric orbit closures

Abstract: Schubert varieties have a natural action by an algebraic torus from which one can construct their moment polytopes. This is also true for the Bott-Samelson varieties, which are desingularizations of Schubert varieties, and Barbasch-Evens-Magyar varieties, which are desingularizations of symmetric orbit closures in the flag manifold. In this talk we will discuss these polytopes.