Differential Geometry Working Seminar

Francisco Villacis, University of Waterloo

Convexity of Toric Moment Maps

Toric moment maps are arguably the nicest family of moment maps in symplectic geometry. A classical theorem from the 80s state that the images of these moment maps are convex polytopes, which was proven independently by Atiyah, and Guillemin and Sternberg. In this talk I will go through Atiyah's slick proof of the convexity theorem using Morse theory, and if time permits I will talk about other results in this area.

MC 5479