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discrete CATS seminar

Date:
Location:
Zoom
Speaker(s) / Presenter(s):
John Machacek (Hampden-Sydney College)

Title: Shelling the m=1 amplituhedron

 

Abstract: The amplituhedron is a topological space related to the totally nonnegative Grassmannian that was inspired by high energy physics. In this talk we will apply combinatorics and poset topology to analyze a special case known as the m=1 amplituhedron. There is a poset of sign vectors which is the closure poset of the m=1 amplituhedron, and we show this poset has an EL shelling. This implies the m=1 amplituhedron is a ball. We also show this poset is strongly Sperner.

 

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