Geometry, Combinatorics and Integrable Seminar - Steven Karp

March 21, 2019
Thursday, March 28, 2019 - 3:00pm to 4:00pm
Math Building 317
Geometry Combinatorics Integrable Systems Seminar

Title: Combinatorics of the amplituhedron

Speaker: Steven Karp (University of Michigan)

Abstract: The tree amplituhedron A(n,k,m) is a geometric object introduced by Arkani-Hamed and Trnka in 2013, in their study of scattering amplitudes in high-energy physics. I will introduce the amplituhedron and describe how it generalizes objects such as cyclic polytopes, cyclic hyperplane arrangements, and positive Grassmannians. I will discuss the problem of triangulating amplituhedra, which involves the combinatorics of Catalan objects and, conjecturally, plane partitions. This is joint work with Lauren Williams and Yan Zhang. I will also discuss recent work about the topology of amplituhedra and positive Grassmannians, which is joint with Pavel Galashin and Thomas Lam.

Seminar URLhttps://research.math.osu.edu/gcis/

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