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- Positive geometries and the amplituhedron

Positive geometries are real semialgebraic spaces that are

equipped with a meromorphic ``canonical form" whose residues reflect

the boundary structure of the space. Familiar examples include

polytopes and the positive parts of toric varieties. A central, but

conjectural, example is the amplituhedron of Arkani-Hamed and Trnka.

In this case, the canonical form should essentially be the tree

amplitude of N=4 super Yang-Mills.

I will talk about the definition and examples of positive geometries,

and discuss what is known about the geometry and combinatorics of the

amplituhedron. The talk will be based on various joint works with

Arkani-Hamed, Bai, Galashin, and Karp.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Monday, October 22, 2018 - 11:00 to 12:30

Location:

Sky Room

Room #:

394

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