Presented By: Student Combinatorics Seminar - Department of Mathematics
Student Combinatorics: An introduction to the m=1 amplituhedron
Amanda Schwartz
Given a real (k+m) by n matrix Z, there is an induced map from the TNN (k,n)-Grassmannian to the (k,k+m)-Grassmannian. The image of this map is called the amplituhedron A_{n,k,m}(Z). We will discuss some properties of this object when m=1. In particular, we will see how to view the m=1 amplituhedron as a subcomplex of the TNN (k,n)-Grassmannian and also as a complex of bounded faces of a hyperplane arrangement.
Reference: https://arxiv.org/abs/1608.08288
Reference: https://arxiv.org/abs/1608.08288
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