Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Totally nonnegative Grassmannian and Grassmann polytopes   These are lecture notes intended to supplement my second lecture at the
Current Developments in Mathematics conference in 2014. In the first half of
article, we give an introduction to the totally nonnegative Grassmannian
together with a survey of some more recent work. In the second half of the
article, we give a definition of a Grassmann polytope motivated by work of
physicists on the amplituhedron. We propose to use Schubert calculus and
canonical bases to replace linear algebra and convexity in the theory of
polytopes.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin