Mathematics Colloquium: Alternating sign matrix polytopes, theme and variations

Speaker:  Jessica Striker, North Dakota State

Title:  Alternating sign matrix polytopes, theme and variations

Abstract:  Alternating sign matrices are {0, 1, −1}-matrices with deep connections to the symmetric group, enumerative combinatorics, algebraic geometry, and statistical physics. Their study from the geometric perspective of polytopes has been especially fruitful and includes many analogous properties to the classical Birkhoff polytope of doubly-stochastic matrices. In this talk, we’ll compare and contrast various properties of polytopes formed as convex hulls of alternating sign and related matrices, including their inequality descriptions, face lattices, and facet enumerations. This talk includes joint works with Dylan Heuer and Sara Solhjem.

Time:  Friday, March 25, 2022, 3:30pm – 4:20pm

Place:  Exploratory Hall, room 4106

In-person and on Zoom