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Real-rooted h*-polynomials

Algebra & Discrete Mathematics

Speaker: Dr. Katharina Jochemko, KTH Stockholm
Location: 1147 Math Science Building
Start time: Mon, May 6 2019, 12:10PM

The Ehrhart polynomial counts the number of lattice points in integer dilates of a polytope. The h*-polynomial encodes the Ehrhart polynomial in a particular basis. In this talk we give an introduction to the method of interlacing polynomials which is a powerful tool to prove real-rootedness of a polynomial and present applications to h*-polynomials of various families of lattice polytopes.