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Seminar

GTC Main Seminar: Spanning lattice polytopes and the Uniform position principle November 28, 2017 (10:00 AM PST - 11:00 AM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Lukas Katthän (University of Minnesota)
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Abstract/Media

A lattice polytope is called spanning (or primitive) if its lattice points affinely span the ambient lattice. This property can be translated to a natural algebraic property of the Ehrhart ring of the polytope.

In this talk, I will present recent joint work with Johannes Hofscheier and Benjamin Nill, where we use methods from commutative algebra and algebraic geometry to obtain new inequalities for the h^*-vector.

This extends our previous work on the absence of inner zeros in the h^*-vector, as well as Hibi's inequality for polytopes with inner lattice points.

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