Home /  GTC Main Seminar: Spanning lattice polytopes and the Uniform position principle

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: SLMath: Eisenbud Auditorium
Speaker(s) Lukas Katthän (University of Minnesota)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
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.

No Notes/Supplements Uploaded No Video Files Uploaded