Algebraic Geometry Seminar - Johannes Hofscheier

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Algebraic Geometry Seminar
March 20, 2018
3:00PM - 4:00PM
Location
Math Tower 154

Date Range
Add to Calendar 2018-03-20 15:00:00 2018-03-20 16:00:00 Algebraic Geometry Seminar - Johannes Hofscheier Title: Spanning Lattice Polytopes and the Uniform Position Speaker: Johannes Hofscheier (McMaster) Abstract: A lattice polytope is called spanning if its lattice points affinely span the ambient lattice. In this talk, I will present recent joint work with Lukas Katthan and Benjamin Nill, where we generalize Harris' Uniform Position Principle to obtain new inequalities for the h*-vector of spanning lattice polytopes. This extends Hibi's inequality for polytopes with interior lattice points, as well as certain inequalities due to Stanley. Seminar URL: https://research.math.osu.edu/agseminar/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public
Description

Title: Spanning Lattice Polytopes and the Uniform Position

Speaker: Johannes Hofscheier (McMaster)

Abstract: A lattice polytope is called spanning if its lattice points affinely span the ambient lattice. In this talk, I will present recent joint work with Lukas Katthan and Benjamin Nill, where we generalize Harris' Uniform Position Principle to obtain new inequalities for the h*-vector of spanning lattice polytopes. This extends Hibi's inequality for polytopes with interior lattice points, as well as certain inequalities due to Stanley.

Seminar URL: https://research.math.osu.edu/agseminar/

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