Almost simplicial polytopes

Seminar
Speaker
Eran Nevo (Hebrew U)
Date
29/11/2015 - 15:30 - 14:00Add to Calendar 2015-11-29 14:00:00 2015-11-29 15:30:00 Almost simplicial polytopes We study $n$-vertex $d$-dimensional polytopes with at most one nonsimplex facet with, say, $d+s$ vertices, called almost simplicial polytopes.  We provide tight lower and upper bound theorems for these polytopes as functions of $d,n$ and $s$, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case $s=0$. We characterize the minimizers and provide examples of maximizers, for any $d$. Time permitting, I'll also discuss results on reconstruction problems for these and for related polytopes. This is joint work with Guillermo Pineda-Villavicencio, Julien Ugon, David Yost.   Building 216, Room 201 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Building 216, Room 201
Abstract
We study $n$-vertex $d$-dimensional polytopes with at most one nonsimplex facet with, say, $d+s$ vertices, called almost simplicial polytopes. 

We provide tight lower and upper bound theorems for these polytopes as functions of $d,n$ and $s$, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case $s=0$. We characterize the minimizers and provide examples of maximizers, for any $d$.

Time permitting, I'll also discuss results on reconstruction problems for these and for related polytopes.

This is joint work with Guillermo Pineda-Villavicencio, Julien Ugon, David Yost.

 

תאריך עדכון אחרון : 17/11/2015