Open Problems about Convex Polytopes
Gil Kalai, Reichman University, Hebrew University of Jerusalem, and
NYU
Date and time: 2pm (New York time), Tuesday, October 19, 2021
Place: See below
Convex polytopes have attracted human attention since ancient
times. Euler's formula, $V-E+F=2$, for the numbers of vertices $V$,
edges $E$,
and faces $F$ of a 3-dimensional polytope, is among the most important
landmarks of mathematics, and it is a starting point for a rich theory
of face numbers of polytopes in high dimensions. Another important
landmark is Cauchy's rigidity theorem. In the lecture I will present
nine fascinating open problems about polytopes and through them
mention some combinatorial results about polytopes and connections
with other areas.
We are trying an experiment:
- We will meet for an informal discussion in front of Warren Weaver
Hall (231 Mercer Street) on the Mercer Street side, around noon.
Bring your own food and drink.
- The Zoom talk will start at 2pm as usual. The speaker and others who attend
in person will head to Baruch College; the talk will take place in
room 6-215 (6th floor). All are welcome to join. You just need to be fully
vaccinated and fill this out in advance:
https://app.cleared4.org/self-registration
- Zoom link will as usual be distributed to the seminar email list.