Seminar Event Detail


Date:  Friday, January 12, 2018
Location:  4088 East Hall (4:10 PM to 5:00 PM)

Title:  A lower bound theorem for centrally symmetric simplicial polytopes

Abstract:   An important invariant in the study of face numbers of simplicial d-polytopes is the g-vector. The generalized lower bound theorem states that g_i is nonnegative for any simplicial polytope and characterizes the case of equality. Much less is known for centrally symmetric polytopes. A seminal work is established by Stanley thirty years ago, where he proved that for any centrally symmetric simplicial d-polytope P with d at least 3 and i between 1 and d/2, we have g_i(P) geq inom{d}{i}-inom{d}{i-1}.

In this talk, I will introduce the rigidity theory of frameworks, and show how to apply this machinery to give a characterization of centrally symmetric d-polytopes with which satisfy g_2=inom{d}{2}-d. This is joint work with Steve Klee, Eran Nevo and Isabella Novik.


Speaker:  Hailun Zheng
Institution:  U. Michigan

Event Organizer:     


Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact

Back to previous page
Back to UM Math seminars/events page.