Colloquium: Tuesday, December 4, 2018. Speaker: Eran Nevo (Hebrew University). Title: “Polytopes – from simplicial to non-simplicial”.
Department of Mathematics University of Haifa
Colloquium
Speaker: Eran Nevo (Hebrew University)
Topic: Polytopes — from simplicial to non-simplicial
Place: Room 614 in the Education & Sciences Building
Time: 14:00
Date: Tuesday, December 4, 2018
Abstract:
A polytope is called simplicial if all its proper faces are simplices. The celebrated g-theorem gives a complete characterization of the possible face numbers (a.k.a. f-vector) of simplicial polytopes, conjectured by McMullen ’70 and proved by Billera-Lee (sufficiency) and by Stanley (necessity) ’80, the later uses deep relations with commutative algebra and algebraic geometry. Moving to general polytopes, a finer information than the f-vector is given by the flag-f-vector, counting chains of faces according to their dimensions. Here much less is known, or even conjectured. I will describe how the theory in the simplicial case reflects in the general case, and in subfamilies of interest, as well as open problems.
Tea will be served before the talk (at 13:50).
