Event № 2231
Event № 2231
Type: Lecture
Name: Colloquium
Title: Polytopes -- from simplicial to non-simplicial
Speaker: Eran Nevo
Place:
Education and Sciences Building, Room 614, University of Haifa
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.
SubmittedBy:
Nadav Yesha , nyesha@univ.haifa.ac.il
EventLink: Event № 2231