Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, July 14, 2009, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Eran Nevo (Cornell Univ., Ithaca)

Missing faces and generalized lower bounds on face numbers

We consider simplicial polytopes, and more general simplicial complexes, without missing faces above a fixed dimension. (F is a missing face of a complex K if the boundary of F is contained in K and F is not in K.) We conjecture sharp analogues of McMullen's generalized lower bounds, and of Barnette's lower bounds, for these families of complexes. This gives a hierarchy of conjectures on lower bounds on face numbers, interpolating between McMullen's generalized lower bound conjecture for simplicial spheres and Gal's conjecture for flag spheres. We provide partial results on these conjectures.

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