Department of Mathematics\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 University of \u00a0Haifa<\/p>\n
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Colloquium<\/u><\/strong><\/p>\n <\/p>\n Speaker: Eran Nevo (Hebrew University)<\/p>\n <\/p>\n Topic:\u00a0Polytopes — from simplicial to non-simplicial<\/p>\n <\/p>\n Place:\u00a0Room 614 in the Education & Sciences Building<\/p>\n Time:\u00a014:00<\/strong><\/p>\n Date:\u00a0Tuesday, December 4, 2018<\/p>\n <\/p>\n Abstract<\/u><\/strong>:<\/u><\/strong><\/p>\n 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.<\/p>\n Tea will be served before the talk (at 13:50<\/strong>).<\/p>\n","protected":false},"excerpt":{"rendered":" Department of Mathematics\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 University of \u00a0Haifa Colloquium Speaker: Eran Nevo (Hebrew University) Topic:\u00a0Polytopes — from simplicial to non-simplicial Place:\u00a0Room 614 in the Education & Sciences Building Time:\u00a014:00 Date:\u00a0Tuesday, December 4, 2018 Abstract: A polytope is…
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