Наредни састанак Семинара биће одржан у петак, 25. октобра 2024. године, у сали 301ф Математичког института САНУ са поечетком у 14.15.
Предавач: Margaret Bayer, University of Kansas
Наслов предавања: GRAPHS AND RECONSTRUCTION OF POLYTOPES
Апстракт: How much combinatorial information is needed to determine the face lattice of a convex polytope? The talk will survey results on this question. An old result by Blind and Mani, and Kalai, shows that the graph of a simple d-polytope determines the combinatorial type of the d-polytope. More recent work of Doolittle, et al., extends the result on simple polytopes to polytopes with few nonsimple vertices. The d/2-skeleton of a simplicial d-polytope determines the combinatorial type of the polytope (Perles), and this has been extended (by Dancis) to simplicial manifolds. Also considered will be the question of dimensional ambiguity: when is a k-complex the k-skeleton of polytope of different dimensions. In particular, results by Espenschied on the graphs of cross-polytopes will be discussed.
Напомена: Предавања се могу пратити на даљину преко линка:
https://miteam.mi.sanu.ac.rs/call/XZawgjASPavABY37A/2t2yGBvU01onPAP3aSUKiNFb2Skjk-3w5XJruW-yaZh
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https://miteam.mi.sanu.ac.rs/asset/sd3bebvvcBSNtN78B