Συνδυαστική Θεωρία (ΘΜ29)

Ημερομηνία: Τρίτη 24/10/2023
Ώρα: 11:00
Αίθουσα: Γ31

Speaker: Filip Jevtić, Mathematical Institute of the Serbian Academy of
Sciences and Arts


Title: Bier Spheres

Abstract: A Bier shpere is a simplicial complex defined as a deleted
 join of a simplicial complex and its Alexander dual. It doesn't have
 an a priori geometrical realization. Though combinatorially a shpere,
 in most cases it is not polytopal. When is it polytopal? When is it
 star-shaped? What is the volume of its geometrical realizations? What
 is its connection with threshold complexes? How is it connected to
 simple games? The results we'll show (partially) answer these
 questions and are a product of joint works with M. Timotijević and
 R.T. Živaljević.