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The Faculty of Informatics is pleased to announce a seminar given by Samuel Fiorini



Counting 2-level polytopes
Speaker: Samuel Fiorini
Université libre de Bruxelles, Belgium
Date: Wednesday, March 14, 2018
Place: USI Lugano Campus, room A34, Red building (Via G. Buffi 13)
Time: 14:00-15:00



Two-level polytopes are fascinating polytopes that appear in different contexts (Erhart theory, sum-of-squares hierarchies, and more). They generalize, for instance, stable set polytopes of perfect graphs. Although all the evidence we have indicates that they have a very constrained structure, so far there are very few general results about 2-level polytopes.

In this talk I will report on recent results about 2-level polytopes. We can show that there are very few: at most 2^{O(d^2 log(d))}, up to isomorphism. The same bound also applies to 2-level cones.

This result is joint work with Marco Macchia and Kanstantsin Pashkovich.



Samuel Fiorini is Associate Professor at the Universit√© libre de Bruxelles, Department of Mathematics. His research interests include polyhedral combinatorics, extended formulations, combinatorial optimization, approximation algorithms, some problems in structural graph theory.


Host: Prof. Monaldo Mastrolilli


Faculty of Informatics

Faculty of Informatics
Università della Svizzera italiana
Via Giuseppe Buffi 13
CH-6904 Lugano
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Fax: +41 (0)58 666 45 36
Email: decanato.inf@usi.ch
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