Orateur(s) | Artem Zvavitch - Kent,
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Titre | Links between different inequalities on mixed volumes of convex bodies |
Date | 13/06/2019 |
Horaire | 10:30 à 21:44 |
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Diffusion | |
Résume | The notion of mixed volumes and the inequalities involving them play a central role in the modern convex geometry, and have many connections to various other areas of mathematics. The most classical inequalities includes Brunn Minkowski inequality and more general Alexandrov-Fenchel inequality. In this talk we will discuss a local version of Alexandrov-Fenchel ineqaulity and its connection to the search for the best constant in a number of geometric inequalities including inequality on the volume of orthogonal projections of convex bodies; isomorphic version of Bezout inequality; approximate submodularity of Minkowski sum; as well as to the property of distribution of roots of Steiner polynomial. This is a joint work with Matthieu Fradelizi and Mokshay Madiman. |
Salle | salle 13 - couloir 15-16 - 4ème étage |
Adresse | Campus Pierre et Marie Curie |