Colloquium Maths-Info June 5th, 2018

To celebrate the arrival of our visiting professors UPE and Bézout Artem ZVAVITCH and Boris BUKH, Matthieu Fradelizi (LAMA) and Xavier GOAOC are pleased to invite you to attend : 

Colloquium Maths-info
Tuesday, June 5th 2018

Room 2B101 - the renovated part of the building Copernic à l’UPEM.

Program

10:00-1100 : Artem Zvavitch (Professeur invité UPE et Kent State University)
Titre : Bezout Inequality for Mixed volumes
Résumé : In this talk we will discuss an analog of Bezout inequality for mixed volumes of convex bodies. We will start with a general introduction to the theory of mixed volumes and its connections to algebraic geometry, in particular to the Bezout inequality. We will present a conjecture that the new Bezout inequality for mixed volumes characterizes simplices. We will show that the conjecture is true in many special cases. Finally, we connect the inequality to an inequality on the volume of orthogonal projections of convex bodies as well as present an isomorphic version of the inequality.

11h-11h30 : pause café

11h30-12h30 : Boris Bukh (Professeur invité du labex Bézout et Carnegie Mellon University)
Titre : Nearly orthogonal vectors
Résumé : How to arrange d+k vectors in R^d so that they are as close to orthogonal as possible? We show a connection of this problem to an optimization problem over isotropic measures. Using this connection, we solve the problem for k=1,2,3,7 and 23. Joint work with Chris Cox.