A functional version of Mahler conjecture for even log-concave functions in dimension 2.

Elie Nakhle

Labo. d'Analyse et de Mathématiques Appliquées, Université Gustave Eiffel

Mahler conjecture postulates that the minimum of the volume product among all symmetric convex bodies should be achieved for the cube. I will present a functional version of the conjecture which makes intervene even log-concave functions and their Legendre transform. Finally, I will give some ideas of the proof of this conjecture for functions defined in dimension 2.

Lien Zoom : https://univ-eiffel.zoom.us/j/86805768567 Mot de passe : zGRhLw9v