Analytic-Geometric Inequalities and Related Topics

May 13 - May 17, 2019

The workshop will focus on various aspects of diverse inequalities of functional and geometric nature. Topics of interest will include: Sobolev inequalities with sharp constants and norms and their applications to the theory of partial differential equations; geometric analysis of Sobolev maps; inequalities in the Brunn-Minkowski theory of convex bodies; asymptotic convex geometric analysis and logarithmic Sobolev type inequalities; optimal shape problems for variational functionals and their connections with eigenvalue estimates; modern theory of nonlocal operators and related fractional Sobolev and isoperimetric inequalities.