Interpolation methods in analysis (with a little bit of geometry)

par Eliot Kahan, Tristan Bullion-Gauthier

mercredi 18 mars 2026, 10:30 → 11:25 Europe/Paris

112 (ICJ)

We want to connect two norms with a "curve" that has convexity properties (one of our goals being to estimate the norms in the "middle"). One way to achieve this is by the real and complex interpolation methods.
In this presentation, we will first discuss classical results in analysis that motvated these two methods. We will then move on to a more abstract framework allowing us to define these "curves" and to study their properties. Finally, we will describe the finite dimensional case and present an interpretation of that curve from a geometric point of view.