Previous Special Year Seminar

Dec
07
2021

Seminar in Analysis and Geometry

The landscape law and wave localization
Svitlana Mayboroda
2:00pm|Simonyi Hall 101 and Remote Access

Complexity of the geometry, randomness of the potential, and many other irregularities of the system can cause powerful, albeit quite different, manifestations of localization, a phenomenon of sudden confinement of waves, or eigenfunctions, to a...

Nov
30
2021

Seminar in Analysis and Geometry

h-principle without pre-conditions for ridgy Lagrangians transverse to a distribution
Yakov Eliashberg
2:00pm|Simonyi Hall 101 and Remote Access

I will explain a proof of a joint with D. Alvarez-Gavela and D. Nadler theorem which allows to make a Lagrangian submanifold transverse to a given Lagrangian distribution in exchange for making them piecewise smooth with canonical singularities...

Nov
23
2021

Seminar in Analysis and Geometry

On Arnold's formula for the second variation of energy on orbits of 2d vorticities
Vladimír Sverák
2:00pm|Simonyi Hall 101 and Remote Access

We consider variational principles related to V. I. Arnold's stability criteria for steady-state solutions of the two-dimensional incompressible Euler equation. Our goal is to investigate under which conditions the quadratic forms defined by the...

Nov
18
2021

Discussions in Analysis and Geometry

Reading seminar on the papers of Tao on universality of the Euler equations
Francisco Mengual
2:00pm|Simonyi Hall 101 and Remote Access
We'll go through Tao's "On the universality of the incompressible Euler equation on compact manifolds, II. Non-rigidity of Euler flows".