Special Year 2021-22: h-Principle and Flexibility in Geometry and PDEs - Seminar

Lectures in Analysis and Geometry

December 15, 2021 | 2:00pm - 4:00pm

In this talk, I will explain how the Ruelle invariant of a symplectomorphism and the Ruelle invariant of a Reeb flow are related via the open book construction. As an application, I will construct examples of Reeb flows on the sphere that are...

Discussions in Analysis and Geometry

December 09, 2021 | 2:00pm - 4:00pm

In this talk, I will define the Ruelle invariant of a measure preserving flow equipped with a symplectic cocycle. This is a natural dynamical quantity that measures a spacetime averaged rotation of the cocycle along the flow. I will then discuss the...

Seminar in Analysis and Geometry

December 07, 2021 | 2:00pm - 3:00pm

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...

Seminar in Analysis and Geometry

November 30, 2021 | 2:00pm - 3:00pm

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...