Analysis Seminar

The Analysis Seminar meets Mondays at 3:00 PM in a hybrid format, some talks will be in person in Fine Hall 314, and some others will be online. Organizers: Tristan Léger, Alan Chang, Bjoern Bringmann, and Rita Teixeira da Costa.

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Feb 06

Duong Phong, Columbia University

Diameters, Green’s functions, and new PDE methods in K\”ahler geometry

Fine Hall 314 / 3:00 PM - 4:00 PM

Classical estimates for diameters and Green’s functions in Riemannian geometry had required bounds on the Ricci curvature, and limited the applicability of… See Full Abstract

See Full Abstract

Feb 13

Yu Deng, University of Southern California

Kinetic wave turbulence theory: full range of scaling laws

Fine Hall 314 / 3:00 PM - 4:00 PM

We present recent work with Zaher Hani (Michigan) that establishes the wave kinetic approximation for nonlinear Schrödinger (NLS) equation, for the full… See Full Abstract

See Full Abstract

Feb 20

Yaiza Canzani, University of North Carolina at Chapel Hill

Counting closed geodesics and improving Weyl’s law for predominant sets of metrics

Fine Hall 314 / 3:00 PM - 4:00 PM

We discuss the typical behavior of two important quantities on compact manifolds with a Riemannian metric g: the number, c(T, g), of primitive closed… See Full Abstract

See Full Abstract

Feb 27