Previous Conferences & Workshops

Dec
10
2021

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

GIT quotients and Symplectic data analysis
Urs Frauenfelder
9:15am|Remote Access

This is joint work with Agustin Moreno and Dayung Koh. The restricted three-body problem is invariant under various antisymplectic involutions. These real structures give rise to the notion of symmetric periodic orbits which simultaneously have a...

Dec
09
2021

Joint IAS/Princeton University Number Theory Seminar

The second moment of the size of the 2-Selmer group of elliptic curves
Ashvin Swaminathan
4:30pm|Fine Hall 214, Princeton University and Remote Access

We introduce a new orbit parametrization for square roots of the class of the inverse different in rings cut out by binary forms. This parametrization has many applications of interest in arithmetic statistics; for example, we use it to prove that...

Dec
09
2021

Discussions in Analysis and Geometry

The Ruelle invariant and convexity I
Julian Chaidez
2:00pm|Simonyi Hall 101 and Remote Access

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...

Dec
08
2021

Arithmetic Groups

Commutators in SL_2 and Markoff Surfaces
Peter Sarnak
11:00am|Simonyi 101 and Remote Access

We discuss a local to global profinite principle for being a commutator in some arithmetic groups. Specifically we show that $SL_2(Z)$ satisfies such a principle, while it can fail with infinitely many exceptions for $SL_2(Z[1/p])$. The source of...

Dec
08
2021

Character Varieties, Dynamics and Arithmetic

Effective mapping class group dynamics
Francisco Andres Arana-Herrera
10:00am|Simonyi Hall 101 and Remote Access
Motivated by counting problems for closed geodesics on hyperbolic surfaces, I will present a family of new results describing the dynamics of mapping class groups on Teichmüller spaces and spaces of closed curves of closed surfaces.
Dec
07
2021

Special Seminar

Stable Vortex Sheets and Irreversibility of Turbulence
Alexander Migdal
4:00pm|Simonyi Hall 101 and Remote Access

New kinds of vortex sheets with vorticity confined to the boundary layer are proposed and investigated in detail. Exact solutions of the steady Navier-Stokes equations for a planar vortex sheet in arbitrary background strain are found in terms of...

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...