Previous Conferences & Workshops

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...

Dec
07
2021

Computer Science/Discrete Mathematics Seminar II

An Introduction to Binary Code Bounds
Fernando Granha Jeronimo
10:30am|Simonyi Hall 101 and Remote Access

A binary code is simply any subset of 0/1 strings of a fixed length. Given two strings, a standard way of defining their distance is by counting the number of positions in which they disagree. Roughly speaking, if elements of a code are sufficiently...

Dec
06
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Producing algebraic curves in projective families via Floer theory
Alex Pieloch
4:00pm|Fine Hall 314, Princeton University

We will discuss the existence of rational (multi)sections and unirulings for projective families $f: X \to CP^1$ with at most two singular fibres. In particular, we will discuss two ingredients that are used to construct the above algebraic curves...

Dec
06
2021

Members' Colloquium

Old and New Results on the Spread of the Spectrum of a Graph
John C Urschel
2:00pm|Simonyi Hall 101 and Remote Access

The spread of a matrix is defined as the diameter of its spectrum. This quantity has been well-studied for general matrices and has recently grown in popularity for the specific case of the adjacency matrix of a graph. Most notably, Gregory...

Dec
06
2021

Computer Science/Discrete Mathematics Seminar I

List decoding with double samplers
Inbal Livni-Navon
11:15am|Simonyi Hall 101 and Remote Access

The ABNNR encoding is a classical encoding scheme that amplifies the distance of an error correcting code. The encoding takes an error correcting code with a small distance and constructs an error correcting code with distance approaching one, by...