Previous Conferences & Workshops

Apr
20
2022

Mathematical Physics Seminar

Towards Morse theory of dispersion relations
Gregory Berkolaiko
11:00am|Simonyi 101 and Remote Access

The question of optimizing an eigenvalue of a family of self-adjoint operators that depends on a set of parameters arises in diverse areas of mathematical physics.  Among the particular motivations for this talk are the Floquet-Bloch decomposition...

Apr
19
2022

Seminar in Analysis and Geometry

Singularity formation for reduced models of fluid equations
2:00pm|Simonyi Hall 101 and Remote Access

The non-resistive electron magnetohydrodynamics (MHD) has some peculiar connection with the Euler equation. Some one-dimensional reduced models are suggested as an attempt to build intuition toward understanding the nonlinear structure and dynamics...

Apr
19
2022

Computer Science/Discrete Mathematics Seminar II

A Tutorial on Gaussian Elimination
10:30am|Simonyi Hall 101 and Remote Access

Gaussian elimination is one of the oldest and most well-known algorithms for solving a linear system. In this talk, we give a basic, yet thorough overview of the algorithm, its variants, and standard error and conditioning estimates. In addition, a...

Apr
18
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Non-Orientable Lagrangian Fillings of Legendrian Knots
4:00pm|Fine 314 and Remote Access

Most work on Lagrangian fillings of Legendrian knots to date has concentrated on orientable fillings, but instead I will present some first steps in constructions of and (especially) obstructions to the existence of (decomposable exact) non...

Apr
18
2022

Computer Science/Discrete Mathematics Seminar I

Set Chasing, with an application to online shortest path
Sébastien Bubeck
11:15am|Simonyi 101 and Remote Access

Since the late 19th century, mathematicians have realized the importance and generality of selection problems: given a collection of sets, select an element in each set, possibly in a ``nice” way.  Of particular importance in computer science is the...

Apr
14
2022

Joint IAS/Princeton University Number Theory Seminar

Non-vanishing of twists of $\mathrm{GL}(4)$ $L$-functions
Liyang Yang
4:30pm|Simonyi 101 and Remote Access

I will discuss recent work with Maksym Radziwill in which we show that for any fixed tempered cuspidal representation $\pi$ of $\mathrm{GL}(4)$ over the rationals, there exist infinitely many primitive characters $\chi$ such that the twisted $L$...

Apr
13
2022

Mathematical Physics Seminar

Invariant Gibbs measures for the cubic nonlinear wave equation
4:30pm|Simonyi Hall 101 and Remote Access

In this talk, we prove the invariance of the Gibbs measure for the three-dimensional cubic nonlinear wave equation, which is also known as the hyperbolic $\Phi ^{4} _{3}$-model.

In the first half of this talk, we illustrate our main objects and...