Previous Conferences & Workshops

Feb
16
2024

Condensed Learning Seminar

Efimov K-Theory
2:30pm|Princeton University, Fine Hall 314

Introduce the notion of Verdier sequences of presentable stable $\infty$-categories and then discuss the behavior of dualizable $\infty$-categories in Verdier sequence; in particular, discuss Thomason's trick. Introduce the notion of localizing...

Feb
16
2024

Analysis and Mathematical Physics

Quantitative Regularity Theory for the Axisymmetric Navier-Stokes Equations
2:30pm|Simonyi Hall 101 and Remote Access

In the search for possible blow-up of the incompressible Navier-Stokes equations, there has been much recent attention on the class of axisymmetric solutions with swirl. Several interesting structures of this system have led to regularity criteria...

Feb
16
2024

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

Symplectic Capacities of Domains Close to the Ball and Banach-Mazur Geodesics in the Space of Contact Forms
Alberto Abbondandolo
9:15am|Remote Access

An old open question in symplectic topology is whether all normalized capacities coincide on convex bounded domains in the standard symplectic vector space. I will discuss this question for domains which are close to the Euclidean ball and its...

Feb
15
2024

Joint PU/IAS Number Theory

A P-Adic Analogue of a Theorem of Narasimhan and Seshadri
Fabrizio Andreatta
4:30pm|*Princeton University, Fine 214*

Given a compact Riemann surface, a classical theorem of of Narasimhan and Seshadri characterize vector bundles arising from unitary representations of the fundamental group as the polystable vector bundles of degree 0. Given a projective curve with...

Feb
14
2024

Mathematical Conversations

Ergodic Theory Beyond Birkhoff's Theorem
6:00pm|Birch Garden, Simons Hall

The classical Birkhoff individual ergodic theorem states that in the presence of an ergodic invariant measure, almost every orbit is uniformly distributed with respect to the measure. For many applications (in particular to number theory), it is...

Feb
14
2024

Special Year Seminar

Motivic Cohomology of Mixed Characteristic Schemes
Tess Bouis
2:00pm|Simonyi 101 and Remote Access

I will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular, it is non-$A^1$-invariant in general, but it recovers...

Feb
13
2024

Computer Science/Discrete Mathematics Seminar II

Reconstruction on Trees and Hypertrees
10:30am|Simonyi Hall 101 and Remote Access

Consider the process where a signal propagates downward an infinite rooted tree. On every edge some independent noise is applied to the signal. The reconstruction problem asks whether it is possible to reconstruct the original signal given...

Feb
12
2024

Members' Colloquium

Conservation Laws, Traffic and Autonomy
2:00pm|Simonyi 101 and Remote Access

The problem of control of large multi-agent systems, such as vehicular traffic, poses many challenges both for the development of mathematical models and their analysis and the application to real systems. First, we discuss how conservation laws can...