Previous Conferences & Workshops

Jan
23
2024

Computer Science/Discrete Mathematics Seminar II

Online Discrepancy Minimization
10:30am|Simonyi Hall 101 and Remote Access

The online discrepancy minimization problem asks, given unit vectors v_1, ..., v_t arriving one at a time, for online signs x_1 ..., x_t4 in {-1, 1} so that the signed sum x_1 v_1 + ... + x_t v_t has small coordinates in absolute value. 

In the first...

Jan
22
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Tangent Bundles in p-adic Geometry
3:30pm|Simonyi Hall 101 and Remote Access

Because of the existence of approximate p-power roots, a perfectoid algebra over Q_p admits no continuous derivations, and thus the natural Kahler tangent space of a perfectoid space over Q_p is identically zero. However, it turns out that many...

Jan
22
2024

Computer Science/Discrete Mathematics Seminar I

Marton's Conjecture, aka the Polynomial Freiman--Ruzsa Conjecture
Frederick Manners
11:00am|Simonyi 101 and Remote Access

A function $f : \mathbb{F}_2^n \to \mathbb{F}_2^n$ is linear if $f(x+y)=f(x)+f(y)$ for all pairs $(x,y)$.

Suppose $f$ is "a bit linear" -- say, $f(x+y)=f(x)+f(y)$ for 1% of pairs $(x,y)$.  Must $f$ agree with a truly linear function a positive...

Jan
19
2024

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

Cabling Families of Legendrian Embeddings
Eduardo Fernández
9:15am|Remote Access

I will discuss a recursive formula for the homotopy type of the space of Legendrian embeddings of sufficiently positive cables with the maximal Thurston-Bennequin invariant. Via this formula, we identify infinitely many new components within the...

Jan
05
2024

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

Three 20 Minute Research Talks
Francesco Morabito, Filip Brocic and Valentin Bosshard
9:15am|Remote Access
  • Francesco Morabito:Hofer Norms on Braid Groups and Quantitative Heegaard-Floer Homology

    Given a lagrangian link with k components it is possible to define an associated Hofer norm on the braid group with k strands. In this talk we are going to...

Dec
22
2023

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

Equivariant Floer Homotopy via Morse-Bott Theory
Yusuf Barış Kartal
9:15am|Remote Access

Floer homotopy type refines the Floer homology by associating a (stable) homotopy type to an Hamiltonian, whose homology gives the Hamiltonian Floer homology. In particular, one expects the existing structures on the latter to lift as well, such as...

Dec
15
2023

Analysis and Mathematical Physics

PDE and Discrete Models of 2D Quantum Materials
2:30pm|Simonyi Hall 101 and Remote Access

We consider 2D quantum materials (non-magnetic and constant magnetic field cases), modeled by a continuum Schroedinger operator, whose potential is a sum of translates of an atomic well, centered on the vertices of a discrete subset of the plane...

Dec
15
2023

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

Symplectic Embeddings of Rational Homology Balls into Projective Space
John Etnyre
9:15am|Remote Access

I will discuss how to build small symplectic caps for contact manifolds as a step in building small closed symplectic 4-manifolds. As an application of the construction, I will give explicit handlebody descriptions of symplectic embeddings of...

Dec
14
2023

Joint PU/IAS Number Theory

The Hodge and Tate Conjectures and Weight One Forms
Kartik Prasanna
4:30pm|*Princeton University, Fine 214*

The Tate conjecture predicts that in many instances, Langlands functoriality should be given by algebraic cycle classes. In previous joint work with Ichino, we showed that the Jacquet-Langlands correspondence for cohomological modular forms on GL(2)...