Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Feb
06
2023

Members' Colloquium

Lefschetz Without Positivity: An Overview
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

The Lefschetz property is central in the theory of projective varieties, detailing a fundamental property of their Chow rings, essentially saying that the multiplication with a geometrically motivated class is of full rank.

We drop the keyword...

Feb
06
2023

Joint IAS/Princeton Arithmetic Geometry Seminar

Conditional Computability of Rational Points on Hyperbolic Curves
Levent Alpöge
4:30pm|Princeton University, Fine Hall 314

In this talk, I will specify a Turing machine T and prove the following about it. 1. On input C/K a smooth projective hyperbolic curve over a number field, if T halts, then its output is C(K). 2. The Hodge, Tate, and Fontaine-Mazur conjectures imply...

Feb
08
2023

Analysis and Mathematical Physics

On Co-dimension One Stability of the Soliton for the 1D Focusing Cubic Klein-Gordon Equation
3:00pm|Simonyi Hall 101 and Remote Access

Solitons are particle-like solutions to dispersive evolution equations whose shapes persist as time evolves. In some situations, these solitons appear due to the balance between nonlinear effects and dispersion, in other situations their existence...

Feb
09
2023

Joint IAS/PU Number Theory Seminar

Regular de Rham Galois Representations in the Completed Cohomology of Modular Curves
Lue Pan
4:30pm|Princeton University, Fine 214

Let p be a prime. I want to explain how to use the geometry of modular curves at infinite level and the Hodge–Tate period map to study regular de Rham p-adic Galois representations appearing in the p-adically completed cohomology of modular curves...

Feb
13
2023

Special Joint IAS/Princeton University Symplectic Geometry Seminar

Non-standard Contact Structures on Spheres and Applications
9:45am|Simonyi Hall 101 and Remote Access

In this talk, I will describe the construction of contact structures on higher-dimensional spheres with exotic fillability properties. These can then me implemented on more general manifolds via connected sum, yielding a host of exotic higher...

Feb
13
2023

Members' Colloquium

Floer Theories and Reeb Dynamics for Contact Manifolds
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

Contact topology is the study of certain geometric structures on odd dimensional smooth manifolds. A contact structure is a hyperplane field specified by a one form which satisfies a nondegeneracy condition called maximal non-integrability. The...

Feb
13
2023

IAS/Princeton Arithmetic Geometry Seminar

Integrality of the Betti Moduli Space
Johan De Jong
4:30pm|Simonyi Hall 101 and Remote Access

Let X be a smooth projective variety over the complex numbers. Let M be the moduli space of irreducible representations of the topological fundamental group of X of a fixed rank r. Then M is a finite type scheme over the spectrum of the integers Z...

Feb
15
2023

Analysis and Mathematical Physics

Degenerate Dispersion and Illposedness for Generalized SQG Equations
Dr. In-Jee Jeong
3:00pm|Simonyi Hall 101 and Remote Access

Given a linear equation whose principal term is given by a degenerate dispersive pseudo-differential operator, we provide a framework for the construction of degenerating wave packet solutions. As an application, we prove strong ill-posedness for...