Previous Conferences & Workshops

Nov
05
2021

Workshop on the h-principle and beyond

On some geometry-grounded problems involving PDEs, Dynamics, and discretization
Dmitri Burago
2:15pm|Simonyi 101 and Remote Access

Abstract: I use the same title for different talks, changing the selection of topics and the level of detailedness for each topic:) This is a survey talk based on joint projects with D. Chen, S. Ivanov, late Ya. Kurylev, M. Lassas, J. Lu, and, if...

Nov
05
2021

Workshop on the h-principle and beyond

Flexibilization as localization
Oleg Lazarev
11:45am|Simonyi 101 and Remote Access

Abstract: Cieliebak and Eliashberg showed that there is a special class of flexible symplectic structures that satisfy an h-principle and hence  have `trivial' symplectic topology. In this talk, I will explain that it is fruitful to think of...

Nov
05
2021

Workshop on the h-principle and beyond

A h-principle for locally conformal symplectic structures
Mélanie Bertelson
10:15am|Simonyi 101 and Remote Access

Abstract : We describe a construction of a locally conformal symplectic structure homotopic to any given non-degenerate 2-form and whose Lee form can be any non-exact 1-form. Moreover, each connected component of the boundary, if any, may be chosen...

Nov
05
2021

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

Three 20 minute research talks
Rohil Prasad, Alex Pieloch and Chi Hong Chow
9:15am|Remote Access

Rohil Prasad (Princeton), The smooth closing lemma for area-preserving surface diffeomorphisms

In this talk, I will discuss recent joint work with D. Cristofaro-Gardiner and B. Zhang showing that a generic area-preserving diffeomorphism of a closed...

Nov
04
2021

Joint IAS/Princeton University Number Theory Seminar

Monogenic fields with odd class number
Artane Jeremie Siad
4:30pm|Fine Hall 214, Princeton University and Remote Access

In this talk, we prove an upper bound on the average number of 2-torsion elements in the class group of monogenised fields of any degree $n \geq 3$ and, conditional on a widely expected tail estimate, compute this average exactly. As an application...

Nov
04
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

A (slightly deeper) look into the restricted 3-body problem
Agustin Moreno
3:45pm|Simonyi Hall 101

In this talk, as a continuation of my talk in the Members’ Colloquium but with a specialized audience in mind, I will discuss in more detail some of the general geometric and dynamical structures underlying the theoretical aspects of the restricted...

Nov
04
2021

Workshop on the h-principle and beyond

Flexibility in $C^{0}$ symplectic geometry
Lev Buhovsky
2:15pm|Simonyi 101 and Remote Access

Abstract: Traditionally, objects of study in symplectic geometry are smooth - such as symplectic and Hamiltonian diffeomorphisms, Lagrangian (or more generally, isotropic and co-isotropic) submanifolds etc. However, in the course of development of...

Nov
04
2021

Workshop on the h-principle and beyond

Ampleness up to avoidance
Alvaro del Pino Gomez
11:45am|Simonyi 101 and Remote Access

Abstract: In the first half of the talk I will review Gromov's work on convex integration for open differential relations. I will put particular emphasis on comparing various flavours of ampleness and, in particular, I will note that the different...

Nov
04
2021

Workshop on the h-principle and beyond

A topological view on the Monge-Ampere equation without convexity assumptions
10:15am|Simonyi 101 and Remote Access

Abstract: In this talk we consider the classical Monge-Amp´ere equation in two dimensions in a low-regularity regime:

(0.1) det D 2u = f on D ⊂ R2 .

We will assume that f is a given strictly positive, smooth function, but we want to assume as...