Seminars Sorted by Series

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

Mar
08
2024

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

Strongly Invertible Knots, Khovanov Homotopy, and Localization
Robert Lipshitz
9:15am|Remote Access

Strong inversions are a class of order-2 symmetries of knots in . Building on work of Seidel-Smith, Lidman-Manolescu, Stoffregen-Zhang, and others, we will describe a relationship between the Khovanov homology of a knot with a strong inversion and...

Mar
15
2024

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

Quantitative Floer Theory and Coefficients
Yusuke Kawamoto
9:15am|Remote Access

I will discuss how much the choice of coefficients impacts the quantitative information of Floer theory, especially spectral invariants. In particular, I will present some phenomena that are specific to integer coefficients, including an answer to a...

Mar
22
2024

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

The Giroux Correspondence in Arbitrary Dimensions
Ko Honda
9:15am|Remote Access

Around twenty years ago Emmanuel Giroux formulated the equivalence of contact structures and open book decompositions with Weinstein pages up to stabilization. We establish the Giroux correspondence in full generality using the recent developments...

Mar
29
2024

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

Three 20 Minute Research Talks
Yao Xiao, Yoav Zimhony and Qi Feng
9:15am|Remote Access
  • Yao Xiao : Equivariant Lagrangian Floer Theory on Compact Toric Manifolds

    We introduce an equivariant Lagrangian Floer theory on compact symplectic toric manifolds. We define a spectral sequence to compute the equivariant Floer cohomology. We show...

Apr
12
2024

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

Three 20 Minute Research Talks
Yan-Lung Leon Li , Levin Maier and Austin Christian
9:15am|Remote Access
  • Yan-Lung Leon Li :Equivariant Lagrangian Correspondence and a Conjecture of Teleman

    It has been a continuing interest, often with profound importance, in understanding the geometric and topological relationship between a Hamiltonian G-manifold Y and...

May
03
2024

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

Symplectic Structures from Almost Symplectic Structures
Agustin Moreno
9:15am|Remote Access

In this talk, we will consider a stabilized version of the fundamental existence problem of symplectic structures (cf. Open Problem 1 in McDuff & Salamon). Given a formal symplectic manifold, i.e. a closed manifold $M$ with a non-degenerate 2-form...

May
10
2024

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

Invariant Sets and Hyperbolic Periodic Orbits
Viktor Ginzburg
9:15am|Remote Access

The presence of hyperbolic periodic orbits or invariant sets often has an affect on the global behavior of a dynamical system. In this talk we discuss two theorems along the lines of this phenomenon, extending some properties of Hamiltonian...

May
24
2024

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

New Algebraic Invariants of Legendrian Links
Lenhard Ng
9:15am|Remote Access

For the past 25 years, Legendrian contact homology has played a key role in contact topology. I'll discuss a package of new invariants for Legendrian knots and links that builds on Legendrian contact homology and is derived from rational symplectic...

May
31
2024

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

Toric and Semitoric Symplectic Geometry: Progress and Challenges
Álvaro Pelayo
9:15am|Remote Access

Toric integrable systems, also known as symplectic toric manifolds, arise as examples in different contexts within geometry and related areas. Semitoric integrable systems are a generalization of toric integrable systems in dimension four. In this...

Jun
14
2024

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

Two or infinity
Dan Cristofaro-Gardiner
9:15am|Remote Access

It is conjectured that every Reeb flow on a closed three-manifold has either two, or infinitely many, simple periodic orbits. I will survey what is currently known about this conjecture. Then, I will try to explain some of the key ideas behind...

Jun
28
2024

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

Symplectic Orbifold Gromov-Witten Invariants.
Mark McLean
9:15am|Remote Access

Chen and Ruan constructed symplectic orbifold Gromov-Witten invariants more than 20 years ago.  In ongoing work with Alex Ritter, we show that moduli spaces of pseudo-holomorphic curves mapping to a symplectic orbifold admit global Kuranishi charts...

Oct
11
2024

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

Floer Homology with DG Coefficients. Applications to Cotangent Bundles
Alexandru Oancea
9:15am|Remote Access

Given a path-connected topological space X, a differential graded (DG) local system (or derived local system) is a module over the DGA of chains on the based loop space of X. I will explain how to define in the symplectically aspherical case...

Oct
18
2024

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

Ekeland-Hofer Capacities as Coming from Positive $S^1$ Equivariant Symplectic Homology
9:15am|Remote Access

Associated to a star-shaped domain in $\mathbb{R}^{2n}$ are two increasing sequences of capacities: the Ekeland-Hofer capacities and the so-called Gutt-Hutchings capacities. I shall recall both constructions and then present the main theorem that...

Oct
25
2024

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

Three 20 Minute Research Talks
Adrien Currier , Adi Dickstein and Elliot Gathercole
9:15am|Remote Access
  • Adrien Currier (Université de Nantes) :Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure

    First considered by Lee in the 40s, locally conformally symplectic (LCS) geometry appears as a generalization of symplectic...

Nov
01
2024

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

Classification of Some Open Toric Domains
Michael Hutchings
9:15am|Remote Access

We show that two generic, open, convex or concave toric domains in $R^4$ are symplectomorphic if and only if they agree up to reflection. The proof uses barcodes in positive $S^1$-equivariant symplectic homology, or equivalently in cylindrical...

Nov
15
2024

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

Three 20min Research Talks
Sebastian Haney , Milica Ðukic and Yann Guggisberg
9:15am|Remote Access
  • Sebastian Haney (Columbia University) :Open enumerative mirror symmetry for lines in the mirror quintic

    One of the earliest achievements of mirror symmetry was the prediction of genus zero Gromov-Witten invariants for the quintic threefold in terms...

Nov
22
2024

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

New Invariants for Hamiltonian Isotopy Classes of Monotone Lagrangian Torus Fibers
Felix Schlenk
9:15am|Remote Access

Based on the exotic Lagrangian tori constructed in CP$^2$ by Vianna and Galkin-Mikhalkin, we construct for each Markov triple three monotone Lagrangian tori in the 4-ball, and for triples with distinct entries show that these tori lie in different...

Nov
29
2024

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

Non-commutative Cartier Isomorphism and Quantum Cohomology
Daniel Pomerleano
9:15am|Remote Access

Kaledin established a Cartier isomorphism for cyclic homology of dg-categories over fields of characteristic p, generalizing a classical construction in algebraic geometry. In joint work with Paul Seidel, we showed that this isomorphism and related...

Dec
13
2024

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

Using h-Cobordisms to Detect Non-Trivial Homotopy Groups in Spaces of Legendrian
Thomas Kragh
9:15am|Remote Access

In this talk I will first define the space of h-cobordisms associated to a manifold M. This space is known to have many non-trivial homotopy groups and in stable range (they can often be computed using Waldhausen's algebraic K-theory of spaces). I...

Dec
20
2024

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

Three 20 Minute Research Talks
Jae Hee Lee, Simon Vialaret and Kenneth Blakey
9:15am|Remote Access

Jae Hee Lee (Stanford University) :Quantum Steenrod Operations, p-curvature, and Representation Theory

Quantum Steenrod operations are deformations of classical Steenrod operations on mod p cohomology defined by counts of genus 0 holomorphic curves...

Jan
31
2025

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

Three 20 Minute Research Talks
Zhen Gao, Zihong Chen and Jonghyeon Ahn
9:15am|Remote Access

Zhen Gao (Universität Augsburg) :Morse-Bott Floer Homology and Rectangular Pegs

The rectangular peg problem, an extension of the square peg problem, is easy to outline but challenging to prove through elementary methods. In this talk, I discuss how...

Joint IAS/Princeton/Rutgers Analysis Seminar

Nov
11
2004

Joint IAS/Princeton/Rutgers Analysis Seminar

Asymptotically Simple Solutions of the Vacuum Einstein Equations in Even Dimensions
Michael Anderson
3:30pm|Fine Hall 214

We will discuss a new construction of space-times in the title with $\Lambda > 0$ or $\Lambda = 0$ based on solving the Cauchy problem for a conformally invariant system of equations formed from the Fefferman-Graham (ambient obstruction) tensor.

Nov
18
2004

Joint IAS/Princeton/Rutgers Analysis Seminar

A Deterministic Control Based Approach to Motion by Curvature
Sylvia Serfaty
3:30pm|Princeton University, Fine Hall 214

In a joint work with Bob Kohn, we give a new control-type interpretation on the level-set approach to motion by curvature and related interface motion laws. More precisely, we give a family of discrete-time, two-person games whose value functions...

Dec
09
2004

Joint IAS/Princeton/Rutgers Analysis Seminar

Prescribing symmetric functions of the eigenvalues of the Ricci tensor
Matt Gursky
3:30pm|Fine Hall 214

In joint work with J. Viaclovsky, we studied the problem of prescribing symmetric functions of the eigenvalues of the Schouten tensor for a conformal metric on a compact manifold (often referred to as the "Sigma-k Yamabe problem"). This is...

Feb
10
2005

Joint IAS/Princeton/Rutgers Analysis Seminar

Paraproducts on Polydiscs
4:00pm|Fine Hall 214

We will describe a result which extends the classical Coifman-Meyer theorem to the multi-parameter setting of polydiscs. This is based on work recently completed jointly with Jill Pipher, Terry Tao and Christoph Thiele.

Mar
03
2005

Joint IAS/Princeton/Rutgers Analysis Seminar

Uniqueness Properties of Solutions of Schrödinger Equations
4:00pm|Fine Hall 214

I will talk about some recent joint work with Carlos Kenig on a certain type of uniqueness property for solutions of nonlinear Schrödinger equations on $R^d\times R$.

Mar
31
2005

Joint IAS/Princeton/Rutgers Analysis Seminar

Maps with Values into S^1 and Minimal Connections
4:00pm|Fine Hall 214

Maps in W^{1,1} from the sphere S^2 into the circle S^1 can have, at most, countably many topological singularities. I will present some techniques which allow us to localize and quantify those "defects". Joint work with H. Brezis and P. Mironescu.

Joint IAS/PU Analysis Seminar

Oct
13
2023

Joint IAS/PU Analysis Seminar

On the Long-Time Behavior of Solutions to the 2d Euler Equation
Tarek Elgindi
2:30pm|Princeton University, Fine Hall 314

We will describe a recent result on the stability of twisting in 2d Hamiltonian flows and its application to various questions concerning the long-time behavior of 2d Euler solutions. We will look at stability properties of stationary solutions...

Oct
13
2023

Joint IAS/PU Analysis Seminar

Immortal Solutions of the Kähler-Ricci Flow
Valentino Tosatti
4:00pm|Princeton University, Fine Hall 314

I will discuss the problem of understanding the long-time behavior of Ricci flow on a compact Kähler manifold, assuming that a solution exists for all positive time. Inspired by an analogy with the minimal model program in algebraic geometry, Song...

Dec
01
2023

Joint IAS/PU Analysis Seminar

Higher Dimensional Fractal Uncertainty
Alex Cohen
2:30pm|Simonyi 101 and Remote Access

A fractal uncertainty principle (FUP) roughly says that a 
function and its Fourier transform cannot both be concentrated on a 
fractal set. These were introduced to harmonic analysis in order to 
prove new results in quantum chaos: if eigenfunctions...

Dec
01
2023

Joint IAS/PU Analysis Seminar

Renormalization Group and Homogenization
Scott Armstrong
4:00pm|Simonyi 101 and Remote Access

I will describe some new "coarse-graining" methods in quantitative homogenization and how they can be used to give rigorous versions of certain heuristic "renormalization group" arguments in physics, with a focus on several examples.

Mar
22
2024

Joint IAS/PU Analysis Seminar

Classification of Kink Clusters for Scalar Fields on the Line
Andy Lawrie
2:30pm|Princeton University Fine Hall 314

I will present joint work with Jacek Jendrej. We consider classical scalar fields in dimension 1+1 with a symmetric double-well self-interaction potential. Examples of such equations are the phi-4 model and the sine-Gordon equation. These nonlinear...

Mar
22
2024

Joint IAS/PU Analysis Seminar

Hilbert’s Sixth Problem for Nonlinear Waves
Zaher Hani
4:00pm|Princeton University Fine Hall 314

Hilbert’s sixth problem asks for a mathematically rigorous justification of the macroscopic laws of statistical physics from the microscopic laws of dynamics. The classical setting of this problem is the justification of Boltzmann’s kinetic equation...

Apr
19
2024

Joint IAS/PU Analysis Seminar

Generalized Cylinder Limits of Ricci Flow Singularities
Natasa Sesum
2:30pm|Simonyi Hall 101 and Remote Access

We study multiply warped product geometries MN:=Bn×Fn1×···×FnA 

g = g_B + \sum_{a=1}^A v_a^2 g_{F^{n_a}} and show that for an open set of initial data within multiply warped product geometries the Ricci flow starting at any of those develops...

Apr
19
2024

Joint IAS/PU Analysis Seminar

An Energy Model for Harmonic Graphs with Junctions
Ovidiu Savin
4:00pm|Simonyi Hall 101 and Remote Access

We consider an energy model for N ordered elastic membranes subject to forcing and boundary conditions. The heights of the membranes are described by real functions u_1, u_2,...,u_N, which minimize an energy functional involving the Dirichlet...

Oct
21
2024

Joint IAS/PU Analysis Seminar

Extremal Black Hole Formation as a Critical Phenomenon
Ryan Unger
3:00pm|314 Fine Hall

Extremal black holes are special solutions of Einstein’s equations which have absolute zero temperature in the thermodynamic analogy of black hole mechanics. In this talk, I will present a proof that extremal black holes arise on the critical...

Oct
21
2024

Joint IAS/PU Analysis Seminar

Minimizers in Gamow's Liquid Drop Model
Otis Chodosh
4:30pm|314 Fine Hall

Gamow introduced the liquid drop model in 1928 as a model for the nucleus. I will discuss some recent work (with Ian Ruohoniemi) concerning roundness of minimizers. 

Dec
02
2024

Joint IAS/PU Analysis Seminar

Recent Progress On Mean Curvature Flow
Bruce Kleiner
3:15pm|Simonyi Hall 101 and Remote Access

An evolving surface is a mean curvature flow if the normal component of its velocity field is given by the mean curvature. First introduced in the physics literature in the 1950s, the mean curvature flow equation has been studied intensely by...

Dec
02
2024

Joint IAS/PU Analysis Seminar

Quantum Tunneling and Its Absence in Deep Wells and Strong Magnetic Fields
Jacob Shapiro
4:30pm|Simonyi Hall 101 and Remote Access

New results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field are presented. This includes a family of double well potentials containing examples for which the low-energy eigenvalue splitting...

Mar
17
2025

Joint IAS/PU Analysis Seminar

The Viscous Inflow Boundary Condition For Channel Flows
Yan Guo
3:00pm|314 Fine Hall

The lateral periodic condition has been imposed canonically and investigated extensively in the study of a channel flow, which unfortunately is not compatible with either the celebrated Reynolds' experiment or the self-similar Blasius boundary layer...

Mar
17
2025

Joint IAS/PU Analysis Seminar

Control of Eigenfunctions on Negatively Curved Manifolds
Semyon Dyatlov
4:30pm|314 Fine Hall

Semiclassical measures are a standard object studied in quantum chaos, capturing macroscopic behavior of sequences of eigenfunctions in the high energy limit. They have a long history of study going back to the Quantum Ergodicity theorem and the...

Apr
21
2025

Joint IAS/PU Analysis Seminar

Non-Uniqueness and Flexibility in Two-Dimensional Euler Equations
Elia Bruè
3:30pm|Simonyi Hall 101 and Remote Access

In 1962, Yudovich established the well-posedness of the two-dimensional incompressible Euler equations for solutions with bounded vorticity. However, uniqueness within the broader class of solutions with L^p vorticity remains a key unresolved...