Lie derivatives of differential forms
Introduces the lie derivative, and its action on differential forms. This is applied to symplectic geometry, with proof that the lie derivative of the symplectic form along a Hamiltonian vector field is zero. This is really an application of the wonderfully named "Cartan's magic formula"
From playlist Symplectic geometry and mechanics
Exploring Symplectic Embeddings and Symplectic Capacities
Speakers o Alex Gajewski o Eli Goldin o Jakwanul Safin o Junhui Zhang Project Leader: Kyler Siegel Abstract: Given a domain (e.g. a ball) in Euclidean space, we can ask what is its volume. We can also ask when one domain can be embedded into another one without distorting volumes. These
From playlist 2019 Summer REU Presentations
Zack Sylvan - Doubling stops & spherical swaps
June 28, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Symplectic forms in algebraic geometry - Giulia Saccà
Giulia Saccà Member, School of Mathematics January 30, 2015 Imposing the existence of a holomorphic symplectic form on a projective algebraic variety is a very strong condition. After describing various instances of this phenomenon (among which is the fact that so few examples are known!)
From playlist Mathematics
Systolic inequalities - Alexey Balitskiy
Short Talks by Postdoctoral Members Topic: Systolic inequalities Speaker: Alexey Balitskiy Affiliation: Member, School of Mathematics Date: September 28, 2022
From playlist Mathematics
Symplectic homology via Gromov-Witten theory - Luis Diogo
Luis Diogo Columbia University February 13, 2015 Symplectic homology is a very useful tool in symplectic topology, but it can be hard to compute explicitly. We will describe a procedure for computing symplectic homology using counts of pseudo-holomorphic spheres. These counts can sometime
From playlist Mathematics
Constructions in symplectic and contact topology via h-principles - Oleg Lazarev
More videos on http://video.ias.edu
From playlist Mathematics
Bertuel Tangue Ndawa: Infinite Lifting of Actions of Symplectomorphisms on Bi-Lagrangian Structures
Bertuel Tangue Ndawa, University of Ngaoundere Title: Infinite Lifting of an Action of Symplectomorphism Group on the Set of Bi-Lagrangian Structures We consider a smooth $2n$-manifold $M$ endowed with a bi-Lagrangian structure $(\omega,\mathcal{F}_{1},\mathcal{F}_{2})$. That is, $\omega$
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Viterbo‘s conjecture for Lagrangian products in ℝ4 - Daniel Rudolf
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20-minute research talks Topic: Viterbo‘s conjecture for Lagrangian products in ℝ4 Speaker: Daniel Rudolf Affiliation: Ruhr-Universität Bochum Date: May 27, 2022 We show that Viterbo‘s conjecture (for the EHZ
From playlist Mathematics
Localization and flexibilization in symplectic geometry - Oleg Lazarev
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Localization and flexibilization in symplectic geometry Speaker: Oleg Lazarev Affiliation: University of Massachusetts, Boston Date: December 13, 2021 Localization is an important construction in algebra and topology that
From playlist PU/IAS Symplectic Geometry Seminar
Lagrangians, symplectomorphisms and zeroes of moment maps - Yann Rollin
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Lagrangians, symplectomorphisms and zeroes of moment maps Speaker: Yann Rollin Affiliation: Nantes University Date: April 08, 2022 I will present two constructions of Kähler manifolds, endowed with Hamiltonia
From playlist Mathematics
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
Winter School JTP: Introduction to Fukaya categories, James Pascaleff, Lecture 1
This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Keller’s course on A∞ categories. Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions;
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Symplectic topology and the loop space - Jingyu Zhao
Topic: Symplectic topology and the loop space Speaker: Jingyu Zhao, Member, School of Mathematics Time/Room: 4:45pm - 5:00pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
Inverting primes in Weinstein geometry - Oleg Lazarev
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Inverting primes in Weinstein geometry Speaker: Oleg Lazarev Affiliation: Harvard University Date: March 12, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
3D convex contact forms and the Ruelle invariant - Oliver Edtmair
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: 3D convex contact forms and the Ruelle invariant Speaker: Oliver Edtmair Affiliation: Berkeley Date: January 29, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Obsructions to Symplectic Embeddings
Speakers; C.Huangdai(Basic Background, Definitions, 4-D Symplectic manifold, , Symplectomorphisms and Symplectic Embeddings, Results). T.Coyne(What fits in what, Rigidity in Symplectic Geometry, Symplectic Capacities, Flexibility of Symplectic Embeddings, ECH Capacities, Polydisks into a
From playlist 2017 Summer REU Presentations
On symplectomorphism groups of some Milnor fibres - Ailsa Keating
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker: Ailsa Keating Title: On symplectomorphism groups of some Milnor fibres Affiliation: IAS Date: November 7, 2016 For more video, visit http://video.ias.edu
From playlist Workshop on Homological Mirror Symmetry: Methods and Structures
Function Symmetry (3 of 4: Combining symmetries)
More resources available at www.misterwootube.com
From playlist Working with Functions
Algebraic torus actions on Fukaya categories - Yusuf Barış Kartal
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Algebraic torus actions on Fukaya categories and tameness of change in Floer homology under symplectic isotopies Speaker: Yusuf Barış Kartal Affiliation: Princeton University Date: February 05, 2021 For more video pl
From playlist Mathematics