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
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
Constructions in symplectic and contact topology via h-principles - Oleg Lazarev
More videos on http://video.ias.edu
From playlist Mathematics
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
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
How to Find Periodic Orbits and Exotic Symplectic Manifolds - Mark McLean
Mark McLean Massachusetts Institute of Technology; Member, School of Mathematics October 15, 2012 I will give an introduction to symplectic geometry and Hamiltonian systems and then introduce an invariant called symplectic cohomology. This has many applications in symplectic geometry and
From playlist Mathematics
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
The h-principle in symplectic geometry - Emmy Murphy
Members' Seminar Topic: The h-principle in symplectic geometry Speaker: Emmy Murphy Affiliation: Northwestern University; von Neumann Fellow, School of Mathematics Date: December 9, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Which manifolds are symplectic? - Yakov Eliashberg
Members’ Colloquium Topic: Which manifolds are symplectic? Speaker: Yakov Eliashberg Affiliation: Stanford University; Member, School of Mathematics Date: November 08, 2021 The question in the title was one of the founding questions in symplectic topology 40 years ago, and despite a lot
From playlist Mathematics
A tale of two conjectures: from Mahler to Viterbo - Yaron Ostrover
Members' Seminar Topic: A tale of two conjectures: from Mahler to Viterbo. Speaker: Yaron Ostrover Affiliation: Tel Aviv University, von Neumann Fellow, School of Mathematics Date: November 19, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Filiz Dogru: Outer Billiards: A Comparison Between Affine, Hyperbolic, and Symplectic Geometry
Filiz Dogru, Grand Valley State University Title: Outer Billiards: A Comparison Between Affine Geometry, Hyperbolic Geometry, and Symplectic Geometry Outer billiards appeared first as an entertainment question. Its popularity increased after J. Moser’s description as a crude model of the p
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Ben Webster - Representation theory of symplectic singularities
Research lecture at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Symplectic topology and critical points of complex-valued functions - Sheel Ganatra
Topic: Symplectic topology and critical points of complex-valued functions Speaker: Sheel Ganatra, Member, School of Mathematics Time/Room: 2:30pm - 2:45pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry
Act globally, compute...points and localization - Tara Holm
Tara Holm Cornell University; von Neumann Fellow, School of Mathematics October 20, 2014 Localization is a topological technique that allows us to make global equivariant computations in terms of local data at the fixed points. For example, we may compute a global integral by summing inte
From playlist Mathematics
Rigidity and recurrence in symplectic dynamics - Matthias Schwarz
Members’ Seminar Topic: Rigidity and recurrence in symplectic dynamics Speaker: Matthias Schwarz, Universität Leipzig; Member, School of Mathematics Date: December 11, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lectures on Homological Mirror Symmetry II - Sheridan Nick
Lectures on Homological Mirror Symmetry Sheridan Nick Institute for Advanced Study; Member, School of Mathematics November 4, 2013
From playlist Mathematics
Abstract Analogues of Flux as Symplectic Invariants - Paul Seidel
Paul Seidel Massachusetts Institute of Technology November 16, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Gysin sequences and cohomology ring of symplectic fillings - Zhengyi Zhou
More videos on http://video.ias.edu
From playlist Mathematics
Stability conditions in symplectic topology – Ivan Smith – ICM2018
Geometry Invited Lecture 5.8 Stability conditions in symplectic topology Ivan Smith Abstract: We discuss potential (largely speculative) applications of Bridgeland’s theory of stability conditions to symplectic mapping class groups. ICM 2018 – International Congress of Mathematicians
From playlist Geometry