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
Microlocal category for a closed symplectic manifold II - Dmitry Tamarkin
Dmitry Tamarkin Northwestern May 11, 2011 For more videos, visit 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
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
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
Constructions in symplectic and contact topology via h-principles - Oleg Lazarev
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
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
How to Construct Topological Invariants via Decompositions and the Symplectic Category - Wehrheim
Katrin Wehrheim Massachusetts Institute of Technology; Institute for Advanced Study October 17, 2011 A Lagrangian correspondence is a Lagrangian submanifold in the product of two symplectic manifolds. This generalizes the notion of a symplectomorphism and was introduced by Weinstein in an
From playlist Mathematics
Intermediate Symplectic Capacities - Alvaro Pelayo
Alvaro Pelayo Washington University; Member, School of Mathematics March 1, 2013 In 1985 Misha Gromov proved his Nonsqueezing Theorem, and hence constructed the first symplectic 1-capacity. In 1989 Helmut Hofer asked whether symplectic d-capacities exist if 1 greater than d greater than n.
From playlist Mathematics
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
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
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
Fukaya categories and variation of symplectic form - Chris Woodward
I hope to talk more about how to find generators for Fukaya categories using symplectic version of the minimal model program in examples such as symplectic quotients of products of spheres and moduli spaces of parabolic bundles. More videos on http://video.ias.edu
From playlist Mathematics
Homological mirror symmetry and symplectic mapping class groups - Nicholas Sheridan
Members' Seminar Topic: Homological mirror symmetry and symplectic mapping class groups Speaker: Nicholas Sheridan Affiliation: Princeton University; Member, School of Mathematics For more videos, visit http://video.ias.edu
From playlist Mathematics
Structures in the Floer theory of Symplectic Lie Groupoids - James Pascaleff
Symplectic Dynamics/Geometry Seminar Topic: Structures in the Floer theory of Symplectic Lie Groupoids Speaker: James Pascaleff Affiliation: University of Illinois, Urbana-Champaign Date: October 15, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Localizing the Fukaya category of a Weinstein manifold - Ganatra
Workshop on Homological Mirror Symatry: Methods and Structures Speaker:Sheel Ganatra Title: Localizing the Fukaya category of a Weinstein manifold Affiliation: IAS Date: November 10, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
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
The Relative Fukaya Category, Symplectic and Quantum Cohomology - Nicolas Sheridan
Nicolas Sheridan Massachusetts Institute of Technology; Member, School of Mathematics October 3, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics