In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop (1995) extended the invariant to all closed oriented 3-manifolds. (Wikipedia).
SU(n)–Casson invariants and symplectic geometry - Shaoyun Bai
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: SU(n)–Casson invariants and symplectic geometry Speaker: Shaoyun Bai Affiliation: Princeton Date: March 26, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lorentz Covariance VS Lorentz Invariance: What's the Difference? | Special Relativity
In special relativity, Lorentz covariance and Lorentz invariance are two very important concepts. But what exactly are these concepts? In this video, we will find out! Contents: 00:00 Definitions 00:51 Examples If you want to help us get rid of ads on YouTube, you can support us on Patr
From playlist Special Relativity, General Relativity
An introduction to Invariant Theory - Harm Derksen
Optimization, Complexity and Invariant Theory Topic: An introduction to Invariant Theory Speaker: Harm Derksen Affiliation: University of Michigan Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Unlinked fixed points of Hamiltonian...spectral invariants - Sobhan Seyfaddini
Sobhan Seyfaddini Massachusetts Institute of Technology April 17, 2015 Hamiltonian spectral invariants have had many interesting and important applications in symplectic geometry. Inspired by Le Calvez's theory of transverse foliations for dynamical systems of surfaces, we introduce a new
From playlist Mathematics
Yi Xie - Surgery, Polygons and Instanton Floer homology
June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Many classical numerical invariants (including Casson invariant, Alexander polynomial and Jones polynomial) for 3-manifolds or links satisfy surgery fo
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Emily Stark: The visual boundary of hyperbolic free-by-cyclic groups
Abstract: Given an automorphism of the free group, we consider the mapping torus defined with respect to the automorphism. If the automorphism is atoroidal, then the resulting free-by-cyclic group is hyperbolic by work of Brinkmann. In addition, if the automorphism is fully irreducible, th
From playlist Topology
Symmetry in Physics | Noether's theorem
▶ Topics ◀ Global / Local Symmetries, Continuous / Discrete Symmetries ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on
From playlist Symmetry
Jack Calcut: Mazur and Jester 4-manifolds
Jack Calcut, Oberlin College Title: Mazur and Jester 4-manifolds Mazur and Po{\'e}naru constructed the first compact, contractible manifolds distinct from disks. More recently, Sparks modified Mazur's construction and defined Jester manifolds. Sparks used Jester manifolds to produce compac
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Graduate Conservation Internships and Fellowships and Teaching Undergraduate Courses at Yale
Ian McClure (moderator), Yale University Art Gallery, New Haven, USA Graduate conservation internships and fellowships and teaching undergraduate courses at Yale. Presented at the UN Global Colloquium of University Presidents at Yale University held on April 12, 2016. The colloquium pres
From playlist The Role of Universities and our Cultural Heritage: Education and Training
Behavior of Welschinger Invariants Under Morse Simplification - Erwan Brugalle
Erwan Brugalle Universite de Paris 6 November 9, 2012 Welschinger invariants, real analogs of genus 0 Gromov-Witten invariants, provide non-trivial lower bounds in real algebraic geometry. In this talk I will explain how to get some wall-crossing formulas relating Welschinger invariants o
From playlist Mathematics
Jeff Erickson - Lecture 5 - Two-dimensional computational topology - 22/06/18
School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 4 Abstract: This series of lectures will describe recent
From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
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
It’s perfectly normal to feel weak, lost, and unable to cope. Here is a collection of thoughts to remind us of our inner reserves of resilience. Sign up to our mailing list to receive 10% off your first order with us: https://r1.dotdigital-pages.com/p/6TU0-63X/hellotsol If you want to kee
From playlist SELF
Contact invariants in sutured monopole and instanton homology - Steven Sivek
Steven Sivek University of Warwick March 5, 2014 Kronheimer and Mrowka recently used monopole Floer homology to define an invariant of sutured manifolds, following work of Juhász in Heegaard Floer homology. In this talk, I will construct an invariant of a contact structure on a 3-manifold
From playlist Mathematics
Subscribe to BrainCraft! http://ow.ly/rt5IE More Microbe Week videos! (Click "show more" for links) Gross Science: What Really Causes Cavities? https://youtu.be/WU05zZJKSdE AMNH: https://www.youtube.com/watch?v=mTdeZU_8cLI Science Friday: Your Very Special Bacterial Cloud https://youtu.be
From playlist Science in Stop-Motion
Veering Dehn surgery - Saul Schleimer
Geometric Structures on 3-manifolds Topic: Veering Dehn surgery Speaker: Saul Schleimer Date: Tuesday, April 12 (Joint with Henry Segerman.) It is a theorem of Moise that every three-manifold admits a triangulation, and thus infinitely many. Thus, it can be difficult to learn anything
From playlist Mathematics
Bertrand Eynard - An overview of the topological recursion
The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$
From playlist Physique mathématique des nombres de Hurwitz pour débutants
How Can Moms Successfully Re-enter the Workplace?
Can moms or moms-to-be make a successful return to the workplace? Cheryl Casone, Fox Business Network anchor and author of “The Comeback," joins Lunch Break and discusses how women should approach their maternity leave, and whether they should downplay motherhood when applying for jobs. P
From playlist The Search