Systoles of surfaces

Light and Optics 5_1 Refractive Surfaces

The bending of light rays at the interface of refracting surfaces.

From playlist Physics - Light and Optics

Air bubbles sink and steel spheres rise in an unusual fluid

Counterintuitive effect occurs in mixtures with both liquid and solid properties. Learn more: http://bit.ly/2gSTqfL

From playlist Materials and technology

Transform from parameter space to parametric surface

From playlist Surface integrals

Light and Optics 5_2 Refractive Surfaces

Problems involving refractive surfaces.

From playlist Physics - Light and Optics

Surface Area of Prisms and Pyramids

This video is about finding the Surface Area of Prisms and Pyramids

From playlist Surface Area and Volume

Vector field around a surface

From playlist Surface integrals

Flow through a single piece of area

From playlist Surface integrals

Waves 3_4 Interference

Intensity and sound levels.

From playlist Physics - Waves

C. Judge - Systoles in translation surfaces

I will discuss joint work with Hugo Parlier concerning the shortest noncontractible loops—’systoles’—in a translation surface. In particular, we provide estimates (some sharp) on the number of systoles (up to homotopy) in the strata H(2g-2) and the stratum H(1,1). We also determine the ma

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Metaphors in Systolic Geometry - Larry Guth

Larry Guth University of Toronto; Institute for Advanced Study October 18, 2010 The systolic inequality says that if we take any metric on an n-dimensional torus with volume 1, then we can find a non-contractible curve in the torus with length at most C(n). A remarkable feature of the ine

From playlist Mathematics

Orbifolds and Systolic Inequalities - Christian Lange

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Orbifolds and Systolic Inequalities Speaker: Christian Lange Affiliation: Mathematisches Institut der Universität München Date: January 13, 2023 In this talk, I will first discuss some instances in which orbi

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

Blob in a vector field

From playlist Surface integrals

Lizhi Chen - Topological complexity of manifolds via systolic geometry

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Lizhi Chen, Lanzhou University Title: Topological complexity of manifolds via systolic geometry Abstract: We discuss homology and homotopy complexity of manifolds in terms of Gromov’s systolic inequality. The optimal const

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

Daniel Massart: Algebraic intersection on translation surfaces

CIRM HYBRID EVENT Recorded during the meeting "Teichmüller Theory: Classical, Higher, Super and Quantum " the October 09, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide ma

From playlist Dynamical Systems and Ordinary Differential Equations

Lizhi Chen: Triangulation Complexity of Hyperbolic Manifolds and Asymptotic Geometry

Lizhi Chen, Lanzhou University Title: Triangulation Complexity of Hyperbolic Manifolds and Asymptotic Geometry The triangulation complexity is related to volume of hyperbolic manifolds via simplicial volume. On the other hand, Gromov showed that simplicial volume is related to topological

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Symplectic methods for sharp systolic inequalities - Umberto Hryniewicz

Variational Methods in Geometry Seminar Topic: Symplectic methods for sharp systolic inequalities Speaker: Umberto Hryniewicz Affiliation: Universidade Federal do Rio de Janeiro; Member, School of Mathematics Date: January 22, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

Arnaud de mesmay: Discrete systolic geometry and decompositions of triangulated surfaces

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Geometry

Results on abundance of global surfaces of section - Umberto Hryniewicz

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Results on abundance of global surfaces of section Umberto Hryniewicz Date: October 15, 2021

From playlist Mathematics

Volume of Rectangular Prisms

This video is about Volume of Rectangular Prisms

From playlist Surface Area and Volume