Surface (topology)

MATH331: Riemann Surfaces - part 1

We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.

From playlist The Riemann Sphere

Vector field around a surface

From playlist Surface integrals

Group Actions and Group Representations in Low Dimensional Topology

Speakers; Anda Tenie Iris Rosenblum-Sellers Destine Lee Jakwanul Safin Group leader: Nick Salter (Faculty). Graduate Student Assistant: Maithreya Sitaraman. The classification of surfaces theorem can give the misleading impression that the topology of surfaces is a finished project. W

From playlist 2020 Summer REU Presentations

Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b

From playlist Topology

Homotopy animation

An interesting homotopy (in fact, an ambient isotopy) of two surfaces.

From playlist Algebraic Topology

Transform from parameter space to parametric surface

From playlist Surface integrals

Three dimensional vector field

From playlist Surface integrals

Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Two-dimensional objects--the torus and genus | Algebraic Topology 5 | NJ Wildberger

This is the 5th lecture of this beginners course in Algebraic Topology. We introduce some other surfaces: the cylinder, the torus or doughnut, and the n-holed torus. We define the genus of a surface in terms of maximal number of disjoint curves that do not disconnect it. We discuss how the

From playlist Algebraic Topology

Geometry of Surfaces - Topological Surfaces Lecture 1 : Oxford Mathematics 3rd Year Student Lecture

This is the first of four lectures from Dominic Joyce's 3rd Year Geometry of Surfaces course. The four lectures cover topological surfaces and conclude with a big result, namely the classification of surfaces. This lecture provides an introduction to the course and to topological surfaces.

From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces

Zohar KOMARGODSKI - Anomalies: New Structures and Applications

From playlist Integrability, Anomalies and Quantum Field Theory

Topological Surface States in Topological Insulators, Superconductors and Beyond - M. Zahid Hasan

DISCUSSION MEETING : ADVANCES IN GRAPHENE, MAJORANA FERMIONS, QUANTUM COMPUTATION DATES Wednesday 19 Dec, 2012 - Friday 21 Dec, 2012 VENUE Auditorium, New Physical Sciences Building, IISc Quantum computation is one of the most fundamental and important research topics today, from both th

From playlist Advances in Graphene, Majorana fermions, Quantum computation

There's a Donut in the Wallpaper: Topology, Symmetry, and Conway's Magic Theorem

Made for the 3Blue1Brown Summer of Math Exploration

From playlist Summer of Math Exposition Youtube Videos

Antoine Song - Spherical Plateau problem and applications

I will discuss an area minimization problem in certain quotients of the Hilbert sphere by countable groups. An early version of that setting appears in Besson-Courtois-Gallot’s work on the entropy inequality. As an application of this minimization problem, we obtain some stability results.

From playlist Not Only Scalar Curvature Seminar

Cannon–Thurston maps – Mahan Mj – ICM2018

Geometry Invited Lecture 5.9 Cannon–Thurston maps Mahan Mj Abstract: We give an overview of the theory of Cannon–Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic sub

From playlist Geometry

Geometry of Surfaces - Topological Surfaces Lecture 2 : Oxford Mathematics 3rd Year Student Lecture

This is the second of four lectures from Dominic Joyce's 3rd Year Geometry of Surfaces course. The four lectures cover topological surfaces and conclude with a big result, namely the classification of surfaces. This lectures covers building topological surfaces by gluing sides of polygons.

From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces

Automorphisms of K3 surfaces – Serge Cantat – ICM2018

Dynamical Systems and Ordinary Differential Equations | Algebraic and Complex Geometry Invited Lecture 9.13 | 4.12 Automorphisms of K3 surfaces Serge Cantat Abstract: Holomorphic diffeomorphisms of K3 surfaces have nice dynamical properties. I will survey the main theorems concerning the

From playlist Algebraic & Complex Geometry

MagLab Theory Winter School 2019: Jennifer Cano "Topo Quantum Chem"

Topic: Topological quantum chemistry: Theory The National MagLab held it's seventh Theory Winter School in Tallahassee, FL from January 7th - 11th, 2019.

From playlist 2019 Theory Winter School

What is a closed set ?

I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla

From playlist Topology

Metamaterials and Topological Mechanics (Lecture - 01) by Tom Lubensky

Infosys-ICTS Chandrasekhar Lectures Metamaterials and Topological Mechanics Speaker: Tom Lubensky (University of Pennsylvania, Pennsylvania) Date: 24 June 2019, 16:00 to 18:00 Venue: Ramanujan lecture hall, ICTS campus Lecture 1 : Metamaterials and Topological Mechanics Date & Time

From playlist Infosys-ICTS Chandrasekhar Lectures