Riemannian circle

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

Some identities involving the Riemann-Zeta function.

After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

Curvature of a Riemannian Manifold | Riemannian Geometry

In this lecture, we define the exponential mapping, the Riemannian curvature tensor, Ricci curvature tensor, and scalar curvature. The focus is on an intuitive explanation of the curvature tensors. The curvature tensor of a Riemannian metric is a very large stumbling block for many student

From playlist All Videos

More identities involving the Riemann-Zeta function!

By applying some combinatorial tricks to an identity from https://youtu.be/2W2Ghi9idxM we are able to derive two identities involving the Riemann-Zeta function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1

I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela

From playlist Calculus

Quickly fill in the unit circle by understanding reference angles and quadrants

👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0

From playlist Trigonometric Functions and The Unit Circle

Understanding and computing the Riemann zeta function

In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f

From playlist Programming

How to find the point on the unit circle from the given real number

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

Learn how to find the point of the unit circle when given a specific angle

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

Hyperbolic geometry, Fuchsian groups and moduli spaces (Lecture 1) by Subhojoy Gupta

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi

From playlist Geometry and Topology for Lecturers

Spectra of metric graphs and crystalline measures - Peter Sarnak

Members' Seminar Topic: Spectra of metric graphs and crystalline measures Speaker: Peter Sarnak Affiliation: Professor, School of Mathematics Date: February 10, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Ricci Flow - Numberphile

More links & stuff in full description below ↓↓↓ Ricci Flow was used to finally crack the Poincaré Conjecture. It was devised by Richard Hamilton but famously employed by Grigori Perelman in his acclaimed proof. It is named after mathematician Gregorio Ricci-Curbastro. In this video it i

From playlist Numberphile Videos

Boundary regularity for area minimizing currents and a question of Almgren - Camillo De Lellis

Workshop on Mean Curvature and Regularity Topic: Boundary regularity for area minimizing currents and a question of Almgren Speaker: Camillo De Lellis Affiliation: Professor, School of Mathematics Date: November 6, 2018 For more video please visit http://video.ias.edu

From playlist Workshop on Mean Curvature and Regularity

[BOURBAKI 2019] Higher rank Teichmüller theories - Pozzetti - 30/03/19

Beatrice POZZETTI Higher rank Teichmüller theories Let Γ be the fundamental group of a compact surface S with negative Euler characteristic, and G denote PSL(2, R), the group of isometries of the hyperbolic plane. Goldman observed that the Teichmüller space, the parameter space of marked

From playlist BOURBAKI - 2019

Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms - Gerard Misiolek

Gerard Misiolek University of Notre Dame; Institute for Advanced Study October 19, 2011 In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geome

From playlist Mathematics

C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1 (version temporaire)

We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Riemannian Geometry - Definition: Oxford Mathematics 4th Year Student Lecture

Riemannian Geometry is the study of curved spaces. It is a powerful tool for taking local information to deduce global results, with applications across diverse areas including topology, group theory, analysis, general relativity and string theory. In these two introductory lectures

From playlist Oxford Mathematics Student Lectures - Riemannian Geometry

What is Mathematics, Really? #SoME2

"What is mathematics?" and "What do mathematicians do?" Mathematics seems daunting or deeply nerdy. In my view, it's another way to look at the world, the same as art or science. Let's do some mathematics ourselves, speeding through the process from asking a question to telling others what

From playlist Summer of Math Exposition 2 videos

Determining where a point is on the unit circle

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

IGA: Rigidity of Riemannian embeddings of discrete metric spaces - Matan Eilat

Abstract: Let M be a complete, connected Riemannian surface and suppose that S is a discrete subset of M. What can we learn about M from the knowledge of all distances in the surface between pairs of points of S? We prove that if the distances in S correspond to the distances in a 2-dimens

From playlist Informal Geometric Analysis Seminar