Theorems in analysis | Complex analysis | Riemann surfaces
In mathematics, conformal welding (sewing or gluing) is a process in geometric function theory for producing a Riemann surface by joining together two Riemann surfaces, each with a disk removed, along their boundary circles. This problem can be reduced to that of finding univalent holomorphic maps f, g of the unit disk and its complement into the extended complex plane, both admitting continuous extensions to the closure of their domains, such that the images are complementary Jordan domains and such that on the unit circle they differ by a given quasisymmetric homeomorphism. Several proofs are known using a variety of techniques, including the Beltrami equation, the Hilbert transform on the circle and elementary approximation techniques. describe the first two methods of conformal welding as well as providing numerical computations and applications to the analysis of shapes in the plane. (Wikipedia).
Symposium on Geometry Processing 2017 Graduate School Lecture by Keenan Crane https://www.cs.cmu.edu/~kmcrane/ http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry Digital geometry processing is the natural extension of traditional signal processing to three-dimensi
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Conformal Field Theory (CFT) | Infinitesimal Conformal Transformations
Conformal field theories are used in many areas of physics, from condensed matter physics, to statistical physics to string theory. They are defined as quantum field theories that are invariant under so-called conformal transformations. In this video, we will investigate these conformal tr
From playlist Particle Physics
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 4)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 1)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
SGP2018 Graduate School | July 7-11 | Paris, France Speaker: Keenan Crane, Carnegie Mellon University Abstract: Digital geometry processing is the natural extension of traditional signal processing to three-dimensional geometric data. In recent years, methods based on so-called conformal
From playlist Tutorials and Lectures
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 2)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Conformal Field Theory (CFT) | More on Infinitesimal Conformal Transformations
Conformal field theories are quantum field theories that are invariant under so-called conformal transformations. In this video, we will investigate these conformal transformations in three or more dimensions. More information and details can be found in the excellent book "Introduction
From playlist Particle Physics
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 3)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
Gaussian multiplicative chaos: applications and recent developments - Nina Holden
50 Years of Number Theory and Random Matrix Theory Conference Topic: Gaussian multiplicative chaos: applications and recent developments Speaker: Nina Holden Affiliation: ETH Zurich Date: June 22, 2022 I will give an introduction to Gaussian multiplicative chaos and some of its applicati
From playlist Mathematics
Making a Belt Guard for a South Bend 9" Lathe 307 Pt 2 tubalcain
This is part 2 of a 3 part video, I fabricate am OSHA approved belt Guard for a SOUTH BEND 9" Model A lathe. I have many videos regarding SB lathes. Here are a few that are particularly applicable to this video. Making a Belt Guard for a South Bend 9" Lathe 306 Pt 1 tubalcain CLEANING TH
From playlist #4 MACHINE SHOP TIPS tubalcain playlist #301 thru #400
LS1 two years on (WARNING: flashing images)
It's almost two years to the day since CERN’s first long shutdown (LS1) began. At 7.24am on 14 February 2013, the team in the CERN Control Centre switched off the beams in the Large Hadron Collider (LHC), marking the end of the accelerator's first three-year run. Hundreds of engineers and
From playlist The Large Hadron Collider
Yilin Wang - 4/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)
The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is
From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory
Conformal removability of non-simple Schramm-Loewner evolutions - Konstantinos Kavvadias
Probability Seminar Topic: Conformal removability of non-simple Schramm-Loewner evolutions Speaker: Konstantinos Kavvadias Affiliation: Tata Institute of Fundamental Research Date: April 07, 2023 We consider the Schramm-Loewner evolution (SLE_{kappa}) for kappa in (4,8), which is the re
From playlist Mathematics
The Liouville conformal field theory quantum zipper - Morris Ang
Probability Seminar Topic: The Liouville conformal field theory quantum zipper Speaker: Morris Ang Affiliation: Columbia University Date: February 17, 2023 Sheffield showed that conformally welding a γ-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (
From playlist Mathematics
From playlist Plenary talks One World Symposium 2020
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From playlist Contributed talks One World Symposium 2020
Lecture 14: The Definition of TC
In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic
From playlist Topological Cyclic Homology
How To Model Articulated Action Figurine For 3D Printing | Session 04 | #gamedev
Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu
From playlist Model Articulated Action Figurine For 3D Printing