Theorems in analysis | Complex analysis | Riemann surfaces

Conformal welding

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).

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Conformal Geometry Processing

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

From playlist Tutorials and Lectures

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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

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Rod Gover - An introduction to conformal geometry and tractor calculus (Part 4)

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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

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Rod Gover - An introduction to conformal geometry and tractor calculus (Part 1)

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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

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Conformal geometry processing

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

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Rod Gover - An introduction to conformal geometry and tractor calculus (Part 2)

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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

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Conformal Field Theory (CFT) | More on Infinitesimal Conformal Transformations

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From playlist Particle Physics

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Rod Gover - An introduction to conformal geometry and tractor calculus (Part 3)

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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

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Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far

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From playlist Virtual Conference

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Gaussian multiplicative chaos: applications and recent developments - Nina Holden

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From playlist Mathematics

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From playlist #4 MACHINE SHOP TIPS tubalcain playlist #301 thru #400

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From playlist The Large Hadron Collider

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Yilin Wang - 4/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

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From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory

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From playlist Mathematics

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The Liouville conformal field theory quantum zipper - Morris Ang

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From playlist Mathematics

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Lecture 14: The Definition of TC

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From playlist Topological Cyclic Homology

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From playlist Model Articulated Action Figurine For 3D Printing

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