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
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What is the difference between convex and concave polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Colloquium MathAlp 2016 - Vincent Vargas
La théorie conforme des champs de Liouville en dimension 2 La théorie conforme des champs de Liouville fut introduite en 1981 par le physicien Polyakov dans le cadre de sa théorie des sommations sur les surfaces de Riemann. Bien que la théorie de Liouville est très étudiée dans le context
From playlist Colloquiums MathAlp
What is the difference between concave and convex polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Jason Miller - 3/4 Equivalence of Liouville quantum gravity and the Brownian map
Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho
From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map
Jason Miller - 4/4 Equivalence of Liouville quantum gravity and the Brownian map
Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho
From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map
Jason Miller - 2/4 Equivalence of Liouville quantum gravity and the Brownian map
Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho
From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map
Jason Miller - 1/4 Equivalence of Liouville quantum gravity and the Brownian map
Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics. We sho
From playlist Jason Miller - Equivalence of Liouville quantum gravity and the Brownian map
A Tour Of The Lagrange Points. Part 1 - Past And Future Missions To L1
Thanks to gravity, there are places across the Solar System which are nicely balanced. They’re called Lagrange Points and they give us the perfect vantage points for a range of spacecraft missions, from observing the Sun to studying asteroids, and more. Various spacecraft have already vis
From playlist Guide to Space
What are four types of polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Determine if a polygon is concave or convex ex 2
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Weyl Law in Liouville Quantum Gravity - Nathanaël Berestycki
Probability Seminar Topic: Weyl Law in Liouville Quantum Gravity Speaker: Nathanaël Berestycki Affiliation: University of Vienna Date: February 3, 2023 Can you hear the shape of LQG? We obtain a Weyl law for the eigenvalues of Liouville Brownian motion: the n-th eigenvalue grows linearly
From playlist Mathematics
Liouville quantum gravity as a metric space and a scaling limit – Jason Miller – ICM2018
Probability and Statistics Invited Lecture 12.1 Liouville quantum gravity as a metric space and a scaling limit Jason Miller Abstract: Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which h
From playlist Probability and Statistics
2021's Biggest Breakthroughs in Math and Computer Science
It was a big year. Researchers found a way to idealize deep neural networks using kernel machines—an important step toward opening these black boxes. There were major developments toward an answer about the nature of infinity. And a mathematician finally managed to model quantum gravity. R
From playlist Discoveries
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 Îł-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (
From playlist Mathematics
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory -Rhodes, Vargas
Mathematical Physics Seminar Topic: Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory Speakers: Rémi Rhodes; Vincent Vargas Affiliation: Université Aix-Marseille; École Normale Supérieure Date: May 04, 2022 Liouville field theory was introduced by Polya
From playlist Mathematics