Teach Astronomy - Landscape of Mars
http://www.teachastronomy.com/ Mars has richly varied surface features. There are rocky planes, gullies, riverbeds, smooth sea bed floors, sand dunes. There are dust storms that encompass large fractions of the planet's surface during certain seasons. There are huge gullies and crevasse
From playlist 09. Outer Planets and Planetary Atmospheres
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
Lagrange multipliers: 2 constraints
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to apply the method of Lagrange multipliers where two contraints are involved.
From playlist Lagrange multipliers
Breathtaking New Images of the MOON
Buzz Aldrin described the "Magnificent Desolation" of the lunar surface. Rarely do those words ring as true as in these recent images from the Lunar Reconnaissance Orbiter. Revel in the detail of these images, and the severity of the Lunar surface, then be thankful you're relaxing on a gre
From playlist Earth And Its Moon
Alessandra Sarti : Automorphisms of Hyperkähler manifolds - Part 2
Abstract: In the 80's Beauville generalized several foundational results of Nikulin on automorphism groups of K3 surfaces to hyperkähler manifolds. Since then the study of automorphism groups of hyperkähler manifolds and in particular of hyperkähler fourfolds got very much attention. I wil
From playlist Algebraic and Complex Geometry
Parametric Surfaces In this video, I give 5 examples of how to parametrize surfaces. This is similar to parametrizing a curve, except that this time you need two variables. This is an important tool for surface integrals, which is a way of integrating a function on a surface. Parametriza
From playlist Vector Calculus
Chow rings and modified diagonals - Kieran O'Grady
Kieran O'Grady Sapienza - Università di Roma; Member, School of Mathematics October 7, 2014 Beauville and Voisin proved that decomposable cycles (intersections of divisors) on a projective K3 surface span a 1-dimensional subspace of the (infinite-dimensional) group of 0-cycles modulo rati
From playlist Mathematics
Beauville's splitting principle for Chow rings of projective hyperkaehler manifolds - Lie Fu
Lie Fu Member, School of Mathematics November 4, 2014 Being the natural generalization of K3 surfaces, hyperkaehler varieties, also known as irreducible holomorphic symplectic varieties, are one of the building blocks of smooth projective varieties with trivial canonical bundle. One of th
From playlist Mathematics
Method of Lagrange multipliers.
Download the free PDF http://tinyurl.com/EngMathYT I discuss a basic example of maximizing / minimizing a function subject to a constraint. The approach involves the method of Lagrange multipliers.
From playlist Lagrange multipliers
Dimers and Beauville Integrable systems by Terrence George
PROGRAM: COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 03) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
C. Voisin - Cubic fourfolds, hyper-Kähler manifolds and their degenerations
There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recently discovered one being the compactified intermediate Jacobian fibrations I constructed with Laza and Sacca. In a joint work with Koll ́ar, Laza and Sacca, we provide an easy way to comput
From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017
Complex surfaces 1: Introduction
This talk is part of a series giving an informal survey of complex algebraic surfaces. We give an overview of the Enriques-Kodaira classification, with examples of most of the different types of surfaces. We conclude by giving an example of a non-algebraic surface: the Hopf surface. Furth
From playlist Algebraic geometry: extra topics
Antonio Rapagnetta: Singular moduli spaces of sheaves on K3 surfaces
The lecture was held within the framework of the Hausdorff Trimester Program: Follow-up Workshop to JTP "Algebraic Geometry" Abstract: By the Bogomolov decomposition theorem, irreducible holomorphic symplectic manifolds play a central role in the classification of compact Kähler manifolds
From playlist Follow-up Workshop to JTP "Algebraic Geometry"
Math 032 Multivariable Calculus 24 112414: Integrals of Functions on Parametrized Surfaces
Surface area of a parametrized surface; integral of a function on a parametrized surface
From playlist Course 4: Multivariable Calculus (Fall 2014)
Non commutative K3 surfaces, with application to Hyperkäler... (Lecture 1) by Emanuele Macri
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
Alessandra Sarti: Automorphisms of Hyperkähler manifolds - Part 3
Abstract: In the 80's Beauville generalized several foundational results of Nikulin on automorphism groups of K3 surfaces to hyperkähler manifolds. Since then the study of automorphism groups of hyperkähler manifolds and in particular of hyperkähler fourfolds got very much attention. I wil
From playlist Algebraic and Complex Geometry
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers