Differential geometry

Bundle gerbe

In mathematics, a bundle gerbe is a geometrical model of certain 1-gerbes with connection, or equivalently of a 2-class in Deligne cohomology. (Wikipedia).

Video thumbnail

What is a Gerbe? part 1

I give the definition of a Gerbe. There objects are going to be used as abstract things that you feed into a deformation obstruction theory. This is my first video converting to this file format. Hopefully it goes well.

From playlist Stacks

Video thumbnail

What is a Manifold? Lesson 12: Fiber Bundles - Formal Description

This is a long lesson, but it is not full of rigorous proofs, it is just a formal definition. Please let me know where the exposition is unclear. I din't quite get through the idea of the structure group of a fiber bundle fully, but I introduced it. The examples in the next lesson will h

From playlist What is a Manifold?

Video thumbnail

Introduction to Fiber Bundles part 1: Definitions

We give the definition of a fiber bundle with fiber F, trivializations and transition maps. This is a really basic stuff that we use a lot. Here are the topics this sets up: *Associated Bundles/Principal Bundles *Reductions of Structure Groups *Steenrod's Theorem *Torsor structure on arith

From playlist Fiber bundles

Video thumbnail

The TRUTH about TENSORS, Part 9: Vector Bundles

In this video we define vector bundles in full abstraction, of which tangent bundles are a special case.

From playlist The TRUTH about TENSORS

Video thumbnail

A Level Biology "The Location and Structure of the Vascular Bundle"

In this video, we look at the location and structure of the vascular bundle. First we explore the vascular bundle in the roots and explain how the structure of the vascular bundle is related to its function. We then look at the vascular bundles in the stem and in the leaves. Image Credits

From playlist A Level Biology "Exchange and Transport in Plants"

Video thumbnail

Moduli Spaces of Principal 2-group Bundles and a Categorification of the Freed.. by Emily Cliff

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

Video thumbnail

Vortices and Generalised Symmetry by Mathew Bullimore

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

Video thumbnail

What is a Tensor? Lesson 16: The metric tensor field

What is a Tensor? Lesson 16: The metric tensor field

From playlist What is a Tensor?

Video thumbnail

Charles Rezk - 3/4 Higher Topos Theory

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart3.pdf In this series of lectures I will give an introduction to the concept of "infinity

From playlist Toposes online

Video thumbnail

Geometric Langlands correspondence via quantization in positive characteristic - Roman Travkin

Geometric Langlands correspondence via quantization in positive characteristic Speaker: Roman Travkin, Member, School of Mathematics Time/Room: 2:30pm - 2:45pm/S-101 More videos on http://video.ias.edu

From playlist Mathematics

Video thumbnail

What is a Tensor? Lesson 29: Transformations of tensors and p-forms (part review)

What is a Tensor? Lesson 29: Tensor and N-form Transformations This long lesson begins with a review of tensor product spaces and the relationship between coordinate transformations on spacetime and basis transformations of tensor fields. Then we do a full example to introduce the idea th

From playlist What is a Tensor?

Video thumbnail

The Dirac Ramond operator

Distiguished Lecture Series by Richard Melrose (Massachusetts Institute of Technology, USA)

From playlist Distinguished Visitors Lecture Series

Video thumbnail

2014 GED Exam Math Overview and Prep

GEDmathlessons.com http://www.gedmathlessons.com helps students practice and study for ged math. This video goes over the 2014 GED math requirement and how to study for the exam.

From playlist GED Prep Videos

Video thumbnail

Ulrich Pennig: "Fell bundles, Dixmier-Douady theory and higher twists"

Actions of Tensor Categories on C*-algebras 2021 "Fell bundles, Dixmier-Douady theory and higher twists" Ulrich Pennig - Cardiff University, School of Mathematics Abstract: Classical Dixmier-Douady theory gives a full classification of C*-algebra bundles with compact operators as fibres

From playlist Actions of Tensor Categories on C*-algebras 2021

Video thumbnail

What’s a Scatter Plot? How to find the Best Fitting Line

Learn how to find the best fitting line to a scatter plot. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes

From playlist GED Prep Videos

Video thumbnail

Nori uniformization of algebraic stacks by Niels Borne

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

Video thumbnail

A rope is on a 2 ft diameter pully. How many turns are needed to bring in 100ft of rope?

How to solve a math word problem about circles and circumference - basic geometry. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable wo

From playlist GED Prep Videos

Related pages

Lie group | Twist (mathematics) | Twisted K-theory | Orbifold | Differential form | Exterior derivative | Fiber bundle | Groupoid | String theory | Wess–Zumino–Witten model | K-theory | Mathematical analysis | Connection (mathematics) | Nilpotent | Circle bundle | Characteristic class | Conformal field theory | Mathematics | Hyperhomology | Sheaf (mathematics) | Category theory | Deligne cohomology | Gerbe | Chern class | Geometry