José Ignacio Burgos Gil: Arithmetic intersection of Bloch higher cycles
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: We give a new definition of higher arithmetic Chow groups for smooth projective varieties defined over a number field, which is similar to Gill
From playlist Workshop: "Periods and Regulators"
This is a lazy introduction to the idea of a Chow Ring. I don't prove anything :-(. Maybe soon in another video.
From playlist Intersection Theory
This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec
From playlist Algebraic geometry: extra topics
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Lie Groups and Lie Algebras: Lesson 15-Example of a Continuous Group
Lie Groups and Lie Algebras: Lesson 15-Example of a Continuous Group We discuss Gilmores most elementary continuous group example to capture the notion of a continuous group of transformations. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Computation Layer Webinar: Text Everywhere
Make an activity with Team Desmos! Learn some creative ways to offer verbal instruction and feedback in your activities. Learn how to creatively display and use student text in all components while creating an activity for your own class!
From playlist Computation Layer
Computation Layer Webinar: It's a Graph Party!
Make an activity with Team Desmos! The Desmos graph team joins to show us how to integrate graphs and code in order to drive powerful feedback. As you explore, you will have the opportunity to construct a short activity to take with you.
From playlist Computation Layer
Marc Levine: Chow Witt groups, ramification and quadratic forms
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Replacing the Chow groups with the Barge-Morel-Fasel Chow-Witt groups enables refining many classical constructions involving algebraic cycles
From playlist Workshop: "Periods and Regulators"
This lecture give an overview of Chern classes of nonsingular algebraic varieties. We first define the Chern class of a lline bundle by looking at the cycle of zeros of a section. Then we define Chern classes of higher rank vector bundles by looking at the line bundle O(1) over the corresp
From playlist Algebraic geometry: extra topics
Computation Layer Webinar: Don't Forget the Dashboard
We've created some amazing activities for students, but how can we be just as empowering to teachers? Learn how to add different marks of correctness, warnings, and error messages to your activities to help you monitor student progress in your lessons.
From playlist Computation Layer
Andrei Negut: Hilbert schemes of K3 surfaces
Abstract: We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of K3 surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes. Although other geometric proofs o
From playlist Algebraic and Complex Geometry
Arithmetic theta series - Stephan Kudla
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Arithmetic theta series Speaker: Stephan Kudla Affiliation: University of Toronto Date: March 8, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Burt Totaro: Decomposition of the diagonal, and applications
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
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
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra