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
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
This is lecture 5 of an online mathematics course on group theory. It classifies groups of order 4 and gives several examples of products of groups.
From playlist Group theory
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
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
Victoria Hoskins: On the motive of the stack of vector bundles on a curve
Abstract: Following Grothendieck’s vision that a motive of an algebraic variety should capture many of its cohomological invariants, Voevodsky introduced a triangulated category of motives which partially realises this idea. After describing some of the properties of this category, I expla
From playlist Algebraic and Complex Geometry
On the Hitchin fibration for algebraic surfaces
Distinguished Visitor Lecture Series On the Hitchin fibration for algebraic surfaces Ngô Bảo Châu The University of Chicago, USA and Vietnam Institute for Advanced Study in Mathematics, Vietnam
From playlist Distinguished Visitors Lecture Series
Algebraic cycles on holomorphic symplectic varieties - Lie Fu
Lie Fu Member, School of Mathematics September 25, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.
From playlist Abstract algebra
Center of a group in abstract algebra
After the previous video where we saw that two of the elements in the dihedral group in six elements commute with all the elements in the group, we finally get to define the center of a group. The center of a group is a subgroup and in this video we also go through the proof to show this.
From playlist Abstract algebra
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
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
Marc Levine: Refined enumerative geometry (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
New developments in the theory of modular forms... - 7 November 2018
http://crm.sns.it/event/416/ New developments in the theory of modular forms over function fields The theory of modular forms goes back to the 19th century, and has since become one of the cornerstones of modern number theory. Historically, modular forms were first defined and studied ov
From playlist Centro di Ricerca Matematica Ennio De Giorgi
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
Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants 5/5
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via modul
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology