Topological spaces

Divisor topology

In mathematics, more specifically general topology, the divisor topology is a specific topology on the set of positive integers greater than or equal to two. The divisor topology is the poset topology for the partial order relation of divisibility of integers on . (Wikipedia).

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Definition of a Zero Divisor with Examples of Zero Divisors

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Zero Divisor with Examples of Zero Divisors - Examples of zero divisors in Z_m the ring with addition modulo m and multiplication modulo m. Examples are done with Z_8 and Z_4. - Example of a zero divisor with the D

From playlist Abstract Algebra

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Schemes 35: Divisors on a Riemann surface

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we discuss the divisors on Riemann surfaces of genus 0 or 1, and show how the classical theory of elliptic functions determines the divisor cla

From playlist Algebraic geometry II: Schemes

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Number Theory | Divisibility Basics

We present some basics of divisibility from elementary number theory.

From playlist Divisibility and the Euclidean Algorithm

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DIVISIBILITY - DISCRETE MATHEMATICS

We start number theory by introducing the concept of divisibility and do some simple proofs. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0c

From playlist Discrete Math 1

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What is a Chow Ring?

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

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Schemes 36: Weil and Cartier divisors

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define Weil and Cartier divisors and divisor classes, and give some simple examples of the groups of divisor classes.

From playlist Algebraic geometry II: Schemes

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Schemes 43: Linear systems

This lecture is part of an online course on schemes, following chapter II of the book "Algebraic geometry" by Hartshorne. In this lecture we give some examples of linear systems of divisors, which are an older way of visualizing sections of an invertible sheaf by looking at the zeros of

From playlist Algebraic geometry II: Schemes

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Distributive Property

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

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Abstract Algebra | The dihedral group

We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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János Kollár - What determines a variety? - WAGON

A scheme X is a topological space---which we denote by |X|---and a sheaf of rings on the open subsets of |X|. We study the following natural but seldom considered questions. How to read off properties of X from |X|? Does |X| alone determine X? Joint work with Max Lieblich, Martin Olsson, a

From playlist WAGON

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Chern numbers of families of algebraic curves and ordinary differential equations by Sheng-Li Tan

Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area

From playlist Algebraic Surfaces and Related Topics

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Federico Binda - Triangulated Categories of Log Motives over a Field

In this talk I will sketch the construction and highlight the main properties of a new motivic category for logarithmic schemes, log smooth over a ground field k (without log structure). This construction is based on a new Grothendieck topology (called the “dividing topology”) and on the p

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Akhil Mathew - Remarks on p-adic logarithmic cohomology theories

Correction: The affiliation of Lei Fu is Tsinghua University. Many p-adic cohomology theories (e.g., de Rham, crystalline, prismatic) are known to have logarithmic analogs. I will explain how the theory of the “infinite root stack” (introduced by Talpo-Vistoli) gives an alternate approach

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

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Weil conjectures 6: etale cohomology of a curve

We give an overview of how to calculate the etale cohomology of a nonsinguar projective curve over an algebraically closed field with coefficients Z/nZ with n invertible. We simply assume a lot of properties of etale cohomology without proving (or even defining) them.

From playlist Algebraic geometry: extra topics

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Said Hamoun (2/23/23): On the rational topological complexity of coformal elliptic spaces

We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of

From playlist Topological Complexity Seminar

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Jared Weinstein - 2/2 Local Shtukas and the Langlands Program

In the Langlands program over number fields, automorphic representations and Galois representations are placed into correspondence, using the cohomology of Shimura varieties as an intermediary. Over a function field, the appropriate intermediary is a moduli space of shtukas. We introduce t

From playlist 2022 Summer School on the Langlands program

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How To Multiply Using Foil - Math Tutorial

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

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A Controlled Mather Thurston Theorem - Mike Freedman

Workshop on the h-principle and beyond Topic: A Controlled Mather Thurston Theorem Speaker: Mike Freedman Affiliation: Microsoft Date: November 03, 2021 Abstract: The "c-principle" is a cousin of Gromov's h-principle in which cobordism rather than homotopy is required to (canonically) s

From playlist Mathematics

Related pages

Compact space | Prime number | Regular space | Upper set | Counterexamples in Topology | General topology | Connected space | Integer | Normal space | Scattered space | Baire space | Poset topology | Alexandrov topology | Isolated point | T1 space | Hausdorff space