Intersection theory

Intersection theory

In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety. The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly reached a definitive form. There is yet an ongoing development of intersection theory. Currently the main focus is on: virtual fundamental cycles, quantum intersection rings, Gromov-Witten theory and the extension of intersection theory from schemes to stacks. (Wikipedia).

Intersection theory
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What is an Intersection? (Set Theory)

What is the intersection of sets? This is another video on set theory in which we discuss the intersection of a set and another set, using the classic example of A intersect B. We do not quite go over a formal definition of intersection of a set in this video, but we come very close! Be su

From playlist Set Theory

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Union vs Intersection (Set Theory)

What is A union B? What is the union of sets? What is the intersection of sets? I've talked about these topic before, but in this video we will look at unions and intersections of sets side by side. So get ready to learn about these very cool set operations! I hope you find this video he

From playlist Set Theory

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Geogebra Tutorial : Union and Intersection of Sets

Union and intersection of sets can be drawing with geogebra. Please see the video to start how drawing union and intersection of sets. more visit https://onwardono.com

From playlist SET

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What is the Symmetric Difference of 2 Sets?

What is the symmetric difference of 2 sets? In this video we go over the symmetric difference of sets, explaining it in a couple ways including what is probably the briefest way. The symmetric difference of two sets A and B is (A union B)-(A intersect B). If you need to know what the defin

From playlist Set Theory

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What is a Union? (Set Theory)

What is A union B? How do you find the union of sets? What is an operation of sets? In this video we answer these questions, we will talk about the simple set operation: the union, what it is, and how to union two sets. I hope you find this video helpful, and be sure to ask any questions d

From playlist Set Theory

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When do vector functions intersect?

Free ebook http://tinyurl.com/EngMathYT Example discussing intersection of curves of two vector functions on one variable.

From playlist Engineering Mathematics

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Set Theory Proof with the Math Sorcerer

Set Theory Proof with the Math Sorcerer

From playlist Set Theory

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08 Exercise problem

In this exercise problem we prove that the intersection of a set with the union of two other sets, is equal to the union of the intersection of the first and the second and the first and the third sets.

From playlist Abstract algebra

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Pluripotential theory and complex dynamics in higher dimension – Tien-Cuong Dinh – ICM2018

Analysis and Operator Algebras Invited Lecture 8.13 Pluripotential theory and complex dynamics in higher dimension Tien-Cuong Dinh Abstract: Positive closed currents, the analytic counterpart of effective cycles in algebraic geometry, are central objects in pluripotential theory. They we

From playlist Analysis & Operator Algebras

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Connecting tropical intersection theory with polytope algebra in types A and B by Alex Fink

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Knot Categorification From Mirror Symmetry (Lecture- 2) by Mina Aganagic

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 Pan

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

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Magnetic Quivers and Phase Diagrams - New ways of Thinking About Moduli Spaces- 3.. by Amihay Hanany

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 Pan

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

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Noncommutative resolutions and intersection cohomology for quotient singularities - Tudor Padurariu

Short Talks by Postdoctoral Members Topic: Noncommutative resolutions and intersection cohomology for quotient singularities Speaker: Tudor Padurariu Affiliation: Member, School of Mathematics Date: September 23, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Residual Intersections in Geometry and Algebra by David Eisenbud

DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi

From playlist DISTINGUISHED LECTURES

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Proof: A is a Subset of B iff A intersect B Equals A | Set Theory, Subsets

A is a subset of B if and only if A intersect B equal A. We will prove this set theory result in today's video set theory lesson! The proof is straightforward and follows easily from definitions. Always good to get some practice learning how to use our fundamental set theory definitions

From playlist Set Theory

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Lagrangian Floer homology

Kenji Fukaya (Kyoto University). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 3. Abstract: This is a survey of Lagrangian Floer homology which I developed together with Y.G.-Oh, Hiroshi Ohta, and Kaoru Ono. I will focus on its relation to (homological) mirror symmetr

From playlist PRIMA2009

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Washington Taylor - How Natural is the Standard Model in the String Landscape?

Mike's pioneering work in taking a statistical approach to string vacua has contributed to an ever-improving picture of the landscape of solutions of string theory. In this talk, we explore how such statistical ideas may be relevant in understanding how natural different realizations of th

From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

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Set Theory (Part 4): Relations

Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im

From playlist Set Theory by Mathoma

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What are Mutually Exclusive Events? | Probability Theory, Disjoint Events

What are mutually exclusive events? Events that are mutually exclusive are events that cannot both occur simultaneously. For example, flipping tails and flipping heads are mutually exclusive events! We cannot flip both talks and heads in one flip of a single coin. More formally, two event

From playlist Probability Theory

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