Moduli theory

Stacky curve

In mathematics, a stacky curve is an object in algebraic geometry that is roughly an algebraic curve with potentially "fractional points" called stacky points. A stacky curve is a type of stack used in studying Gromov–Witten theory, enumerative geometry, and rings of modular forms. Stacky curves are deeply related to 1-dimensional orbifolds and therefore sometimes called orbifold curves or orbicurves. (Wikipedia).

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Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an

From playlist Maths Topics

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Cycloid

#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)

From playlist Miscellaneous

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Homotopy animation

An interesting homotopy (in fact, an ambient isotopy) of two surfaces.

From playlist Algebraic Topology

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Introduction to Homotopy Theory- PART 1: UNIVERSAL CONSTRUCTIONS

The goal of this series is to develop homotopy theory from a categorical perspective, alongside the theory of model categories. We do this with the hope of eventually developing stable homotopy theory, a personal goal a passion of mine. I'm going to follow nLab's notes, but I hope to add t

From playlist Introduction to Homotopy Theory

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The local-global principle for stacky curves - Poonen - Workshop 1 - CEB T2 2019

Bjorn Poonen (Massachusetts Institute of Technology) / 22.05.2019 The local-global principle for stacky curves For smooth projective curves of genus g over a number field, the local-global principle holds when g = 0 and can fail for g = 1, as has been known since the 1940s. Stacky curve

From playlist 2019 - T2 - Reinventing rational points

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David Rydh. Local structure of algebraic stacks and applications

Abstract: Some natural moduli problems, such as moduli of sheaves and moduli of singular curves, give rise to stacks with infinite stabilizers that are not known to be quotient stacks. The local structure theorem states that many stacks locally look like the quotient of a scheme by the act

From playlist CORONA GS

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11_6_1 Contours and Tangents to Contours Part 1

A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.

From playlist Advanced Calculus / Multivariable Calculus

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Geometric Langlands and 3d Mirror Symmetry (Lecture 1) by Sam Raskin

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)

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Line integral over 2 curves

Free ebook http://tinyurl.com/EngMathYT How to integrate over 2 curves. This example discusses the additivity property of line integrals (sometimes called path integrals).

From playlist Engineering Mathematics

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What is the definition of a hyperbola

Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ

From playlist The Hyperbola in Conic Sections

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Geometry of the Global Nilpotent Cone Lecture 1 by Ana Peon-Nieto

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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What is a tangent plane

The "tangent plane" of the graph of a function is, well, a two-dimensional plane that is tangent to this graph. Here you can see what that looks like.

From playlist Multivariable calculus

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What is the difference of a trapezoid and an isosceles trapezoid

👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Higgs–Coulomb Correspondence and Wall-Crossing in Abelian GLSMs by Chiu-Chu Melissa Liu

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno RomĂŁo (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

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Yuan-Pin Lee - Introduction to Gromov-Witten theory (Part 1)

In these lectures, Gromov{Witten theory will be introduced, assuming only basic moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture will be explained. Some examples, with emphasis on the projective/global cases, will be given. Note: The construct

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

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 the stu

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

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What is the definition of a hyperbola

Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ

From playlist The Hyperbola in Conic Sections

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2-Categorical 3d Mirror Symmetry by Justin Hilburn

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)

Related pages

Smooth scheme | Dimension of an algebraic variety | Orbifold | Stack (mathematics) | Deligne–Mumford stack | Genus (mathematics) | Gromov–Witten invariant | Ring of modular forms | Connected space | Proper morphism | Enumerative geometry | Equivalence of categories | Algebraic geometry | Riemann–Roch theorem | Category (mathematics) | Algebraic geometry and analytic geometry | Linear system of divisors | Algebraic curve | Complex number | Quasi-projective variety