Family of curves

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

Cubic Curves (2 of 4: Polynomial Division & the factors of a Polynomial)

More resources available at www.misterwootube.com

From playlist Further Polynomials

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

3_2 The Geometric Series

The geometric series.

From playlist Advanced Calculus / Multivariable Calculus

What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

Complex Analysis - Curves

From playlist Complex Analysis Made Simple

An introduction to algebraic curves | Arithmetic and Geometry Math Foundations 76 | N J Wildberger

This is a gentle introduction to curves and more specifically algebraic curves. We look at historical aspects of curves, going back to the ancient Greeks, then on the 17th century work of Descartes. We point out some of the difficulties with Jordan's notion of curve, and move to the polynu

From playlist Math Foundations

Math 139 Fourier Analysis Lecture 12: Fourier series and the isoperimetric inequality

Fourier Series and the Isoperimetrric Inequality. Basic knowledge about curves: parametrized curve; length of a curve; arclength parametrization. Area enclosed by simple closed curve is maximized if the curve is a circle.

From playlist Course 8: Fourier Analysis

Integration 11 Lengths of Plane Curves Part 1

Using Integration to determine the length of a curve.

From playlist Integration

Wanlin Li, A generalization of Elkies' theorem on infinitely many supersingular primes

VaNTAGe seminar, November 9, 2021 License: CC-BY-NC-SA

From playlist Complex multiplication and reduction of curves and abelian varieties

Kenneth Ascher: What is a moduli space?

Abstract: Moduli spaces are geometric spaces which parametrize equivalence classes of algebraic varieties. I will discuss the moduli space of algebraic curves equivalently Riemann surfaces) of genus g, and use this example to motivate some interesting questions in higher dimensions. Biogr

From playlist What is...? Seminars

Sums of Two Cubes by Ari Shnidman

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

Stephanie Chan, Integral points in families of elliptic curves

VaNTAGe Seminar, June 28, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Hindry-Silverman: https://eudml.org/doc/143604 Alpoge: https://arxiv.org/abs/1412.1047 Bhargava-Shankar: https://arxiv.org/abs/1312.7859 Brumer-McGuiness: https://www.ams.org/journal

From playlist Arithmetic Statistics II

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

Carolina Araujo: Fano Foliations 3 - Classification of Fano foliations of large index

CIRM VIRTUAL EVENT Recorded during the research school "Geometry and Dynamics of Foliations " the May 11, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on C

From playlist Virtual Conference

B. Deroin - Monodromy of algebraic families of curves (Part 1)

The mini-course will focus on the properties of the monodromies of algebraic families of curves defined over the complex numbers. One of the goal will be to prove the irreducibility of those representations for locally varying families (Shiga). If time permit we will see how to apply this

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

That weird light at the bottom of a mug — ENVELOPES

Envelopes are cool. Interactive Demos on Desmos: https://www.desmos.com/calculator/ihms56f994 https://www.desmos.com/calculator/thozshn9l5 Did I get anything wrong? Let me know! I swept over a lot of interesting things here to keep it short! This was made as part of 3Blue1Brown's Summe

From playlist Summer of Math Exposition Youtube Videos

Noam Elkies, Rank speculation

VaNTAGe seminar, on Sep 15, 2020 License: CC-BY-NC-SA.

From playlist Rational points on elliptic curves

Joel Hass - Lecture 4 - Algorithms and complexity in the theory of knots and manifolds - 21/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

3_3 The Harmonic Series

An example of a harmonic series.

From playlist Advanced Calculus / Multivariable Calculus