Invariant theory

Ternary quartic

In mathematics, a ternary quartic form is a degree 4 homogeneous polynomial in three variables. (Wikipedia).

Ternary quartic
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A positive proportion of plane cubics fail the Hasse principle - Manjul Bhargava [2011]

Arithmetic Statistics April 11, 2011 - April 15, 2011 April 11, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12761

From playlist Number Theory

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Trigonometry: Sine, Cosine and Tangent

This video introduces the three basic trigonometric functions from the point of view of solving problems that involve triangles. The sine, cosine and tangent functions are defined, related to cosecant, secant and cotangent, and connected to the unit circle. Graphs of all of the functions a

From playlist Trigonometry

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Radian Definition: Dynamic & Conceptual Illustrator

Link: https://www.geogebra.org/m/VYq5gSqU

From playlist Trigonometry: Dynamic Interactives!

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Parametrization of the 2-, 3-, 4-, and 5-Selmer Groups of Elliptic... (Lecture 2) by Arul Shankar

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)

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Commutative algebra 4 (Invariant theory)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. This lecture is an informal historical summary of a few results of classical invariant theory, mainly to show just how complic

From playlist Commutative algebra

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Wei Ho: Explicit models of genus one curves and related problems

CIRM HYBRID EVENT We discuss various explicit models of genus one curves, some classical and some a little less so, with an eye towards applications in number theory and arithmetic geometry. In particular, we will talk about how understanding such models has shed light on many kinds of pro

From playlist Algebraic and Complex Geometry

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Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

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CTNT 2020 - Elliptic curves and the local-global principle for quadratic forms - Asher Auel

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Conference Videos

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Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent

Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as pi radians. We just make some triangles and set up a few definitions. I promise it's no sweat

From playlist Trigonometry

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Trigonometry 5 The Cosine Relationship

A geometrical explanation of the law of cosines.

From playlist Trigonometry

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Minimization and reduction of plane curves - Stoll - Workshop 2 - CEB T2 2019

Michael Stoll (Universität Bayreuth) / 27.06.2019 Minimization and reduction of plane curves When given a plane curve over Q, it is usually desirable (for computational purposes, for example) to have an equation for it with integral coefficients that is ‘small’ in a suitable sense. Ther

From playlist 2019 - T2 - Reinventing rational points

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Introduction to Radians (3 of 3: Formal definition & conversion)

More resources available at www.misterwootube.com

From playlist Trigonometry and Measure of Angles

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Philippe Biane: Mating of discrete trees and walks in the quarter-plane

CIRM HYBRID EVENT Recorded during the meeting "Lattice Paths, Combinatorics and Interactions" the June 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians

From playlist Combinatorics

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Lec 1 | MIT 5.74 Introductory Quantum Mechanics II

Introduction to the Spectroscopic Effective Hamiltonian View the complete course at: http://ocw.mit.edu/5-74S04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.74 Introductory Quantum Mechanics II, Spring 2004

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John Cremona: The symplectic type of congruences between elliptic curves

In this talk I will describe a systematic investigation into congruences between the mod $p$ torsion modules of elliptic curves defined over $\mathbb{Q}$. For each such curve $E$ and prime $p$ the $p$-torsion $E[p]$ of $E$, is a 2-dimensional vector space over $\mathbb{F}_{p}$ which carrie

From playlist Number Theory

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What's an Octagon? Geometry Terms and Definitions

An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre

From playlist Socratica: The Geometry Glossary Series

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Ex 1: Simplifying a Trigonometric Expression

This video explains how to simplify to trigonometric expressions. One is a product of trigonometric functions and one is a quotient of trigonometric expressions. Site: http://mathispower4u.com

From playlist Reciprocal, Quotient, Negative, and Pythagorean Trigonometric Identities

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Wei Ho, Integral points on elliptic curves

VaNTAGe seminar, on Oct 13, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.

From playlist Rational points on elliptic curves

Related pages

Ternary cubic | Homogeneous polynomial | Quadratic form