Theorems in number theory | Elliptic curves

Brumer bound

In mathematics, the Brumer bound is a bound for the rank of an elliptic curve, proved by Brumer. (Wikipedia).

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Animated phase space plot of Brusselator

http://en.wikipedia.org/wiki/Brusselator Values are perturbed at 0:22 to show how the pattern restores itself.

From playlist Ready

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Lagrange multipliers: 2 constraints

Free ebook http://tinyurl.com/EngMathYT A lecture showing how to apply the method of Lagrange multipliers where two contraints are involved.

From playlist Lagrange multipliers

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More periodic oscillations in a modified Brusselator

This is a longer version of the video https://youtu.be/mRcN-4kzGFY , with a different coloring of molecules, to make the oscillations more visible. The Brusselator model was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles, to describe an oscillating a

From playlist Molecular dynamics

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Lagrange Multipliers - Two Constraints - Part 2

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Lagrange Multipliers - Two Constraints - Part 2. This is a continuation where I actually compute the maximum and the minimum!

From playlist All Videos - Part 8

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Sarrus linkage 2

An embodiment of "Sarrus linkage 1". Two planes of two planar slider-crank mechanisms are not necessary to be perpendicular to each other. It is enough that they are not parallel.

From playlist Mechanisms

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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

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Arul Shankar, Ordering elliptic curves by conductor

VaNTAGe seminar, on Oct 27, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.

From playlist Rational points on elliptic curves

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Alvaro Lozano-Robledo, The distribution of ranks of elliptic curves and the minimalist conjecture

VaNTAGe seminar, on Sep 29, 2020 License: CC-BY-NC-SA. An updated version of the slides that corrects a few minor issues can be found at https://math.mit.edu/~drew/vantage/LozanoRobledoSlides.pdf

From playlist Math Talks

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Bjorn Poonen, Heuristics for the arithmetic of elliptic curves

VaNTAGe seminar on Sep 1, 2020. License: CC-BY-NC-SA. Closed captions provided by Brian Reinhart.

From playlist Rational points on elliptic curves

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Learn to Crochet

How I Learned to Crochet : http://amzn.to/2vZQqkT https://www.patreon.com/derekbanas I want to start up Maker Monday again and I thought it would be fun to teach everybody how to crochet. I'll cover how to hold your yarn and hook, as well as Slip Knots, Chain, Single, 1/2 Double, Double a

From playlist Learn in One Video

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Mahesh Kakde: Brumer-Stark units and a conjecture of Gross

The existence of Brumer-Stark unit is guaranteed by the Brumer-Stark conjecture. A conjecture of Dasgupta gives an explicit p-adic analytic formula for these units. An approach to this explicit formula is given by the tower of fields conjecture of Gross. After recalling these conjecture an

From playlist Number Theory

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on the Brumer-Stark Conjecture (Lecture 2) by Samit Dasgupta

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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on the Brumer-Stark Conjecture (Lecture 1) by Samit Dasgupta

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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HTML Links

In this video, you’ll learn about how links function in HTML. We hope you enjoy! To learn more, check out our Basic HTML tutorial here: https://edu.gcfglobal.org/en/basic-html/ #html #links #coding

From playlist HTML

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Make an invisible bottle!

brusspup t-shirts! http://brusspup.spreadshirt.com/ Make a bottle disappear before your very eyes. Super easy experiment with amazing results!

From playlist Cool Science Tricks

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Pick Up 29 Cards By Touching Only 1

Add me on Facebook http://www.facebook.com/brusspup Impress friends by learning how to pick up 29 playing cards by touching only 1

From playlist How to videos!

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on the Brumer-Stark Conjecture (Lecture 5) by Mahesh Kakde

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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Make A Crazy Gravity Soda Holda!

Add me on Facebook http://www.facebook.com/brusspup brusspup t-shirts! http://brusspup.spreadshirt.com/ Learn how to make this cool gravity soda holder. Great conversation piece! Look for the plans at the end of the video. Pause to write them down. Very simple to make.

From playlist Cool Science Tricks

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Andrew Sutherland, Arithmetic L-functions and their Sato-Tate distributions

VaNTAGe seminar on April 28, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.

From playlist The Sato-Tate conjecture for abelian varieties

Related pages

Elliptic curve | Mathematics | Mestre bound