Download presentation

Presentation is loading. Please wait.

Published byDerick Auberry Modified over 3 years ago

1
Fermat’s Last Theorem Jonathan Rigby

2
Fermat’s last theorem x n +y n =z n Fermats proof by infinite descent x 4+ +y 4 =z 4

3
Elliptic curves Cubic curve who’s solution looks like a donut All points on the donut is the solution to the initial equation

4
Modular form A function on the Complex plane, which satisfies a certain kind of function equation and growth condition. They exhibit many symmetries

5
Tanyama Shimora Conjecture Claim that all elliptic curves are modular forms

6
Epsilon conjecture Consider if x n +y n =z n has a solution. Create an elliptic curve using this function. The resulting elliptic curve appears to not be modular

7
Problem Show a particular elliptic equation is paired with a modular form. Show all elements in E have a corresponding element in M Mathematical induction Repeat this process for the infinite number of elliptical and modular equations.

8
Galois representation Group theory Groups built on the division of solutions to equations into packets with similar properties. Transforming the elliptical curve equations into packets that could be matched up to modular forms

9
Class Number Formula Flach Kalyvargan Iwasawa Theory

Similar presentations

OK

M. Khalily Dermany Islamic Azad University. finite number of element important in number theory, algebraic geometry, Galois theory, cryptography,

M. Khalily Dermany Islamic Azad University. finite number of element important in number theory, algebraic geometry, Galois theory, cryptography,

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on history of australia prisoners Ppt on aerobics classes Ppt on non ferrous minerals in food Ppt on condition based maintenance pdf Ppt on duty roster for camping Ppt on liberal education Ppt on writing english skills Free download ppt on mobile number portability Ppt on column chromatography uses Ppt on measurement of price elasticity of demand