Computer Science/Discrete Mathematics Seminar II

Topic: Non-Black-Box Derandomization
Speaker: Roei Tell
Affiliation: Member, School of Mathematics
Date: March 01, 2022

This is the third and final talk in the joint series with Lijie Chen. The talk will…

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective.

Joint IAS/Princeton University Number Theory Seminar

Topic: Modular forms of half-integral weight on exceptional groups
Speaker: Spencer Leslie
Affiliation: Duke University

Half-integral weight modular forms are classical objects with many important arithmetic…

Members' Seminar

Topic: The hidden landscape of localization
Speaker: Svitlana Mayboroda
Affiliation: University of Minnesota
Date: March 19, 2018

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MIT 18.S096 Topics in Mathematics with Applications in Finance, Fall 2013
View the complete course: http://ocw.mit.edu/18-S096F13
Instructor: Choongbum Lee

*NOTE: Lecture 4 was not recorded.
This lecture introduces stochastic processes, including random…

How the discoveries of Ramanujan in 1916, combined with the insights of Eichler and Shimura in the 50's, led to the proof of Fermat's Last Theorem.

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Here I solve the last four problems from chapter 1 of Arthur Engel's book Problem-Solving Strategies. Two of them seemed like fairly standard exercises that one might see on a question sheet from a first course in real analysis, and the other two I found…

Computer Science/Discrete Mathematics Seminar I

Topic: A Proof of the Kahn-Kalai Conjecture
Speaker: Jinyoung Park
Affiliation: Stanford University
Date: May 16, 2022

Thresholds for increasing properties of random structures are a central concern in probabilistic…

Is it true that for all $n\in\mathbb{N}$,
\begin{align}f(n)=\sum_{k=1}^{+\infty}\frac{(2k+1)^{4n+1}}{1+\exp{((2k+1)\pi)}}\end{align}
is always rational.
I have calculated via Mathematica, which says \

The successful approach to solving Fermat's problem reflects a move in number theory from abelian to non-abelian arithmetic.

This lecture was held by Abel Laurate Sir Andrew Wiles at The University of Oslo, May 25, 2016 and was part of the Abel Prize Lectures…

I discuss H.M. Edwards' Galois Theory, a fantastic book that I recommend for anyone who wants to get started in the subject of abstract algebra and Galois theory, the algebraic theory of solving polynomial equations. I give a guide to the contents of the…

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born.…

I discuss one of my favorite math textbooks, Fourier Analysis: An Introduction by Elias Stein and Rami Shakarchi. I recommend this book to everyone in a STEM field who knows multivariable calculus and has some familiarity with ODE and linear algebra.

This…

This video talks about the link between the rigorous and intuitive explanations of Group Theory.

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These animations are largely…

Benoit Perthame

Sorbonne-Université, France

This is a video about my PhD research and the field Algebraic Geometry. Any questions? Ask them in the comments below!

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