ABC Intro - part 1 - What is the ABC conjecture?
This videos gives the basic statement of the ABC conjecture. It also gives some of the consequences.
From playlist ABC Conjecture Introduction
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
The ABC Conjecture, Brian Conrad (Stanford) [2013]
slides for this talk: https://drive.google.com/file/d/1J04zXCQYgn9MdgDUo63rH719cruiQJVo/view?usp=sharing The ABC Conjecture Brian Conrad [Stanford University] Stony Brook Mathematics Colloquium Video September 12, 2013 http://www.math.stonybrook.edu/Videos/Colloquium/video_slides.php?
From playlist Number Theory
Experimentalist Vs. Theorist on Einstein's General Theory of Relativity
Einstein's theories provided elegant explanations for existing phenomena—but he didn't quite hit the big time until experiments during a solar eclipse verified some of the predictions of his general theory of relativity. In this clip from the 2015 World Science Festival program "Reality Si
From playlist The Life and Work of Albert Einstein
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Why science is NOT 'Just a Theory'
Have you ever heard ‘evolution’ dismissed as ‘just a theory’? Is a scientific theory no different to the theory that Elvis is still alive? Jim Al-Khalili puts the record straight. Subscribe for regular science videos: http://bit.ly/RiSubscRibe There’s an important difference between a sci
From playlist Ri Animations
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
Here's a re-enactment of the famous paradox known as the "infinite monkey theorem."
From playlist Cosmic Journeys
Lucas Mason-Brown - Arthur's Conjectures and the Orbit Method for Real Reductive Groups
The most fundamental unsolved problem in the representation theory of Lie groups is the Problem of the Unitary Dual: given a reductive Lie group G, this problem asks for a parameterization of the set of irreducible unitary G-representations. There are two big "philosophies" for approaching
From playlist 2022 Summer School on the Langlands program
Tasho Kaletha - 1/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
Ramanujan Conjecture and the Density Hypothesis - Shai Evra
Joint IAS/Princeton University Number Theory Seminar Topic: Ramanujan Conjecture and the Density Hypothesis Speaker: Shai Evra Affiliation: Princeton University Date: November 19, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Freydoon Shahidi - On the Ramanujan-Selberg Conjecture
December 18, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In this talk we will review the recent progress on this conjecture, including Kim-Sarnak/Blomer-Brumley's 7/64 through its automorphic inputs which includes several cases
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
Tasho Kaletha - 2/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
Endoscopy and cohomology growth on unitary groups - Simon Marshall
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Endoscopy and cohomology growth on unitary groups Speaker: Simon Marshall Affiliation: University of Wisconsin; Member, School of Mathematics Date: March 9, 2018 For more videos, please visit http://video.
From playlist Mathematics
Robert Langlands - "The Elephant" [2001]
Conference on Automorphic Forms: Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 https://video.ias.edu/Automorphic-Forms
From playlist Number Theory
Eisenstein series, p-adic deformations, Galois representations, and the group G_2 - Sam Mundy
Joint IAS/Princeton University Number Theory Seminar Topic: Eisenstein series, p-adic deformations, Galois representations, and the group G_2 Speaker: Sam Mundy Affiliation: Columbia University Date: April 01, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
A Beautiful Proof of Ptolemy's Theorem.
Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual
From playlist Mathy Videos
Marcela Hanzer: Adams’ conjecture on theta correspondence
CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 27, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldw
From playlist Virtual Conference
Alan Turing and Number Theory - Yuri Matiyasevich (St. Petersburg) [2012]
slides for this talk: http://videolectures.net/site/normal_dl/tag=694395/turing100_matiyasevich_number_theory_01.pdf Alan Turing Centenary Conference Manchester, 2012 Alan Turing and Number Theory Yuri Matiyasevich, St.Petersburg Department of Steklov Mathematical Institute, Russian Aca
From playlist Mathematics