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
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
Arthur Bartels: K-theory of group rings (Lecture 2)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Arthur Bartels: K-theory of group rings The Farrell-Jones Conjecture predicts that the K-theory of group rings RG can be computed in terms of K-theory of group rings RV where V vari
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
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
Oily-Maccaroni: A Curious Limit Definition!
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https:
From playlist Number Theory
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 04) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Yonatan Harpaz - New perspectives in hermitian K-theory II
Warning: around 32:30 in the video, in the slide entitled "Karoubi's conjecture", a small mistake was made - in the third bulleted item the genuine quadratic structure appearing should be the genuine symmetric one (so both the green and red instances of the superscript gq should be gs), an
From playlist New perspectives on K- and L-theory
Non-commutative motives - Maxim Kontsevich
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Maxim Kontsevich Institute for Advanced Study October 20, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a fo
From playlist Pierre Deligne 61st Birthday
Laurent Lafforgue - 4/4 Classifying toposes of geometric theories
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/LafforgueSlidesToposesOnline.pdf The purpose of these lectures will be to present the theory of classifying topose
From playlist Toposes online
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 03) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Max Karoubi: Hermitian K theory invariants in Topology and Algebraic Geometry
The lecture was held within the framework of the Hausdorff Trimester Program: Non-commutative Geometry and its Applications and the Workshop: Number theory and non-commutative geometry 24.11.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Shinichiroh Matsuo : Gysin maps and bulk-edge correspondence
Abstract: We propose a yet another definition of KR-groups, which combines those of Atiyah and Karoubi and gives a simple proof of the Bott periodicity. Using the new definition, we can formulate the bulk-edge correspondence for free fermion systems as the functoriality of the Gysin map. T
From playlist Mathematical Physics
Milton Jara : The weak KPZ universality conjecture - 1
Abstract: The aim of this series of lectures is to explain what the weak KPZ universality conjecture is, and to present a proof of it in the stationary case. Lecture 1: The KPZ equation, the KPZ universality class and the weak and strong KPZ universality conjectures. Lecture 2: The marting
From playlist Mathematical Physics
Max Karoubi: Algebraic maps between spheres and Bott periodicity
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. At the beginning of his research, J.-L. Loday proved that an algebraic map between an n-dimensional torus and an n-sphere is necessarily homotopic to a constant map. We generalize th
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 22
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 02) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Čech cohomology part II, Čech-to-derived spectral sequence, Mayer-Vietoris, étale cohomology of quasi-coherent sheaves, the Artin-Schreier exact sequence and the étale cohomology of F_p in characteristic p.
From playlist Étale cohomology and the Weil conjectures
Entretien avec Luc Illusie, mené par Fabrice Orgogozo
Un entretien avec Luc Illusie, mené par Fabrice Orgogozo à l'IHÉS, le 12 juin 2021. Musique composée par Robert Schumann et interprétée par Paavali Jumppanen, utilisée sous licence CC BY-NC-ND 3.0. Une version de cette vidéo avec des sous-titres en anglais est disponible à l'adresse suiv
From playlist Les entretiens de l'IHES
An interview with Luc Illusie, conducted by Fabrice Orgogozo
An interview with Luc Illusie, conducted by Fabrice Orgogozo at the IHES on June 12, 2021. Subtitles: traductions [dot] mathematiques [at] gmail.com Music: Composed by Robert Schumann. Performed by Paavali Jumppanen and used under a CC BY-NC-ND 3.0 licence. A version of this video withou
From playlist Les entretiens de l'IHES
Sir Michael Atiyah | The Riemann Hypothesis | 2018
Slides for this talk: https://drive.google.com/file/d/1DNHG9TDXiVslO-oqDud9f-9JzaFCrHxl/view?usp=sharing Sir Michael Francis Atiyah: "The Riemann Hypothesis" Monday September 24, 2018 9:45 Abstract: The Riemann Hypothesis is a famous unsolved problem dating from 1859. I will present a
From playlist Number Theory