Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
André JOYAL - 3/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
André JOYAL - 2/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
André JOYAL - 4/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
What is the goal of string theory?
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From playlist Science Unplugged: String Theory
Jean BÉNABOU - Very, almost, and so on, ...
Very, almost, and so on, ... (when fragments of the language find their way into Topos Theory)
From playlist Topos à l'IHES
Sergiu Klainerman - Are Black Holes Real
Sergiu Klainerman (Princeton University) - Are Black Holes Real
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
Piotr Chrusciel - The Many Ways of the Characteristic Cauchy Problem
Piotr Chrusciel (University of Vienna) - The Many Ways of the Characteristic Cauchy Problem
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
Tommaso Ruggeri - Recent Mathematical Results in Classical and Relativistic Extended Thermodynamics
Tommaso Ruggeri (University of Bologna) - Recent Mathematical Results in Classical and Relativistic Extended Thermodynamics
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
Vincent Moncrief - Reflections on U(1) Invariant Einsteinian Universes
Vincent Moncrief (Dpt of Physics and Mathematics, Yale University) - Reflections on U(1) Invariant Einsteinian Universes
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
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
Alain Connes: Towards a Weil cohomology
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 26.11.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec
From playlist Algebraic geometry: extra topics
Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
S. Druel - A decomposition theorem for singular spaces with trivial canonical class (Part 5)
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the deve
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Jim Isenberg - The Conformal Method and Solutions of the Einstein Constraint Equation
Jim Isenberg (University of Oregon) - The Conformal Method and Solutions of the Einstein Constraint Equation : Success, and Looming Difficulties
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
Helmut Friedrich - On Anti-de Sitter Type Space-Times
Helmut Friedrich (Max-Plank-Institut fuer Gravitationsphysik, Potsdam) - On Anti-de Sitter Type Space-Times
From playlist Conférence en l'honneur d'Yvonne Choquet-Bruhat
This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in genera
From playlist Galois theory
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 3
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Antoine Triller - Communication entre neurones : instabilité moléculaire et mémoire
Communication entre neurones : instabilité moléculaire et mémoire, du normal au pathologique Les neurones communiquant entre eux forment des réseaux qui sont à l’origine des propriétés du système nerveux. Les neurones communiquent entre eux au niveau de jonctions appelées « synapses ». Le
From playlist Évenements grand public