Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
Topic: Decoupling in harmonic analysis and the Vinogradov mean value theorem Speaker: Jean Bourgain Date: Thursday, December 17 Based on a new decoupling inequality for curves in ℝd, we obtain the essentially optimal form of Vinogradov's mean value theorem in all dimensions (the case d=3
From playlist Mathematics
Vinberg’s theorem on hyperbolic reflection groups - Chen Meiri
Speaker: Chen Meiri (Technion) Title: Vinberg’s theorem on hyperbolic reflection groups Abstract: In this talk we will expalin the main ideas of the proof of the following theorem of Vinberg: Let f be an integral quadratic form of signature (n, 1). If n ≥ 30 then the subgroup of SO(n, 1)(
From playlist Mathematics
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
[BOURBAKI 2017] 17/06/2017 - 2/4 - Lillian PIERCE
The Vinogradov Mean Value Theorem [after Bourgain, Demeter and Guth, and Wooley] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHe
From playlist BOURBAKI - 2017
The Bombieri-Vinogradov theorem (1/6) Kannan Soundararajan (Stanford) [2015]
The Bombieri-Vinogradov theorem and introduction to sieve theory (K. Soundararajan) The goal of this lecture series was to present, again in full detail, the proof of the Bombieri-Vinogradov theorem, which is another main ingredient in the recent progress on gaps between primes. The resul
From playlist Number Theory
Norbert Mauser: The quantum Vlasov equation
Abstract: We present the Quantum Vlasov or Wigner equation as a "phase space" presentation of quantum mechanics that is close to the classical Vlasov equation, but where the "distribution function" w(x,v,t) will in general have also negative values. We discuss the relation to the classical
From playlist Mathematical Physics
Youness Lamzouri: Large character sums
Abstract : For a non-principal Dirichlet character χ modulo q, the classical Pólya-Vinogradov inequality asserts that M(χ):=maxx|∑n≤xχ(n)|=O(q‾√log q). This was improved to q‾√log log q by Montgomery and Vaughan, assuming the Generalized Riemann hypothesis GRH. For quadratic characters, th
From playlist Number Theory
János Pintz: Polignac numbers and the consecutive gaps between primes
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Rahim Moosa: Around Jouanolou-type theorems
Abstract: In the mid-90’s, generalising a theorem of Jouanolou, Hrushovski proved that if a D-variety over the constant field C has no non-constant D-rational functions to C, then it has only finitely many D-subvarieties of codimension one. This theorem has analogues in other geometric con
From playlist Combinatorics
Philippe Michel - Some applications of trace functions to analytic number theory
December 18, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In the lecture, we will describe several applications of the theory of trace functions (Frobenius trace functions associated to $\ell$-adic sheaves on the affine line ov
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
Decouplings and applications – Ciprian Demeter – ICM2018
Analysis and Operator Algebras Invited Lecture 8.11 Decouplings and applications Ciprian Demeter Abstract: We describe a Fourier analytic tool that has found a large number of applications in Number Theory, Harmonic Analysis and PDEs. © International Congress of Mathematicians – ICM w
From playlist Analysis & Operator Algebras
Olivier Ramaré: Some news on bilinear decomposition of the Möbius function
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Decouplings and Applications: A Journey from Continuous to Discrete - Ciprian Demeter
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 22, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Philippe Michel, Introductory talk on Analytic Number Theory
notes for this talk: https://www.msri.org/workshops/801/schedules/21761/documents/2982/assets/27964 Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017 February 06, 2017 (09:15 AM PST - 10:00 AM PST) Speaker(s): Philippe Michel (École Polytechnique Fédéra
From playlist Number Theory
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o
From playlist Number Theory
Harald Helfgott: Towards ternary Goldbach's conjecture
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics