Diophantine geometry | Lemmas | Diophantine approximation
In mathematics, specifically in transcendental number theory and Diophantine approximation, Siegel's lemma refers to bounds on the solutions of linear equations obtained by the construction of auxiliary functions. The existence of these polynomials was proven by Axel Thue; Thue's proof used Dirichlet's box principle. Carl Ludwig Siegel published his lemma in 1929. It is a pure existence theorem for a system of linear equations. Siegel's lemma has been refined in recent years to produce sharper bounds on the estimates given by the lemma. (Wikipedia).
Linear Algebra 2q: Summary of Terms Encountered so Far
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From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Linear Algebra 6g: Linear Dependence Example 3 - Geometric Vectors
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From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
An Euler system for genus 2 Siegel modular forms - David Loeffler
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: An Euler system for genus 2 Siegel modular forms Speaker: David Loeffler Affiliation: University of Warwick Date: November 8, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Maxim Kirsebom: On a limiting distribution for maximal cusp excursions of the unipotent flow
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on "Dynamics on homogeneous spaces" Abstract: The unipotent flow on the unit tangent bundle of the modular surface is a classic example of a homogeneous flow when unde
From playlist Conference: Dynamics on homogeneous spaces
Gautam Iyer: "Dissipation Enhancement, Mixing and Blow-up Suppression"
Transport and Mixing in Complex and Turbulent Flows 2021 "Dissipation Enhancement, Mixing and Blow-up Suppression" Gautam Iyer - Carnegie Mellon University Abstract: In this talk we quantitatively study the interaction between diffusion and mixing in the context of problems arising in fl
From playlist Transport and Mixing in Complex and Turbulent Flows 2021
Lorenzo Brandolese: Large global solutions of the parabolic-parabolic Keller-Segel system in...
HYBRID EVENT Recorded during the meeting "Non-linear PDEs in Fluid Dynamics " the May 12, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovi
From playlist Jean-Morlet Chair - Hieber/Monniaux
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From playlist Part 4 Linear Algebra: Inner Products
Khintchine-type theorems for values of homogeneous polynomials....(Lecture 3) by Dmitry Kleinbock
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
In this video, I prove the famous Riemann-Lebesgue lemma, which states that the Fourier transform of an integrable function must go to 0 as |z| goes to infinity. This is one of the results where the proof is more important than the theorem, because it's a very classical Lebesgue integral
From playlist Real Analysis
Lorenzo Brandolese: Geometric structures in 2D Navier-Stokes flows
Geometric structures naturally appear in fluid motions. One of the best known examples is Saturn’s Hexagon, the huge cloud pattern at the level of Saturn’s north pole, remarkable both for the regularity of its shape and its stability during the past decades. In this paper we will address t
From playlist Jean-Morlet Chair - Hieber/Monniaux
Differential geometry of the Torelli map (Lecture 1) by Alessandro Ghigi and Paola Frediani
DISCUSSION MEETING TOPICS IN HODGE THEORY (HYBRID) ORGANIZERS: Indranil Biswas (TIFR, Mumbai, India) and Mahan Mj (TIFR, Mumbai, India) DATE: 20 February 2023 to 25 February 2023 VENUE: Ramanujan Lecture Hall and Online This is a followup discussion meeting on complex and algebraic ge
From playlist Topics in Hodge Theory - 2023
Vector Calculus 16: All Vector Functions Correspond to Curves in Space
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From playlist Vector Calculus
Linear Algebra 6z: Outtakes from Chapters 5 and 6
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Linear Algebra 2e: Confirming All the 'Tivities
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Robert Langlands - The Abel Prize interview 2018
00:17 The esthetics and beauty of mathematics 05:13 Creative moments and revelations: are numbers beautiful or are they satisficing 07:55 Langlands background from British Columbia and “lack of academic ambition” 10:30 Langlands on why he chose mathematics after all and science interest 1
From playlist The Abel Prize Interviews
This lecture is part of an online course on rings and modules. We continue the previous lecture on complete rings by discussing Hensel's lemma for finding roots of polynomials over p-adic rings or over power series rings. We sketch two proofs, by slowly improving a root one digit at a tim
From playlist Rings and modules
Higher Algebra 13: The Tate diagonal
In this video we discuss the Tate diagonal, which is a surprising feature of the world of spectra. For further details on this construction, see https://arxiv.org/pdf/1707.01799.pdf, section III.1. Feel free to post comments and questions at our public forum at https://www.uni-muenster
From playlist Higher Algebra
Characteristic subsets and the polynomial method – Miguel Walsh – ICM2018
Dynamical Systems and Ordinary Differential Equations | Number Theory Invited Lecture 9.14 | 3.9 Characteristic subsets and the polynomial method Miguel Walsh Abstract: We provide an informal discussion of the polynomial method. This is a tool of general applicability that can be used to
From playlist Number Theory
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers