Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties
Abstract: Liouville inequality is a lower bound of the norm of an integral section of a line bundle on an algebraic point of a variety. It is an important tool in may proofs in diophantine geometry and in transcendence. On transcendental points an inequality as good as Liouville inequality
From playlist Algebraic and Complex Geometry
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
Fundamental Theorem of Algebra
In this video, I prove the Fundamental Theorem of Algebra, which says that any polynomial must have at least one complex root. The beauty of this proof is that it doesn’t use any algebra at all, but instead complex analysis, more specifically Liouville’s Theorem. Enjoy!
From playlist Complex Analysis
Complex Analysis: Liouville's Theorem
Today, we prove Liouville's theorem. Proof for generalised Cauchy integral theorem: https://www.youtube.com/watch?v=MXy5xgCEthQ
From playlist Complex Analysis
Eigenvalues of a Sturm Liouville differential equation
Free ebook http://tinyurl.com/EngMathYT Sufficient conditions are formulated under which the eigenvalues of a Sturm Liouville differential equation will be non-negative.
From playlist Differential equations
The differential calculus for curves, via Lagrange! | Differential Geometry 4 | NJ Wildberger
We rejuvenate the powerful algebraic approach to calculus that goes back to the work of Newton, Euler and particularly Lagrange, in his 1797 book: The Theory of Analytic Functions (english translation). The idea is to study a polynomial function p(x) by using translation and truncation to
From playlist Differential Geometry
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
Math 135 Complex Analysis Lecture 11 022415: Consequences of the Cauchy Integral Formula
Simple calculations using the Cauchy Integral Formula; Cauchy's integral formula for derivatives; Morera's Formula; observation regarding removable singularities; Cauchy's inequality; first Liouville's theorem; Fundamental Theorem of Algebra
From playlist Course 8: Complex Analysis
Complex Analysis: Fundamental Theorem of Algebra
Today, we prove the fundamental theorem of algebra. Liouville's Theorem: https://www.youtube.com/watch?v=ZwBHWtHKako&t=1s
From playlist Complex Analysis
Liouville's Theorem through Symplectic Geometry
Liouville's theorem in classical mechanics is almost immediate in its symplectic geometry incarnation. Here I describe why! In the previous video, I introduced Lie derivatives on vector fields, including a derivation that the symplecitc form is preserved under Hamiltonian flow: https://
From playlist Symplectic geometry and mechanics
Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory -Rhodes, Vargas
Mathematical Physics Seminar Topic: Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory Speakers: Rémi Rhodes; Vincent Vargas Affiliation: Université Aix-Marseille; École Normale Supérieure Date: May 04, 2022 Liouville field theory was introduced by Polya
From playlist Mathematics
Symplectic homology, algebraic operations on (Lecture – 03) by Janko Latschev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Norbert Verdier : When He was one hundred Years old!
In this Talks we will don’t speak about Joseph-Louis Lagrange (1736-1813) but about Lagrange’s reception at the nineteenth Century. “Who read Lagrange at this Times?”, “Why and How?”, “What does it mean being a mathematician or doing mathematics at this Century” are some of the questions o
From playlist Lagrange Days at CIRM
Proof of the famous Cauchy’s integral formula, which is *the* quintessential theorem that makes complex analysis work! For example, from this you can deduce Liouville’s Theorem which says that a bounded holomorphic function must be constant. The proof itself is very neat and analysis-y Enj
From playlist Complex Analysis
Virasoro Conformal blocks in Liouville CFT - Colin Guillarmou
Probability Seminar Topic: Virasoro Conformal blocks in Liouville CFT Speaker: Colin Guillarmou Affiliation: Université d'Orsay Date: March 10, 2023 Liouville conformal field theory is a CFT with central charge c greater than 25 and continuous spectrum, its correlation functions on Riem
From playlist Mathematics
Title: Rational Matrix Differential Operators and Integral Systems of PDEs
From playlist Fall 2017
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
The Fractional Derivative, what is it? | Introduction to Fractional Calculus
This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw ht
From playlist Analysis