In condensed matter physics, Luttinger's theorem is a result derived by J. M. Luttinger and J. C. Ward in 1960 that has broad implications in the field of electron transport. It arises frequently in theoretical models of correlated electrons, such as the high-temperature superconductors, and in photoemission, where a metal's Fermi surface can be directly observed. (Wikipedia).
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
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Some aspects of non-equilibrium dynamics by Diptiman Sen (Part 2)
School on Current Frontiers in Condensed Matter Research URL: http://www.icts.res.in/program/cficmr16 DATES: Monday 20 Jun, 2016 - Wednesday 29 Jun, 2016 VENUE : Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION: Understanding strongly interacting quantum many body systems is one of
From playlist School on Current Frontiers in Condensed Matter Research
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
The Schwarz Lemma -- Complex Analysis
Part 1 -- The Maximum Principle: https://youtu.be/T_Msrljdtm4 Part 3 -- Liouville's theorem: https://www.youtube.com/watch?v=fLnRDhhzWKQ In today's video, we want to take a look at the Schwarz lemma — this is a monumental result in the subject of one complex variable, and has lead to many
From playlist Complex Analysis
Crossover of Correlation Functions near a Quantum Impurity.... by Pochung Chen
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
When Luttinger semimetal meets with ordered spin ice state in pyrochlore iridates by Gang Chen
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Symmetries and Anomalies in the Continuum and on the Lattice - Nathan Seiberg
IAS HIGH ENERGY THEORY SEMINAR Topic: Symmetries and Anomalies in the Continuum and on the Lattice Speaker: Nathan Seiberg Affiliation: Charles Simonyi Professor, School of Natural Sciences, IAS Date: April 7, 2023 Based on joint work with Meng Cheng (arXiv:2211.12543), we will discuss s
From playlist Natural Sciences
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
Quantum Phases of Matter XXI - Non-perturbative Luttinger relations - Subir Sachdev
Joint Course with TIFR, IAS and ICTS Quantum Phases of Matter XXI - Non-perturbative Luttinger relations - Subir Sachdev Speaker: Subir Sachdev Date: November 29, 2021 Table of Contents (powered by https://videoken.com) 0:00:00 Quantum Phases of Matter XXI - Non-perturbative Luttinger re
From playlist The Quantum Phases of Matter by Subir Sachdev
The Quantum Phases of Matter XXI: The non-perturbative Luttinger relations - Subir Sachdev
Joint Course with TIFR and IAS Topic: The non-perturbative Luttinger relations Speaker: Subir Sachdev Affiliation: Harvard University; Member, School of Natural Sciences, IAS Date: November 29, 2021
From playlist Natural Sciences
The Quantum Phases of Matter XX: The Luttinger Relation and the Fractionalized... - Subir Sachdev
Joint Course with TIFR and IAS The Quantum Phases of Matter XX: The Luttinger Relation and the Fractionalized Fermi Liquid Speaker: Subir Sachdev Affiliation: Harvard University; Member, School of Natural Sciences, IAS Date: November 17, 2021
From playlist Natural Sciences
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Lie groups: Poincare-Birkhoff-Witt theorem
This lecture is part of an online graduate course on Lie groups. We state the Poincare-Birkhoff Witt theorem, which shows that the universal enveloping algebra (UEA) of a Lie algebra is the same size as a polynomial algebra. We prove it for Lie algebras of Lie groups and sketch a proof of
From playlist Lie groups
Dominic Else - Emergent Symmetries and Anomalies in Metals: Luttinger's Theorem and Beyond
Séminaire organisé le 23 novembre 2021 Metals are an interesting class of gapless quantum many-body systems. Many metals are described by the famous "Fermi liquid theory" at low temperatures, but there are also many metallic materials for which Fermi liquid theory is an inadequate descrip
From playlist Quantum Encounters Seminar - Quantum Information, Condensed Matter, Quantum Field Theory
Chapter13_The_central_limit_theorem_vignette
In this lesson we take a look at what lies at the heart of inferential statistics: the central limit theorem. It describes the distribution of possible study means.
From playlist Learning medical statistics with python and Jupyter notebooks
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Anomalous transport in one-dimensional quantum systems by Vir Bulchandani
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Dynamical phase transitions in SYK-like models by Sumilan Banerjee
Bangalore Area Strings Meeting - 2017 TIME : 31 July 2017 to 02 August 2017 VENUE:Madhava Lecture Hall, ICTS Bangalore Bengaluru now has a large group of string theorists, with 9 faculty members in the area, between ICTS and IISc. This is apart from a large group of postdocs and graduate
From playlist Bangalore Area Strings Meeting - 2017
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