Landau's problems

Yitang Zhang and The Landau-Siegel Zero Problem in Number Theory [2019] (in Chinese)

Abstract: As a special and (probably) much weaker form of the Generalized Riemann Hypothesis, the Landau-Siegel zero problem has its own interest and amazing applications in number theory. In this talk we will introduce its history and applications. In particular, it will be explained why

From playlist Number Theory

B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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

Triangle Median: Challenge Problem

Link: https://www.geogebra.org/m/jESRWymr BGM: Andy Hunter

From playlist Geometry: Challenge Problems

Problem #3 - Swinging Pendulum

Problem #3 - Swinging Pendulum

From playlist Bi-weekly Physics Problems

The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture

The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians

From playlist Math

Light and Optics 5_2 Refractive Surfaces

Problems involving refractive surfaces.

From playlist Physics - Light and Optics

Problems with the Calculus | Math History | NJ Wildberger

We discuss some of the controversy and debate generated by the 17th century work on Calculus. Newton and Leibniz's ideas were not universally accepted as making sense, despite the impressive, even spectacular achievements that the new theory was able to demonstrate. In this lecture we di

From playlist MathHistory: A course in the History of Mathematics

Introduction to Solid State Physics, Lecture 21: Physics of Two-Dimensional Systems

Upper-level undergraduate course taught at the University of Pittsburgh in the Fall 2015 semester by Sergey Frolov. The course is based on Steven Simon's "Oxford Solid State Basics" textbook. Lectures recorded using Panopto, to see them in Panopto viewer follow this link: https://pitt.host

From playlist Introduction to Solid State Physics

Many-Body Localization in the Quantum Hall Regime by Ravin Bhatt

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

RKKY Interactions on Dirac Surfaces by Herbert A Fertig

DISCUSSION MEETING : EDGE DYNAMICS IN TOPOLOGICAL PHASES ORGANIZERS : Subhro Bhattacharjee, Yuval Gefen, Ganpathy Murthy and Sumathi Rao DATE & TIME : 10 June 2019 to 14 June 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore Topological phases of matter have been at the forefront of r

From playlist Edge dynamics in topological phases 2019

From Single Particle Localization to Many-Body Localization (Lecture 8) by Ravindra N Bhatt

SEMINAR LECTURE 8: MANY-BODY LOCALIZATION IN THE QUANTUM HALL REGIME SPEAKER Ravindra N Bhatt (Princeton University and TIFR) DATE & TIME Thu, 23 February 2023, 15:30 to 17:00 VENUE Emmy Noether Seminar Room and Online RESOURCES ABSTRACT This is a series of eight lectures covering sever

From playlist ICTS Joint Lecture Series 2023

SummerSchool 20060731 1000 Darmon - Elliptic curves and modular forms

From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"

Topological Phase Transitions in the Quantum Hall Effect by Prashant Kumar

COLLOQUIUM : TOPOLOGICAL PHASE TRANSITIONS IN THE QUANTUM HALL EFFECT SPEAKER : Prashant Kumar ( Princeton University) DATE : 21 February 2023, 11:30 VENUE : Emmy Noether Seminar Room & Online RESOURCES : ABSTRACT Phase transitions involving topological phases of matter are a rich set

From playlist ICTS Colloquia

Min-max solutions of the Ginzburg-Landau equations on closed manifolds - Daniel Stern

Variational Methods in Geometry Seminar Topic: Min-max solutions of the Ginzburg-Landau equations on closed manifolds Speaker: Daniel Stern Affiliation: Princeton University Date: February 12, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

From Single Particle Localization to Many-Body Localization (Lecture 7) by Ravindra N Bhatt

SEMINAR : LECTURE 7: TOPOLOGY AND LOCALIZATION: THE QUANTUM HALL REGIME SPEAKER : Ravindra N Bhatt (Princeton University and TIFR) DATE : 21 February 2023, 15:30 to 17:00 VENUE : Emmy Noether Seminar Room and Online RESOURCES: ABSTRACT This is a series of eight lectures covering severa

From playlist ICTS Joint Lecture Series 2023

L14.3 Particle in a constant magnetic field: Landau levels

MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L14.3 Particle in a constant magnetic field: Landau levels License: Crea

From playlist MIT 8.06 Quantum Physics III, Spring 2018

4. Resonance IV

MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this lecture, the professor discussed about quantized spin in a magnetic field and Landau-Zener problem. License: Creative Commons BY-NC-SA More info

From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014

The problem with `functions' | Arithmetic and Geometry Math Foundations 42a

[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct

From playlist Math Foundations

Kelvin circulation theorem, dynamic metric and the fractional quantum Hall effect by Dam Thanh Son

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019