Unsolved problems in number theory | Transcendental numbers | Exponentials | Conjectures

Schanuel's conjecture

In mathematics, specifically transcendental number theory, Schanuel's conjecture is a conjecture made by Stephen Schanuel in the 1960s concerning the transcendence degree of certain field extensions of the rational numbers. (Wikipedia).

Video thumbnail

Dealing with Schrodinger's Equation - The Hamiltonian

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Schrodinger's

From playlist Quantum Mechanics

Video thumbnail

The Schrodinger equation made simple | Linearity

We've talked about the quantum state plenty- but what happens to it over time? That's exactly the question the Schrodinger equation solves. This video we talk about 'Linearity'. In the next video we discuss the equation itself and its derivation. Click here fore that: https://youtu.be/DEgW

From playlist Quantum Mechanics (all the videos)

Video thumbnail

Ax-Schanuel for Shimura varieties - J. Pila- Workshop 3 - CEB T1 2018

Jonathan Pila (Oxford) / 27.03.2018 Ax-Schanuel for Shimura varieties In 1971, Ax proved functional versions of Scahanuel’s conjecture for the expoential function, including in the setting of differential fields. This result is known as “Ax-Schanuel”. I will describe joint work with N. M

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

Video thumbnail

What is the Schrödinger Equation? A basic introduction to Quantum Mechanics

This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variab

From playlist Quantum Physics

Video thumbnail

Physicist Explains Wikipedia Page: The Schrodinger Equation

Why are Wikipedia Physics pages so difficult to understand? Hey guys, I'm back with a new video! This time, I'm looking at how certain Wikipedia pages can be so complicated to understand, and so here's a Wikipedia page made easy! Now I can totally understand that a wiki page is meant to p

From playlist Quantum Physics by Parth G

Video thumbnail

Quantum Mechanics and the Schrödinger Equation

Okay, it's time to dig into quantum mechanics! Don't worry, we won't get into the math just yet, for now we just want to understand what the math represents, and come away with a new and improved view of the electron as both a circular standing wave and a cloud of probability density. Spoo

From playlist Modern Physics

Video thumbnail

Separation of variables and the Schrodinger equation

A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/

From playlist Mathematical Physics II - Youtube

Video thumbnail

Marta Pieropan, The split torsor method for Manin’s conjecture

See https://tinyurl.com/y98dn349 for an updated version of the slides with minor corrections. VaNTAGe seminar 20 April 2021

From playlist Manin conjectures and rational points

Video thumbnail

O-minimality and Ax-Schanuel properties - Jonathan Pila

Hermann Weyl Lectures Topic: O-minimality and Ax-Schanuel properties Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 24, 2018 For more video please visit http://video.ias.edu

From playlist Hermann Weyl Lectures

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Differential geometry of the Torelli map (Lecture 2) 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

Video thumbnail

The Schrodinger Equation is (Almost) Impossible to Solve.

Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th

From playlist Quantum Physics by Parth G

Video thumbnail

Jonathan Pila - Multiplicative relations among singular moduli

December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. I will report on some joint work with Jacob Tsimerman concerning multiplicative relations among singular moduli. Our results rely on the "Ax-Schanuel'' theorem for the j

From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday

Video thumbnail

Mertens Conjecture Disproof and the Riemann Hypothesis | MegaFavNumbers

#MegaFavNumbers The Mertens conjecture is a conjecture is a conjecture about the distribution of the prime numbers. It can be seen as a stronger version of the Riemann hypothesis. It says that the Mertens function is bounded by sqrt(n). The Riemann hypothesis on the other hand only require

From playlist MegaFavNumbers

Video thumbnail

Bergman kernel and period map for curves by Carolina Tamborini

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

Video thumbnail

Differential geometry of the Torelli map (Lecture 3) 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

Video thumbnail

Holomorphic one forms on the Moduli Space of Curves by Gianpietro Pirola

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

Video thumbnail

Physics - Chapt. 66 Quantum Mechanics (8 of 9) Schrodinger's Equation

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce Schrodinger and explain his partial differential equation describing how the quantum state changes with time. Next video in the series can be seen at: https://youtu.be/lptfhi_cQLc

From playlist PHYSICS 66 - QUANTUM MECHANICS

Related pages

Abelian variety | Gelfond–Schneider theorem | James Ax | Formal power series | Four exponentials conjecture | Infinitary logic | Transcendence degree | Mumford–Tate group | Tarski's exponential function problem | Algebraic number | Linear independence | Model theory | Rational number | Hrushovski construction | Exponential function | Transcendental number theory | Exponential field | Decidability (logic) | Field extension | Euler's identity | Lindemann–Weierstrass theorem | Characteristic (algebra) | Mathematics | Field (mathematics) | Real number | Cyclic group | Baker's theorem | Motive (algebraic geometry) | Exponential polynomial | Complex number | Group homomorphism | Kernel (algebra) | Cardinality