In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin map. (Wikipedia).
Physics - E&M: Ch 35.1 Coulumb's Law Explained (2 of 28) What is a Conductor?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a conductor. A conductor is an object made of conducting material through which charges move easily. Typically a metal, whose valence electrons are easily moved. Next video in this se
From playlist PHYSICS 35.1 COULOMB'S LAW EXPLAINED
Quantum field theory, Lecture 2
This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2
From playlist Quantum Field Theory
Theorem 1.10 - part 11 - The Relation Between Conductors and Discriminants
In this video we apply the Serre-Tate Theorem to explain the relationship between the discriminant of the field of l-torsion (or any torsion really) and the conductor of an abelian variety.
From playlist Theorem 1.10
18.3 Conductors and Insulators
This video covers Section 18.3 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced
From playlist Lecture 18A. Electric Forces and Electric Fields
This video tutorial lesson describes the difference between a conductor and an insulator using numerous illustrations and examples. The effect that being a conductor or an insulator has upon the electrostatic behavior of objects is explained. You can find more information that supports th
From playlist Static Electricity Tutorial Series
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
Quantum field theory, Lecture 1
*UPDATE* Lecture notes available! https://github.com/avstjohn/qft Many thanks to Dr. Alexander St. John! This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical p
From playlist Quantum Field Theory
Francis Brown - Quantum Field Theory and Arithmetic
Quantum Field Theory and Arithmetic
From playlist 28ème Journées Arithmétiques 2013
Heegner Points 1 by Francesc Castella
PROGRAM : ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (ONLINE) ORGANIZERS : Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) DA
From playlist Elliptic Curves and the Special Values of L-functions (ONLINE)
Introduction to number theory lecture 30. Fields in number theory
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We extend some of the results we proved about the integers mod p to more general fields.
From playlist Introduction to number theory (Berkeley Math 115)
CTNT 2020 - CM Points on Modular Curves: Volcanoes and Reality - Pete Clark
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Special Values of Zeta Functions (Lecture 2) by Matthias Flach
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Stark-Heegner points and generalised Kato classes by Henri Darmon
12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
CTNT 2018 - "Computational Number Theory" (Lecture 3) by Harris Daniels
This is lecture 3 of a mini-course on "Computational Number Theory", taught by Harris Daniels, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Computational Number Theory" by Harris Daniels
On Class Number of Number Fields by Debopam Chakraborty
12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
Christopher Frei: Constructing abelian extensions with prescribed norms
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 24, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Colin Bushnell - Simple characters and ramification
Let F be a non-Archimedean local field of residual characteristic p. For anyinteger n more than 1, one has the detailed classification of the irreducible cuspidal representations of GLn(F) from Bushnell- Kutzko. I report on the most recent phase of a joint programme with Guy Henniart inves
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Physics 37 Gauss's Law (4 of 16) Electric Field Outside a Conductor
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the electric field outside a conductor.
From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
Peter Sarnak "Some analytic applications of the trace formula before and beyond endoscopy" [2012]
2012 FIELDS MEDAL SYMPOSIUM Date: October 17, 2012 11.00am-12.00pm We describe briefly some of the ways in which the trace formula has been used in a non comparative way. In particular we focus on families of automorphic L-functions symmetries associated with them which govern the distrib
From playlist Number Theory