The Artin reciprocity law, which was established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms a central part of global class field theory. The term "reciprocity law" refers to a long line of more concrete number theoretic statements which it generalized, from the quadratic reciprocity law and the reciprocity laws of Eisenstein and Kummer to Hilbert's product formula for the norm symbol. Artin's result provided a partial solution to Hilbert's ninth problem. (Wikipedia).
Richard Taylor "Reciprocity Laws" [2012]
Slides for this talk: https://drive.google.com/file/d/1cIDu5G8CTaEctU5qAKTYlEOIHztL1uzB/view?usp=sharing Richard Taylor "Reciprocity Laws" Abstract: Reciprocity laws provide a rule to count the number of solutions to a fixed polynomial equation, or system of polynomial equations, modu
From playlist Number Theory
The idea of ‘atonement’ sounds very old-fashioned and is deeply rooted in religious tradition. To atone means, in essence, to acknowledge one’s capacity for wrongness and one’s readiness for apology and desire for change. It’s a concept that every society needs at its center. For gifts and
From playlist RELATIONSHIPS
Evaluating Recurrence Relations (1 of 4: When do you apply Recurrence Relations?)
More resources available at www.misterwootube.com
From playlist Further Integration
Reciprocity laws for torsion classes - Ana Caraiani
Members' Seminar Topic: Reciprocity laws for torsion classes Speaker: Ana Caraiani Affliation: IAS School of Mathematics Date: October 31, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Recurrence Relation - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
John Tate - The Abel Prize interview 2010
0:00 Glimpses of the Abel Prize ceremony [In Norwegian] 0:23 Speech by Nils Christian Stenseth, President of the Norwegian Academy of Science and Letters [In Norwegian] 1:15 Tate Receives the Abel Prize from His Majesty King Harald V of Norway 1:41 Interview start [English]. Your father wa
From playlist John T. Tate
Recurrence Relation Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
Law of reciprocity to make your teacher like you
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From playlist Math Shorts
p-adic Artin L-function over a CM-field by Tadashi Ochiai
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)
HLF Laureate Portraits: John Torrence Tate
The Heidelberg Laureate Forum Foundation presents the HLF Laureate Portraits: John Torrence Tate, Abel Prize, 2010. Interview recorded in 2016. In this series, join us as we meet with the top mathematicians and computer scientists – recipients of the Abel Prize, the ACM A.M. Turing Award
From playlist John T. Tate
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From playlist Interesting Sums
James Arthur: The Langlands program: arithmetic, geometry and analysis
Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene
From playlist Abel Lectures
Real Analysis | Isolated points
We give the definition of an isolated point of a subset of real numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph College Math: http://www.ran
From playlist Real Analysis
a nice integral and an important ignored constant
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From playlist Interesting Integrals
Mexican Regional Mathematical Olympiad | 2006 Q6
We present a solution to a problem involving repeated composition of functions. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Randolph College
From playlist Math Contest Problems