In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (Wikipedia).
#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
The Cycloid - The Helen of Geometry
This video defines, shows how a cycloid is formed, and explains 4 interesting properties of a cycloid. http://mathispower4u.com
From playlist Mathematics General Interest
FIT3.2.1. Cyclotomic Polynomials
Typos noted by commenters: 7:45 - should be alpha is minimal over Q. 8:45 - Number 1, last line should read phi(alpha*beta) = phi(alpha)*phi(beta) Field Theory: We define cyclotomic polynomial as the minimal polynomials of roots of unity over the rationals. We show that the roots of t
From playlist Abstract Algebra
Logical difficulties with cyclotomic fields | Famous Math Problems 20c | N J Wildberger
The irreducibility of the general cyclotomic polynomials goes back to a lot of 19th century work starting with Gauss -- but unfortunately there are serious logical problems, arising from the temptation to embed cyclotomic fields, generated by so called "roots of unity", into the complex nu
From playlist Famous Math Problems
Calculus 2: Parametric Equations (10 of 20) What is a Cycloid? - Rolling Wheel
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain something unique to parametric equations for finding the positions of x and y. This involves a point on the edge of a rolling wheel tracing out a cycloid “shape” on a graph. Next video in the
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Trigonometry - Vocabulary of trigonometric functions
In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st
From playlist Trigonometry
What are four types of polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What are the names of different types of polygons based on the number of sides
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Anabelian Geometry - Inertia and Decomposition Groups (Part 1)
We discuss the statements about the recovery of inertia and decomposition groups of cusps. We will give proofs in the number field case of some statements. Proofs for finite extensions of QQ_p appear later. Twitter: @DupuyTaylor
From playlist Anabelian Geometry
Kevin Buzzard (lecture 12/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II - Ashay Burungale
Joint IAS/Princeton University Number Theory Seminar Topic: A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II Speaker: Ashay Burungale Affiliation: Universite Paris 13; Member, School of Mathematics Date: May 1, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Hanneke Wiersema, Minimal weights of mod-p Galois representations
VaNTAGe Seminar, April 12, 2022 License: CC-BY-NC-SA
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Peter Stevenhagen: Character sums for primitive root densities
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
Florian Herzig: On de Rham lifts of local Galois representations
Find other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies,
From playlist Algebraic and Complex Geometry
Inertia and Decomposition Groups (part 2)
A continuation of the previous video.
From playlist Anabelian Geometry
Kevin Buzzard (lecture 16/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Non-commutative Twisted Euler characteristic in Iwasawa theory by Sudhanshu Shekhar
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Modular symbols and arithmetic - Romyar Sharifi
Locally Symmetric Spaces Seminar Topic: A Modular symbols and arithmetic Speaker: Romyar Sharifi Affiliation: niversity of California; Member, School of Mathematics Date: January 23, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics