Algebraic numbers | Polynomials | Complex numbers | Cyclotomic fields
In mathematics, a principal n-th root of unity (where n is a positive integer) of a ring is an element satisfying the equations In an integral domain, every primitive n-th root of unity is also a principal -th root of unity. In any ring, if n is a power of 2, then any n/2-th root of −1 is a principal n-th root of unity. A non-example is in the ring of integers modulo ; while and thus is a cube root of unity, meaning that it is not a principal cube root of unity. The significance of a root of unity being principal is that it is a necessary condition for the theory of the discrete Fourier transform to work out correctly. (Wikipedia).
Elliptic Curves - Lecture 12a - The Weil pairing (construction)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 10 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
ME565 Lecture 2: Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions
ME565 Lecture 2 Engineering Mathematics at the University of Washington Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L02.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http
From playlist Engineering Mathematics (UW ME564 and ME565)
Elliptic Curves - Lecture 2 - Number Fields VS Elliptic Curves
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Kevin Buzzard (lecture 15/20) 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]
Seminar on Applied Geometry and Algebra (SIAM SAGA): Cynthia Vinzant
Title: Symmetry and Determinantal Polynomials Speaker: Cynthia Vinzant, University of Washington Date: Tuesday, January 11, 2022 at 11:00am Eastern Abstract: Symmetry appears in many ways in the study of matrix spaces and determinantal representations. A multivariate polynomial is called
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 14 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 21 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 01 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 17 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 12 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 20 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Roots of Unity (2 of 2: Insights from polar & exponential forms)
More resources available at www.misterwootube.com
From playlist Using Complex Numbers
Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial
VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-
From playlist Curves and abelian varieties over finite fields
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 11 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 02 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Complex Roots (1 of 5: Introduction)
More resources available at www.misterwootube.com
From playlist Complex Numbers
Elliptic Curves - Lecture 22b - The maximal abelian extension of exponent m unramified outside S
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 05 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Macdonald polynomials and decomposition numbers for finite unitary groups - Olivier Dudas
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Macdonald polynomials and decomposition numbers for finite unitary groups Speaker: Olivier Dudas Affiliation: Institut de mathématiques de Jussieu–Paris Rive Gauche Date: November 20, 2020 For more video pl
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory