Local Class Field Theory on Crack
If K/QQ_p is a finite extension, local class field theory tells us that the abelianization of its absolute galois group G_K ^{ab} is isomorphic to the profinite completion of the units in K. But wait there's more! One can reconstruct: *the units of the residue field (completed) *the units
From playlist Anabelian Geometry
Field Theory: We give a brief review of some of the main results on fields in basic ring theory and give examples to motivate field theory. Examples include field automorphisms for the rational polynomials x^2-2 and x^3-2.
From playlist Abstract Algebra
Localization of Rings as Localizations of Categories
We show what it means to localize a category at a set of morphisms and show that usual localization of rings is an instance of this definition.
From playlist Category Theory
Commutative algebra 60: Regular local rings
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define regular local rings as the local rings whose dimension is equal to the dimension of their cotangent space. We give s
From playlist Commutative algebra
Abstract: An F-field on a manifold M is a local system of algebraically closed fields of characteristic p. You can study local systems of vector spaces over this local system of fields. On a 3-manifold, they’re rigid, and the rank one local systems are counted by the Alexander polynomial.
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
Worldwide Calculus: Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Commutative algebra 56: Hilbert polynomial versus system of parameters
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we show that the dimension of a local ring, defined using Hilbert polynomials, is at most the dimension define
From playlist Commutative algebra
Problems in the theory of automorphic forms: 45 years later - Robert Langlands
Topic: Problems in the theory of automorphic forms: 45 years later Part I Speaker: Robert Langlands Date: 2014
From playlist Mathematics
Robert Langlands, Problems in the theory of automorphic forms: 45 years later (1/3) [2014]
For an Oxford conference last week, (https://www.maths.nottingham.ac.uk/personal/ibf/files/S&C-schedule.html) Langlands contributed a one-hour video talk, filmed in his office. One hour was not enough, so hours two and three are also available, as well as a separate text 9https://publicati
From playlist Number Theory
On a Hecke algebra isomorphism of Kazhdan by Radhika Ganapathy
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Some Arithmetic Path Integrals - Minhyong Kim
Informal High Energy Theory Seminar Topic: Some Arithmetic Path Integrals Speaker: Minhyong Kim Affiliation: Oxford University Date: April 3, 2019 For more video please visit http://video.ias.edu
From playlist High Energy Theory
Secondary products in SUSY QFT by Tudor Dimofte
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
David Ben-Zvi: Boundary conditions and hamiltonian actions in geometric Langlands
SMRI Algebra and Geometry Online: ‘Boundary conditions and hamiltonian actions in geometric Langlands’ David Ben-Zvi (University of Texas at Austin)
From playlist SMRI Algebra and Geometry Online
Potential automorphy of Ĝ-local systems – Jack Thorne – ICM2018
Number Theory Invited Lecture 3.12 Potential automorphy of Ĝ-local systems Jack Thorne Abstract: Vincent Lafforgue has recently made a spectacular breakthrough in the setting of the global Langlands correspondence for global fields of positive characteristic, by constructing the ‘automor
From playlist Number Theory
Kevin Buzzard (lecture 4/20) 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]
Commutative algebra 61: Examples of regular local rings
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We give some examples of regular local rings. We first give an example of a regular local ring that is not geometrically regul
From playlist Commutative algebra
Richard Thomas - The Katz-Klemm-Vafa formula
Richard THOMAS (Imperial College London, UK)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur