Zeta and L-functions | Number theory | Representation theory
In mathematics, the Artin conductor is a number or ideal associated to a character of a Galois group of a local or global field, introduced by Emil Artin as an expression appearing in the functional equation of an Artin L-function. (Wikipedia).
We Love Opera! Who is the maestro at the opera?
A quick definition of "maestro." It's the "master." You know, the fellow with the baton! Want to go to the opera, but you're not sure you'll understand what's going on? "We Love Opera" is a video series from Socratica that will help you understand what opera is all about. Opera can b
From playlist Opera Glossary
Symphony of the Rings - Linking Rings
With some moves from Jeff McBride and Dan Harlan
From playlist My Magic
The Mandelbrot set is a churning machine
Its job is to fling off the red pixels and hang onto the green ones. Audio by @Dorfmandesign
From playlist mandelstir
Andrew Sutherland, Arithmetic L-functions and their Sato-Tate distributions
VaNTAGe seminar on April 28, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Ila Varma, Counting quartic number fields and predicting asymptotics
VaNTAGe Seminar, June 14, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Davenport-Heilbronn I: https://doi.org/10.1112/blms/1.3.345 Davenport-Heilbronn II: http://www.math.toronto.edu/~ila/DH2.pdf Wright: https://doi.org/10.1112/plms/s3-58.1.17 Baily: http
From playlist Arithmetic Statistics II
Edward T. Cone Concert Series Conversation - Meredith Monk & David Lang
More videos on http://video.ias.edu
From playlist Edward T. Cone Concert Series Discussion
Hypergeometric Motives - Fernando Villegas
Fernando Villegas University Texas at Austin March 15, 2012 The families of motives of the title arise from classical one-variable hypergeometric functions. This talk will focus on the calculation of their corresponding L-functions both in theory and in practice. These L-functions provide
From playlist Mathematics
We Love Opera! Who is the tenor at the opera?
Which singers in an opera are the tenors? Here's a quick answer. Want to go to the opera, but you're not sure you'll understand what's going on? "We Love Opera" is a video series from Socratica that will help you understand what opera is all about. Opera can be exciting, funny, sad, and
From playlist Opera Glossary
p-adic Artin Formalism for the Triple Product of Modular Forms by Aprameyo Pal
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)
Thomas Oliver - 'The Moment' (Weissenborn Instrumental)
A Weissenborn instrumental named 'The Moment' by Thomas Oliver. Listen on Spotify: https://open.spotify.com/artist/5ZwD9tfnJ04kM0qgPSMzgy Free guitar tab for this song here: https://www.thomasoliver.co.nz/guitar-tabs 'The Moment' (written and performed by Thomas Oliver) from the album,
From playlist Music
Kieran Child - Computation of weight 1 modular forms
A major achievement of modern number theory is the proof of a bijection between odd, irreducible, 2-dimensional Artin representations and holomorphic weight 1 Hecke eigenforms. Despite this result, concrete examples have proven difficult to produce owing to weight 1 being non-cohomological
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
This is another master piece by İzzet Özgöçmen. I had privileged to take this video with his permission. I enjoyed this solar powered cable car.
From playlist Izzet Özgöçmen
Vortrag "Wo steht die mathematische Forschung?"
Im Jahr 2000 veröffentlichte das Clay Mathematics Institute eine Liste von sieben großen mathematischen Problemen. Diese Millennium-Probleme wurden damals als die zentralen Fragen der Mathematik angesehen. Sie sind – mit nur einer Ausnahme, der Poincaré-Vermutung – bis heute ungelöst. Zu d
From playlist Riemannsche Vermutung
INTERVIEW AT CIRM : MICHAEL ARTIN
Michael ARTIN participated in the "Artin Approximation and Infinite dimensional Geometry" event organized at CIRM in March 2015, which was part of the Jean-Morlet semester held by Herwig Hauser. Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Ins
From playlist Jean-Morlet Chair's guests - Interviews
The André-Oort conjecture follows from the Colmez conjecture - Jacob Tsimerman
Jacob Tsimerman University of Toronto April 9, 2015 The André-Oort conjecture says that any subvariety of a Shimura variety with a Zariski dense set of CM points must itself be a Shimura subvariety. In recent years, this has been the subject of much work. We explain how this conjecture fo
From playlist Mathematics
Rose Morris-Wright: Parabolic Subgroups of Infinite Type Artin Groups
Abstract : Parabolic subgroups are the fundamental building blocks of Artin groups. These subgroups are isomorphic copies of smaller Artin groups nested inside a given Artin group. In this talk, I will discuss questions surrounding how parabolic subgroups sit inside Artin groups and how th
From playlist Virtual Conference
ACTINIDES - a quick definition
A quick definition of the actinides. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.
From playlist Chemistry glossary
We Love Opera! Who is the chorus at the opera?
What's the role of the chorus in the opera? Want to go to the opera, but you're not sure you'll understand what's going on? "We Love Opera" is a video series from Socratica that will help you understand what opera is all about. Opera can be exciting, funny, sad, and beautiful. Opera is
From playlist Opera Glossary
Commutative algebra 26 (Examples of Artinian 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. In this lecture we give some examples or Artin rings and write them as products of local rings. The examples include some Arti
From playlist Commutative algebra