In number theory, a genus character of a quadratic number field K is a character of the genus group of K. In other words, it is a real character of the narrow class group of K. Reinterpreting this using the Artin map, the collection of genus characters can also be thought of as the unramified real characters of the absolute Galois group of K (i.e. the characters that factor through the Galois group of the genus field of K). (Wikipedia).
Phylum Rotifera Part 1: General Characteristics
It's time to wrap up our study of Gnathifera, and this means investigating phylum Rotifera. These are the wheel animals, and we will need a few tutorials to get through them all. Some species are free-living and some are parasitic, and you've probably had some in your body, since they're p
From playlist Zoology
The Story of Chinese Character :姓
姓 composes of a 女 (woman) and 生 (birth). In the past, when China was matriarchal society, surname was given by mother since everyone was bred by mother only. Although now we inherit the surname from our fathers, 姓 is still used to represent the meaning of surname.
From playlist The Story of HanZi (Chinese Characters)
Phylum Platyhelminthes Part 1: General Characteristics
The first phylum within Spiralia that we will investigate is Platyhelminthes. These are the so-called flatworms. What are their characteristics? What are the clades within this phylum? Let's set ourselves up for a thorough investigation! Script by Ryan Helcoski Watch the whole Zoology pl
From playlist Zoology
What Is A Species? | Evolution | Biology | FuseSchool
Carl Linnaeus classified all living things into groups based upon their physical features. His system placed organisms with the most similar characteristics together in a group he called the “species”. A species is defined as all organisms that are able to breed with one another, and mos
From playlist BIOLOGY: Evolution
How Do Dinosaurs Get Their Names?
Giving any living or extinct organism a scientific name is governed by a set of rules called the International Code of Zoological Nomenclature, and paleontologists who name dinosaurs must follow those rules to make the name valid. Although this process may seem unnecessary, it is extremely
From playlist Dinosaurs Explained
New species of lifeforms are being discovered and described on our planet every single day -- but, when we talk about a species, what are we really referring to? Turns out, the answer is... complicated. This video is by no means comprehensive. Species concepts are some of the most complex
From playlist The Brain Scoop: Recent Uploads
Dyon degeneracies from Moonshine by Justin David
Bangalore Area Strings Meeting - 2017 TIME : 31 July 2017 to 02 August 2017 VENUE:Madhava Lecture Hall, ICTS Bangalore Bengaluru now has a large group of string theorists, with 9 faculty members in the area, between ICTS and IISc. This is apart from a large group of postdocs and graduate
From playlist Bangalore Area Strings Meeting - 2017
Kac polynomials and Lie algebras associated to quivers and curves – Olivier Schiffmann – ICM2018
Lie Theory and Generalizations Invited Lecture 7.1 Kac polynomials and Lie algebras associated to quivers and curves Olivier Schiffmann Abstract: We provide an explicit formula for the following enumerative problem: how many (absolutely) indecomposable vector bundles of a given rank r an
From playlist Lie Theory and Generalizations
Anne TAORMINA - Mathieu Moonshine: Symmetry Surfing and Quarter BPS States at the Kummer Point
The elliptic genus of K3 surfaces encrypts an intriguing connection between the sporadic group Mathieu 24 and non-linear sigma models on K3, dubbed “Mathieu Moonshine”. By restricting to Kummer K3 surfaces, which may be constructed as Z2 orbifolds of complex 2-tori with blown up singularit
From playlist Integrability, Anomalies and Quantum Field Theory
David Nadler: Betti Langlands in genus one
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 Algebraic and Complex Geometry
Di Yang: Hodge-GUE Correspondence
An explicit relationship between certain cubic Hodge integrals on the Deligne–Mumford moduli space of stable algebraic curves and connected GUE correlators of even valencies, called the Hodge–GUE correspondence, was recently discovered. In this talk, we prove this correspondence by using t
From playlist Probability and Statistics
The standard L-function of Siegel modular forms and applications (Lecture 2) by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
Manami Roy, Challenges and usefulness of creating a database of groups in LMFDB
VaNTAGe Seminar on Dec 8, 2020 License CC-BY-NC-SA
From playlist ICERM/AGNTC workshop updates
O. Shiffmann - Géométrie énumérative de fibrés vectoriels sur une courbe et théorie de Lie
Combien y a-t-il de fibrés vectoriels indécomposables de rang 6 et de degré 3 sur une courbe projective lisse de genre 23, définie sur un corps fini a 125 éléments ? Quels sont les nombres de Betti de l'espace de module des représentations (tordues) du groupe fondamental de cette même cour
From playlist 70 ans des Annales de l'institut Fourier
Charles Rezk: Elliptic cohomology and elliptic curves (Part 1)
The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 1. June 2015
From playlist HIM Lectures 2015
John Voight :On some families of Jacobians with definite quaternionic multiplication
CONFERENCE Recording during the thematic meeting : « Symposium on Arithmetic Geometry and its Applications» the February 09, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid
From playlist Algebraic and Complex Geometry
The Story of Chinese Character :身
身 depicts a whole human profile, emphasizes the human body.
From playlist The Story of HanZi (Chinese Characters)