Algebraic Expressions (Basics)
This video is about Algebraic Expressions
From playlist Algebraic Expressions and Properties
Stabilizer in abstract algebra
In the previous video we looked at the orbit of a set. To work towards the orbit stabilizer theorem, we take a look at what a stabilizer is in this video.
From playlist Abstract algebra
Polynumbers and de Casteljau Bezier curves | Algebraic Calculus and dCB curves | N J Wildberger
The Algebraic Calculus is an exciting new approach to calculus, not reliant on "infinite processes" and "real numbers". The central objects are polynomially parametrized curve, which turn out to be the same as the de Casteljau Bezier curves which play such a big role in design, animation,
From playlist Algebraic Calculus One Info
Jean-Baptiste Teyssier: Skeletons and moduli of Stokes torsors
Abstract: In the local classification of differential equations of one complex variable, torsors under a certain sheaf of algebraic groups (the Stokes sheaf) play a central role. On the other hand, Deligne defined in positive characteristic a notion of skeletons for l-adic local systems on
From playlist Analysis and its Applications
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg
This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on
From playlist Algebraic Calculus One from Wild Egg
A Peek at Signed Areas: The Algebraic Calculus One course
The Algebraic Calculus One course is purely online at Open Learning, and gives a novel and careful approach to the classical subject of Calculus, but without infinite processes or real numbers. In this video we have a look at the course, in particular the Chapter on Signed Areas, which giv
From playlist Algebraic Calculus One Info
Arithmetic statistics and graded Lie algebras - Jef Laga
Joint IAS/Princeton University Number Theory Seminar Topic: Arithmetic statistics and graded Lie algebras Speaker: Jef Laga Affiliation: University of Cambridge Date: March 17, 2022 I will explain how various results in arithmetic statistics by Bhargava, Gross, Shankar and others on 2-Se
From playlist Mathematics
Marta Pieropan, The split torsor method for Manin’s conjecture
See https://tinyurl.com/y98dn349 for an updated version of the slides with minor corrections. VaNTAGe seminar 20 April 2021
From playlist Manin conjectures and rational points
Yuri Tschinkel, Height zeta functions
VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Piotr M. Hajac: Braided noncommutative join construction
We construct the join of noncommutative Galois objects (quantum torsors) over a Hopf algebra H. To ensure that the join algebra enjoys the natural (diagonal) coaction of H, we braid the tensor product of the Galois objects. Then we show that this coaction is principal. Our examples are bui
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
The Rotor-Routing Sandpile Torsor: A Case Study into Research Mathematics
I wanted to share my area of research with a wide variety of math enthusiasts! Learn about chip-firing, sandpile groups, and the matrix-tree theorem in our quest to find a sandpile torsor! This is also my submission to the Summer of Math Exposition. Thanks Grant Sanderson for putting the e
From playlist Summer of Math Exposition Youtube Videos
Alexander Vishik: Subtle Stiefel-Whitney classes and the J-invariant of quadrics
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
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Complex numbers and curves | Math History | NJ Wildberger
In the 19th century, the study of algebraic curves entered a new era with the introduction of homogeneous coordinates and ideas from projective geometry, the use of complex numbers both on the curve and at infinity, and the discovery by the great German mathematician B. Riemann that topolo
From playlist MathHistory: A course in the History of Mathematics
Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg
Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c
From playlist Algebraic Calculus One
Conformal Limits of Parabolic Higgs Bundles by Richard Wentworth
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Francesca Balestrieri, The arithmetic of zero-cycles on products of K3 surfaces and Kummer varieties
VaNTAGe seminar, March 9, 2021
From playlist Arithmetic of K3 Surfaces
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
Wei Ho: Explicit models of genus one curves and related problems
CIRM HYBRID EVENT We discuss various explicit models of genus one curves, some classical and some a little less so, with an eye towards applications in number theory and arithmetic geometry. In particular, we will talk about how understanding such models has shed light on many kinds of pro
From playlist Algebraic and Complex Geometry
Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)