Brill-Noether part 4: Noether's Theorem
From playlist Brill-Noether
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
This talk is about some properties of plane curves used in the Riemann-Roch theorem. We first show that every nonsingular curve is isomorphic to a resolution of a plane curve with no singularities worse than ordinary double points (nodes). We then calculate the genus of plane curves with o
From playlist Algebraic geometry: extra topics
Emmy Noether: breathtaking mathematics - Georgia Benkart
Celebrating Emmy Noether Topic: Emmy Noether: breathtaking mathematics Speaker: Georgia Benkart Affiliation: University of Wisconsin-Madison Date: Friday, May 6 By the mid 1920s, Emmy Noether had made fundamental contributions to commutative algebra and to the theory of invariants.
From playlist Celebrating Emmy Noether
The most beautiful idea in physics - Noether's Theorem
Homework: -What do you think of this idea? Have you heard of it before? -Maybe you’ve heard about things like super symmetry in physics- try find out how that’s related. -If you know some calculus and classical physics, try and find a proof of this theorem. -Try come up with strange sys
From playlist Some Quantum Mechanics
2022's Biggest Breakthroughs in Math
Mathematicians made major progress in 2022, solving a centuries-old geometry question called the interpolation problem, proving the best way to minimize the surface area of clusters of three, four and five bubbles, and proving a sweeping statement about how structure emerges in random sets
From playlist Discoveries
Hannah Larson - A refined Brill-Noether theory over Hurwitz spaces - AGONIZE miniconference
The celebrated Brill-Noether theorem says that the space of degree d maps of a general genus g curve to ℙr is irreducible. However, for special curves, this need not be the case. Indeed, for general k-gonal curves (degree k covers of ℙ1), this space of maps can have many components, of dif
From playlist Arithmetic Geometry is ONline In Zoom, Everyone (AGONIZE)
algebraic geometry 9 The Lasker Noether theorem
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes the Lasker-Noether theorem expressing an ideal as an intersection of primary ideals.
From playlist Algebraic geometry I: Varieties
Noether's Theorem and The Symmetries of Reality
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE To learn more about Brilliant, you can go to https://brilliant.org/spacetime/ Conservation laws are among the most important tools in physics. They feel as fundament
From playlist Space Time!
Marc Hindry: Brauer-Siegel theorem and analogues for varieties over global fields
Abstract: The classical Brauer-Siegel theorem can be seen as one of the first instances of description of asymptotical arithmetic: it states that, for a family of number fields Ki, under mild conditions (e.g. bounded degree), the product of the regulator by the class number behaves asympt
From playlist Algebraic and Complex Geometry
This public lecture will celebrate Emmy Noether, one of the first Visitors at the Institute from 1933–35, and a highly prolific mathematician who published groundbreaking papers in rarefied fields of abstract algebra and ring theory. Georgia Benkart, Member (1996) in the School of Mathemat
From playlist Mathematics
Weil conjectures 3: Riemann hypothesis
This talk is about the Stepanov-Bombieri proof of the Riemann hypothesis for curves over a finite field. The proof works by finding a nonzero function that vanishes to high order at all points of the curve defined over the finite field Fq, and has a single pole of known order. The proof is
From playlist Algebraic geometry: extra topics
Noether's theorems and their growing physical relevance by Joseph Samuel
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
Brill-Noether part 2: Castelnuovo's Inequality
From playlist Brill-Noether
A Legendary Mathematician: Emmy Noether
In this video I talk briefly about the life a very famous mathematician. Her name was Emmy Noether and she made many contributions to the field of mathematics. I hope you enjoyed this video:) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My
From playlist The History of Mathematics
Riemann Roch: structure of genus 1 curves
This talk is about the Riemann Roch theorem in the spacial case of genus 1 curves or Riemann surface. We show that a compact Riemann surface satisfying the Riemann Roch theorem for g=1 is isomorphic to a nonsingular plane cubic. We show that this is topologically a torus, and use this to s
From playlist Algebraic geometry: extra topics
Symmetries & Conservation Laws: A (Physics) Love Story
There is a deep connection in physics between symmetries of nature and conservation laws, called Noether's theorem. In this physics lesson I'll show you how it works. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up The relationship between symmetries and c
From playlist Hamiltonian Mechanics Sequence
Calculus 6.1 Areas Between Curves
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus