In algebra, specifically in the theory of commutative rings, Serre's inequality on height states: given a (Noetherian) regular ring A and a pair of prime ideals in it, for each prime ideal that is a minimal prime ideal over the sum , the following inequality on heights holds: Without the assumption on regularity, the inequality can fail; see scheme-theoretic intersection#Proper intersection. (Wikipedia).
Serre's Conjectures on the Number of Rational Points of Bounded Height - Per Salberger
Per Salberger Chalmers University of Technology April 28, 2011 JOINT IAS/PU NUMBER THEORY SEMINAR We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determin
From playlist Mathematics
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Comparing Z-Scores
From playlist Statistics
Algebra - Ch. 31: Linear Inequality in 2 Variables (2 of 14) Differences
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between “greater-than or equalto” and “greater-than”, and “less-than or equal to” and “less-than” graphi
From playlist ALGEBRA CH 31 LINEAR INEQUALITIES IN 2 VARIABLES
Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties
Abstract: Liouville inequality is a lower bound of the norm of an integral section of a line bundle on an algebraic point of a variety. It is an important tool in may proofs in diophantine geometry and in transcendence. On transcendental points an inequality as good as Liouville inequality
From playlist Algebraic and Complex Geometry
Calculate The Height Of Any Tall Object!
Video will show you how to calculate the height of any tall object without having to climb it!
From playlist How to videos!
Filip Najman, Q-curves over odd degree fields and sporadic points
VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
"Represent solutions of an inequality on a number line."
From playlist Algebra: Inequalities
Ex: Solve a Linear Inequality with Decimals
The video explains how to solve a linear inequality containing decimals. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
Holly Krieger, Equidistribution and unlikely intersections in arithmetic dynamics
VaNTAGe seminar on May 26, 2020. License: CC-BY-NC-SA. Closed captions provided by Marley Young.
From playlist Arithmetic dynamics
This video states and investigates the triangle inequality theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Serre’s problem for diagonal conics - Sofos - Workshop 1 - CEB T2 2019
Efthymios Sofos (Max Planck Institute for Mathematics, Bonn) / 22.05.2019 Serre’s problem for diagonal conics Assume that B is a large real number and let c1, c2, c3 be three randomly chosen integers in the box [−B,B]3. Consider the probability that the “random” curve c1X2 +c2Y2 +c3Z2 =
From playlist 2019 - T2 - Reinventing rational points
Hanneke Wiersema, Minimal weights of mod-p Galois representations
VaNTAGe Seminar, April 12, 2022 License: CC-BY-NC-SA
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Fred Diamond, Geometric Serre weight conjectures and theta operators
VaNTAGe Seminar, April 26, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Ash-Sinott: https://arxiv.org/abs/math/9906216 Ash-Doud-Pollack: https://arxiv.org/abs/math/0102233 Buzzard-Diamond-Jarvis: https://www.ma.imperial.ac.uk/~buzzard/maths/research/paper
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program
VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244 Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf Delta's home page in the LMFDB: https://www.lmfdb.org/
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 2
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 4) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
#shorts This video reviews the divisibility rule for 3.
From playlist Math Shorts
David Lannes: Modelling shallow water waves - Lecture 3
A good understanding of waves in shallow water, typically in coastal regions, is important for several environmental and societal issues: submersion risks, protection of harbors, erosion, offshore structures, wave energies, etc. The goal of this serie of lectures is to show how efficient
From playlist Mathematical Physics