In mathematics, Hilbert's fourteenth problem, that is, number 14 of Hilbert's problems proposed in 1900, asks whether certain algebras are finitely generated. The setting is as follows: Assume that k is a field and let K be a subfield of the field of rational functions in n variables, k(x1, ..., xn ) over k. Consider now the k-algebra R defined as the intersection Hilbert conjectured that all such algebras are finitely generated over k. Some results were obtained confirming Hilbert's conjecture in special cases and for certain classes of rings (in particular the conjecture was proved unconditionally for n = 1 and n = 2 by Zariski in 1954). Then in 1959 Masayoshi Nagata found a counterexample to Hilbert's conjecture. The counterexample of Nagata is a suitably constructed ring of invariants for the action of a linear algebraic group. (Wikipedia).
M. Kisin - Hilbert's thirteenth problem and the moduli space of abelian varieties
The (multi-valued) solution of a general polynomial of degree n is a priori a function of n-1 variables. Hilbert's thirteenth problem and its variants ask when such functions can be written as a composite of functions in a smaller number of variables. I will explain some progress on this q
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
The Geometry of Hilbert's 13th problem - Jesse Wolfson
Special Seminar on Hilbert's 13th Problem I Topic: The Geometry of Hilbert's 13th problem Speaker: Jesse Wolfson Affiliation: University of California, Irvine Date: December 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Turing Machines & The Halting Problem (Part 1)
In the year 1900, David Hilbert gave a list of 23 mathematics problems for the mathematicians of the new generation. His tenth problem proved to be an enigma for many years until Alan Turing solved it while simultaneously creating the modern computer. Watch the video to see how Alan Turi
From playlist Math
Space-Filling Curves (2 of 4: Hilbert Curve)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
Hilbert's 10th Problem: Decision Problem on Solvability of Diophantine Equations
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From playlist Elementary Number Theory
C56 Continuation of previous problem
Adding a bit more depth to the previous problem.
From playlist Differential Equations
Algebraic geometry 49: Hilbert polynomials
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives a review of the Hilbert polynomial of a graded module over a graded ring, and classifies integer-valued polynomials.
From playlist Algebraic geometry I: Varieties
The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture
The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians
From playlist Math
Fourteenth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Date: Wednesday, February 17, 2021, 10:00am EDT Speaker: Anders Hansen, University of Cambridge Title: On the foundations of computational mathematics, Smale’s 18th problem and the potential limits of AI Abstract: There is a profound optimism on the impact of deep learning (DL) and AI w
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
EngageNY Grade 5 Module 3 Lesson 11
EngageNY/Eureka Math Grade 5 Module 3 Lesson 11 For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.online PLEASE leave a message if a video has a technical difficulty (audio separating from the video, writing not showing up, etc). Occasionally, Explain
From playlist Eureka Math Grade 5 Module 3
22. Constitutional Crisis and Impeachment of a President
The Civil War and Reconstruction (HIST 119) Professor Blight continues his discussion of the political history of Reconstruction. The central figure in the early phase of Reconstruction was President Andrew Johnson. Under Johnson's stewardship, southern whites held constitutional conven
From playlist The Civil War and Reconstruction with David Blight
McDonald v. Chicago | Civil liberties and civil rights | US government and civics | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-landmark-supreme-court-cases/v/mcdonald-v-chicago A deep dive into McDonald v. Chicag
From playlist The National Constitution Center | US government and civics | Khan Academy
McDonald v. Chicago | National Constitution Center | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-landmark-supreme-court-cases/v/citizens-united-v-federal-election-commission A deep dive into McDonald v.
From playlist The Constitution, Bill of Rights, and Landmark Supreme Court Cases
Jack Rakove: “The Fourteenth Amendment: Everyman’s Constitution”
History professor Jack Rakove talks about the role of the Fourteenth Amendment in the Reconstruction of the American South after the Civil War in his Stanford course, "The Constitution: A Brief History."
From playlist Stanford Historian Jack Rakove: "The Constitution: A Brief History"
25. The "End" of Reconstruction: Disputed Election of 1876, and the "Compromise of 1877"
The Civil War and Reconstruction Era, 1845-1877 (HIST 119) This lecture focuses on the role of white southern terrorist violence in brining about the end of Reconstruction. Professor Blight begins with an account the Colfax Massacre. Colfax, Louisiana was the sight of the largest mass m
From playlist The Civil War and Reconstruction with David Blight
Disease! Crash Course World History 203
In which John Green teaches you about disease and the effects that disease has had in human history. Disease has been with man since the beginning, and it has shaped the way humans operate in a lot of ways. John will teach you about the Black Death, the Great Dying, and the modern medical
From playlist World History 2
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
Exceptional splitting of reductions of abelian surfaces with real multiplication - Yunqing Tang
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Exceptional splitting of reductions of abelian surfaces with real multiplication Speaker: Yunqing Tang Affiliation: Princeton University Date: November 9, 2017 For more videos, please visit htt
From playlist Mathematics
A first example problem solving a linear, second-order, homogeneous, ODE with variable coefficients around a regular singular point.
From playlist Differential Equations
Fourteenth SIAM Activity Group on FME Virtual Talk
Speakers: Damir Filipovic, EPFL and Swiss Finance Institute Title: A Machine Learning Approach to Portfolio Pricing and Risk Management for High-Dimensional Problems Moderator: Rene Carmona, Princeton University
From playlist SIAM Activity Group on FME Virtual Talk Series