Unsolved problems in number theory | Algebraic number theory
Hilbert's ninth problem, from the list of 23 Hilbert's problems (1900), asked to find the most general reciprocity law for the norm residues of k-th order in a general algebraic number field, where k is a power of a prime. (Wikipedia).
Hilbert's 10th Problem: Decision Problem on Solvability of Diophantine Equations
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From playlist Elementary Number Theory
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
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
Yuri Matiyasevich - On Hilbert's 10th Problem [2000]
On Hilbert's 10th Problem - Part 1 of 4 Speaker: Yuri Matiyasevich Date: Wed, Mar 1, 2000 Location: PIMS, University of Calgary Abstract: A Diophantine equation is an equation of the form $ D(x_1,...,x_m) $ = 0, where D is a polynomial with integer coefficients. These equations were n
From playlist Number Theory
A Maths Puzzle: Find the nine digit number solution
Solution to the nine digit number puzzle. Sorry for the bad audio. Thanks to Mismag822 or the problem, which kept me awake when I had a presentation in the morning. Swine.
From playlist My Maths Videos
Galois theory: Hilbert's theorem 90
This lecture is part of an online graduate course on Galois theory. We discuss two forms of Hilbert's theorem 90: the original version for cyclic extensions, and Noether's more general version for arbitrary finite Galois extensions. The proofs use a lemma of Artin about the linear indepen
From playlist Galois theory
Panorama of Mathematics: Andrei Okounkov
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Andrei Okounkov: "Enumerati
From playlist Panorama of Mathematics
Why was Connes' embedding conjecture refuted and there are still no known... -Michael Chapman
Stability and Testability Topic: Why was Connes' embedding conjecture refuted and there are still no known non-hyperlinear groups? Speaker: Michael Chapman Affiliation: Hebrew University Date: March 24, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
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
Matrix Entanglement by Vaibhav Gautam
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Line operators and geometry in 3d N=4 gauge theory by Tudor Dimofte
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Fractal Snowflakes, Symmetries, and Beautiful Math Decorations
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. Today is MATH CRAFTS day! We're going to make some holiday decorations and then also chat about the cool math behind them. We'll learn a
From playlist Cool Math Series
Quadratisch Praktisch Gut - Zur Quadratischen Gleichung | Bernd Sturmfels
Mathematische Weihnachtsvorlesung 2020 gehalten von Prof. Dr. Bernd Sturmfels Direktor am Max-Planck-Institut für Mathematik in den Naturwissenschaften und Leiter der Nonlinear Algebra Arbeitsgruppe. Für Schüler:innen ab Klassenstufe 10
From playlist Schulvorträge
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
Joshua Ciappara: Hilbert Schemes Lecture 10
SMRI Seminar Series: 'Hilbert Schemes' Lecture 10 Representations of Heisenberg algebras on homology of Hilbert schemes Joshua Ciappara (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way tha
From playlist SMRI Course: Hilbert Schemes
Rodrigo Bañuelos: "Events of Small Probabilities Do Happen"
Latinx in the Mathematical Sciences Conference 2018 "Events of Small Probabilities Do Happen" Rodrigo Bañuelos, Purdue University Institute for Pure and Applied Mathematics, UCLA March 9, 2018 For more information: http://www.ipam.ucla.edu/programs/special-events-and-conferences/latinx-
From playlist Latinx in the Mathematical Sciences 2018
From currents to oriented varifolds for data fidelity (...) - Kaltenmark - Workshop 2 - CEB T1 2019
Irène Kaltenmark (Univ. Bordeaux) / 14.03.2019 From currents to oriented varifolds for data fidelity metrics; growth models for computational anatomy. In this talk, I present a general setting that extends the previous frameworks of currents and varifolds for the construction of data fi
From playlist 2019 - T1 - The Mathematics of Imaging
Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization
Turing, Church, Gödel, Computability, Complexity and Randomization Presented by Prof. Michael Rabin, Turing Award laureate, Hebrew University & Harvard University Alan M. Turing Centennial Conference - Israel April 4, 2012 The Wohl Centre Bar-Ilan University Ramat-Gan, Israel For more in
From playlist Alan M. Turing Centennial Conference - Israel
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Anthony Licata: Hilbert Schemes Lecture 7
SMRI Seminar Series: 'Hilbert Schemes' Lecture 7 Kleinian singularities 2 Anthony Licata (Australian National University) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students inter
From playlist SMRI Course: Hilbert Schemes