Milnor Conjecture Learning Seminar - 2023-03-17
From playlist Mathematics
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
Robbins' formulas, the Bellows conjecture + polyhedra volumes|Rational Geometry Math Foundations 128
We discuss modern developments in the direction of our latest videos, namely formulas for areas of polygons in terms of the quadrances of the sides. We discuss work of Moebius, Bowman and Robbins on the areas of cyclic pentagons. There is also a rich story about 3 dimensional generalizati
From playlist Math Foundations
Mertens Conjecture Disproof and the Riemann Hypothesis | MegaFavNumbers
#MegaFavNumbers The Mertens conjecture is a conjecture is a conjecture about the distribution of the prime numbers. It can be seen as a stronger version of the Riemann hypothesis. It says that the Mertens function is bounded by sqrt(n). The Riemann hypothesis on the other hand only require
From playlist MegaFavNumbers
Milnor Conjecture Learning Seminar - Akshay Venkatesh
February 24, 2023 1:00pm – 3:30pm Rubenstein Commons Meeting Room 5 Speaker: Akshay Venkatesh
From playlist Milnor Conjecture Learning Seminar
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
The hyperbolic Ax-Lindemann conjecture - Emmanuel Ullmo
Emmanuel Ullmo Université Paris-Sud February 7, 2014 The hyperbolic Ax Lindemann conjecture is a functional transcendental statement which describes the closure of "algebraic flows" on Shimura varieties. We will describe the proof of this conjecture and its consequences for the André-Oort
From playlist Mathematics
Nikos Frantzikinakis: Ergodicity of the Liouville system implies the Chowla conjecture
Abstract: The Chowla conjecture asserts that the signs of the Liouville function are distributed randomly on the integers. Reinterpreted in the language of ergodic theory this conjecture asserts that the Liouville dynamical system is a Bernoulli system. We prove that ergodicity of the Liou
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor
Abstract: In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating f
From playlist Abel Lectures
Homogeneous spaces, algebraic K-theory and cohomological(...) - Izquierdo - Workshop 2 - CEB T2 2019
Diego Izquierdo (MPIM Bonn) / 24.06.2019 Homogeneous spaces, algebraic K-theory and cohomological dimension of fields. In 1986, Kato and Kuzumaki stated a set of conjectures which aimed at giving a Diophantine characterization of the cohomological dimension of fields in terms of Milnor
From playlist 2019 - T2 - Reinventing rational points
Étienne Ghys: A guided tour of the seventh dimension
Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher
From playlist Abel Lectures
Patrick Ingram, The critical height of an endomorphism of projective space
VaNTAGe seminar on June 9, 2020. License: CC-BY-NC-SA. Closed captions provided by Matt Olechnowicz
From playlist Arithmetic dynamics
This lecture was held by Abel Laureate John Milnor at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2011 1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical
From playlist Abel Lectures
Voevodsky proof of Milnor and Bloch-Kato conjectures - Alexander Merkurjev
Vladimir Voevodsky Memorial Conference Topic: Voevodsky proof of Milnor and Bloch-Kato conjectures Speaker: Alexander Merkurjev Affiliation: University of California, Los Angeles Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Curtis McMullen: Manifolds, topology and dynamics
Abstract: This talk will focus on two fields where Milnor's work has been especially influential: the classification of manifolds, and the theory of dynamical systems. To illustrate developments in these areas, we will describe how topological objects such as exotic spheres and strange at
From playlist Abel Lectures
[BOURBAKI 2019] HOMFLY polynomials from the Hilbert schemes of a planar curve - Migliorini -30/03/19
Luca MIGLIORINI HOMFLY polynomials from the Hilbert schemes of a planar curve, after D. Maulik, A. Oblomkov, V. Shende... Among the most interesting invariants one can associate with a link L ⊂ S3 is its HOMFLY polynomial P(L, v, s) ∈ Z[v±1, (s – s–1)±1]. A. Oblomkov and V. Shende conjec
From playlist BOURBAKI - 2019
Patrick Popescu Pampu: A proof of Neumann-Wahl Milnor fibre Conjecture via logarithmic...- Lecture 3
HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given
From playlist Algebraic and Complex Geometry
John Milnor - The Abel Prize interview 2011
02:33 Beginnings, Aptitude, "socially maladjusted" 03:40 Putnam, Math. as problem-solving 04:10 First paper (at 18 yo) 06:10 John Nash, Princeton 07:45 games: Kriegspiel, Go, Nash 09:25 game theory 10:35 knot theory, Papakyriakopoulos 15:45 manifolds 17:55 dim. 7 manifolds 20:35 collaborat
From playlist The Abel Prize Interviews
Why science is NOT 'Just a Theory'
Have you ever heard ‘evolution’ dismissed as ‘just a theory’? Is a scientific theory no different to the theory that Elvis is still alive? Jim Al-Khalili puts the record straight. Subscribe for regular science videos: http://bit.ly/RiSubscRibe There’s an important difference between a sci
From playlist Ri Animations