Conjectures that have been proved | Symmetry
Zimmer's conjecture is a statement in mathematics "which has to do with the circumstances under which geometric spaces exhibit certain kinds of symmetries." It was named after the mathematician Robert Zimmer. The conjecture states that there can exist symmetries (specifically ) in a higher dimension that cannot exist in lower dimensions. In 2017, the conjecture was proven by Aaron Brown and Sebastián Hurtado-Salazar of the University of Chicago and David Fisher of Indiana University. (Wikipedia).
Recent Progress on Zimmer's Conjecture - David Fisher
Members' Seminar Topic: Recent Progress on Zimmer's Conjecture Speaker: David Fisher Affiliation: Indiana University, Bloomington; Member, School of Mathematics Date: December 3, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Zimmer's conjecture for co-compact lattices in simple complex Lie groups - Zhiyuan Zhang
Short talks by postdoctoral members Topic: Zimmer's conjecture for co-compact lattices in simple complex Lie groups Speaker: Zhiyuan Zhang Affiliation: KTH Royal Institute of Technology, Stockholm; Member, School of Mathematics Date: Oct 3, 2018 For more video please visit http://video.i
From playlist Mathematics
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
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
On Zimmer's conjecture - Sebastian Hurtado-Salazar
Princeton/IAS Symplectic Geometry Seminar Topic: On Zimmer's conjecture Speaker: Sebastian Hurtado-Salazar Affiliation: University of Chicago Date: April 6, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Weil conjectures 4 Fermat hypersurfaces
This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T
From playlist Algebraic geometry: extra topics
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
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
Cyril Houdayer: Noncommutative ergodic theory of lattices in higher rank simple algebraic groups
Talk by Cyril Houdayer in the Global Noncommutative Geometry Seminar (Americas) on March 18, 2022. https://globalncgseminar.org/talks/tba-28/
From playlist Global Noncommutative Geometry Seminar (Americas)
EVOLUTION PLAYLIST: https://www.youtube.com/playlist?list=PL0dgAlATobqgBoCL9yhqSkAoyQPsvCaZg SUBSCRIBE: http://bit.ly/Subscribe2Technicality PREVIOUS EPISODE: https://www.youtube.com/watch?v=8vuWPj0iE48 TWEET THIS EPISODE: http://ctt.ec/BQEo0 But first, let me take a selfie :p TWEET ME
From playlist Evolution Collaboration
(Optional lecture) - Towards a classification of adelic Galois representations of elliptic curves
This is a lecture I gave at Zagreb's Number Theory Seminar, on Feb 25, 2021, on adelic Galois representations. While not a part of the graduate course on elliptic curves, it is a nice complement to some of the material we have seen on the Tate module.
From playlist Math Talks
Rigidity for Anosov higher rank lattice actions by Federico Rodriguez-Hertz
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Elliptic Curves - Lecture 24a - Torsion points (Nagell-Lutz theorem)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Lewis Bowen - When does injectivity imply surjectivity
November 23, 2015 - Princeton University Any injective map from a finite set to itself is surjective. Ax's Theorem extends this to algebraic varieties and regular maps. Gromov invented sofic groups as a way to extend to this result to cellular automata and other settings. We'll re-prove hi
From playlist Minerva Mini Course - Lewis Bowen
Zagier's conjecture on zeta(F,4) - Alexander Goncharov
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Zagier's conjecture on zeta(F,4) Speaker: Alexander Goncharov Affiliation: Yale University; Member, School of Mathematics Date: November 10, 2017 For more videos, please visit http://video.ias.
From playlist Mathematics
On the BSD conjecture for certain families of abelian varieties with ration...- Emmanuel Lecouturier
Joint IAS/Princeton University Number Theory Seminar Topic: On the BSD conjecture for certain families of abelian varieties with rational torsion. Speaker: Emmanuel Lecouturier Affiliation: Member, School of Mathematics Date: March 24, 2022 Let N and p greater than or equal to 5 be prime
From playlist Mathematics
[BOURBAKI 2017] 21/10/2017 - 4/4 - Serge CANTAT
Progrès récents concernant le programme de Zimmer [d'après A. Brown, D. Fisher, et S. Hurtado] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://tw
From playlist BOURBAKI - 2017