Alan Turing and Number Theory - Yuri Matiyasevich (St. Petersburg) [2012]
slides for this talk: http://videolectures.net/site/normal_dl/tag=694395/turing100_matiyasevich_number_theory_01.pdf Alan Turing Centenary Conference Manchester, 2012 Alan Turing and Number Theory Yuri Matiyasevich, St.Petersburg Department of Steklov Mathematical Institute, Russian Aca
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
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
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
Spectral summation formulae and their applications - Valentin Blomer
Valentin Blomer Georg-August-Universität Göttingen; von Neumann Fellow, School of Mathematics September 17, 2015 http://www.math.ias.edu/calendar/event/87305/1442521800/1442525400 Starting from the Poisson summation formula, I discuss spectral summation formulae on GL(2) and GL(3) and pr
From playlist Joint IAS/PU Number Theory Seminar
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
Geometric applications of derived categories - Alexander Perry
Short talks by postdoctoral members Topic: Geometric applications of derived categories Speaker: Alexander Perry Affiliation: Member, School of Mathematics Date: September 24 For more video please visit http://video.ias.edu
From playlist Mathematics
Towards a Geometric Analogue of Sarnak's Conjecture - Will Sawin
Workshop on Additive Combinatorics and Algebraic Connections Topic: Towards a Geometric Analogue of Sarnak's Conjecture Speaker: Will Sawin Affiliation: Columbia University Date: October 28, 2022 Work of Mark Shusterman and myself has proven an analogue of Chowla's conjecture for polynom
From playlist Mathematics
Yiannis Sakellaridis - 1/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Uncertainty Principle - Klim Efremenko
Klim Efremenko Tel-Aviv University; Member, School of Mathematics April 23, 2013 Informally, uncertainty principle says that function and its Fourier transform can not be both concentrated. Uncertainty principle has a lot of applications in areas like compressed sensing, error correcting c
From playlist Mathematics
Hodge theory and derived categories of cubic fourfolds - Richard Thomas
Richard Thomas Imperial College London September 16, 2014 Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has studied cubics with K3s associated to them at the le
From playlist Mathematics
[BOURBAKI 2019] Manolescu’s work on the triangulation conjecture - Stipsicz - 15/06/19
András STIPSICZ Manolescu’s work on the triangulation conjecture The triangulation conjecture (asking whether a manifold is necessarily a simplicial complex) has been recently resolved in the negative by Ciprian Manolescu. His proof is based on work of Galweski–Stern and Matumoto, reduci
From playlist BOURBAKI - 2019
William Stein - Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture [2008]
Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture CMI/MSRI Workshop: Modular Forms And Arithmetic June 28, 2008 - July 02, 2008 June 29, 2008 (02:00 PM PDT - 03:00 PM PDT) Speaker(s): William Stein (University of Washington) Location: MSRI: Simons Auditorium http://www.ms
From playlist Number Theory
Yiannis Sakellaridis - 2/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Intrinsic Diophantine approximation on S^3 - Raphael Steiner
Short talks by postdoctoral members Topic: Intrinsic Diophantine approximation on S^3 Speaker: Raphael Steiner Affiliation: University of Bristol; Member, School of Mathematics Date: Oct 3, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
More on cubic K3 categories - Daniel Huybrechts
Daniel Huybrechts March 10, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Automorphic Density Theorems - Valentin Blomer
Special Year Learning Seminar [REC DO NOT POST PUBLICLY] 10:30am|Simonyi 101 and Remote Access Topic: Automorphic Density Theorems Speaker: Valentin Blomer Affiliation: Universität Bonn Date: February 22, 2023 A density theorem for L-functions is quantitative measure of the possible fail
From playlist Mathematics
The Field With One Element and The Riemann Hypothesis (Full Video)
A crash course of Deninger's program to prove the Riemann Hypothesis using a cohomological interpretation of the Riemann Zeta Function. You can Deninger talk about this in more detail here: http://swc.math.arizona.edu/dls/ Leave some comments!
From playlist Riemann Hypothesis
Matthew Young: Large sieve inequalities for families of automorphic forms
The quality of a large sieve inequality for a family of automorphic forms (or L-functions) is a tangible way to measure how well the family is understood. For many GL_1 and GL_2 families, we have optimal large sieve inequalities; the GL_1 family is the classical large sieve, and many GL_2
From playlist Harmonic Analysis and Analytic Number Theory