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
Alexander Goncharov - 1/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
Motivic correlators and locally symmetric spaces II - Alexander Goncharov
Locally Symmetric Spaces Seminar Topic: Motivic correlators and locally symmetric spaces II Speaker: Alexander Goncharov Affiliation: Yale University; Member, School of Mathematics and Natural Sciences Date: October 24, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Alexander Goncharov - 2/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
Alexander Goncharov - 3/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
Alexander Goncharov - 4/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
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
Mirror symmetry and cluster algebras – Paul Hacking & Sean Keel – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.15 Mirror symmetry and cluster algebras Paul Hacking & Sean Keel Abstract: We explain our proof, joint with Mark Gross and Maxim Kontsevich, of conjectures of Fomin–Zelevinsky and Fock–Goncharov on canonical bases of cluster algebras. We i
From playlist Algebraic & Complex Geometry
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
An unusual (not often seen) sufficient condition that guarantees a quadrilateral to be a parallelogram. How to prove? 🤔 Source: Antonio Gutierrez https://www.geogebra.org/m/mtyHcQM7 #GeoGebra #MTBoS #ITeachMath #geometry #proof #math #maths #MathEd #EdTech #MathEd #HSMath #CollegeMath
From playlist Geometry: Challenge Problems
Ishai Dan Cohen:The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory
Abstract: Polylogarithms are those multiple polylogarithms which factor through a certain quotient of the de Rham fundamental group of the thrice punctured line known as the polylogarithmic quotient. In joint work with David Corwin, building on work that was partially joint with Stefan We
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
Marc Levine - "The Motivic Fundamental Group"
Research lecture at the Worldwide Center of Mathematics.
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
[BOURBAKI 2019] Higher rank Teichmüller theories - Pozzetti - 30/03/19
Beatrice POZZETTI Higher rank Teichmüller theories Let Γ be the fundamental group of a compact surface S with negative Euler characteristic, and G denote PSL(2, R), the group of isometries of the hyperbolic plane. Goldman observed that the Teichmüller space, the parameter space of marked
From playlist BOURBAKI - 2019
Volker Genz - Maximal Green Sequences for Certain Triangle Products
Bernhard Keller introduced maximal green sequences as a combinatorial tool for computing refined Donaldson-Thomas invariants in the framework of cluster algebras. Maximal green sequences furthermore can be used to prove the existence of nice bases of cluster algebras and play a prominent r
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Richard Hain: Mixed motives associated to elliptic curves
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Glenn STEVENS - Modular Symbols, K-theory, and Eisenstein Cohomology
In this talk we will give an adelic construction of an object that we call the Kato-Beilinson modular symbol for GL(2), extending constructions of Goncharov and Brunault. We obtain a modular symbol Ψbelonging to the compactly supported cohomology of arithmetic subgroups of GL(2
From playlist Mathematics is a long conversation: a celebration of Barry Mazur
Modular symbols and arithmetic - Romyar Sharifi
Locally Symmetric Spaces Seminar Topic: Modular symbols and arithmetic Speaker: Romyar Sharifi Affiliation: University of California; Member, School of Mathematics Date: January 16, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics