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
Maxim Kontsevich - An Update on Algebraic Hypergeometric Series
Algebraic hypergeometric series in one variable were classified in 1989 by F. Beukers and G. Heckman, in terms of finite complex reflection groups. Recently, K. Penson observed that one of such series is a generating series of a probability density with compact support, given again by an a
From playlist Combinatorics and Arithmetic for Physics: special days
Dimitri Zvonkine - Hurwitz numbers, the ELSV formula, and the topological recursion
We will use the example of Hurwitz numbers to make an introduction into the intersection theory of moduli spaces of curves and into the subject of topological recursion.
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Unpredictability - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Bourbaki - 16/01/2016 - 1/4 - Damien GABORIAU
Damien GABORIAU — Entropie sofique [d'après L. Bowen, D. Kerr et H. Li] L’entropie fut introduite en systèmes dynamiques par A. Kolmogorov. Initialement focalisée sur les itérations d’une transformation préservant une mesure finie, la notion fut peu à peu généralisée, jusqu’à embrasser l
From playlist Bourbaki - 16 janvier 2016
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Evaluating the partial sum of a arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Alexander Bufetov: Determinantal point processes - Lecture 2
Abstract: Determinantal point processes arise in a wide range of problems in asymptotic combinatorics, representation theory and mathematical physics, especially the theory of random matrices. While our understanding of determinantal point processes has greatly advanced in the last 20 year
From playlist Probability and Statistics
Maxim Konsevitch - 3/4 Exponential Integral
Summary : https://indico.math.cnrs.fr/getFile.py/access?resId=0&materialId=3&confId=694 The goal of the first part of the course is to describe and compare various cohomology theories for algebraic varieties endowed with global function. In the second part infinite-dimensional application
From playlist Maxim Konsevitch - Exponential Integral
Andreï Kolmogorov: un grand mathématicien au coeur d'un siècle tourmenté
Conférence grand public au CIRM Luminy Andreï Kolmogorov est un mathématicien russe (1903-1987) qui a apporté des contributions frappantes en théorie des probabilités, théorie ergodique, turbulence, mécanique classique, logique mathématique, topologie, théorie algorithmique de l'informati
From playlist OUTREACH - GRAND PUBLIC
Kolmogorov Complexity - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Yakov Sinai - The Abel Prize interview 2014
00:15 beginnings, family influences 00:55 no Olympiad success 02:00 mathematical talent 02:30 schooling (WWII, USSR) 04:20 teachers 05:35 Moscow State University (Mekh mat) 07:40 mathematics vs. mechanics 08:52 Dynkin 10:13 Kolmogorov 10:35 Gel'fand 12:31 Rokhlin, Abramov 17:25 Dynamical s
From playlist The Abel Prize Interviews
Alexander BUFETOV : interview at CIRM
Alexander Bufetov CIRM 2014 Alexander Bufetov a obtenu son diplôme de Mathématiques à l'Université Indépendante de Moscou en 1999 et son doctorat à l'Université de Princeton en 2005. Après un an de post-doctorat à l'Université de Chicago, il est embauché comme Professeur Assistant par l
From playlist Jean-Morlet Chair's guests - Interviews
How Karatsuba's algorithm gave us new ways to multiply
To advance the field of computer science, mathematician Kolmogorov tried to optimise the multiplication algorithm we learn in elementary school. After failing to do so, he conjectured that no faster algorithms exist. This gave rise to Karatsuba's fast multiplication algorithm, an algorithm
From playlist Summer of Math Exposition Youtube Videos
Nexus Trimester - Andrei Romashchenko (LIRMM)
On Parallels Between Shannon’s and Kolmogorov’s Information Theories (where the parallelism fails and why) Andrei Romashchenko (LIRMM) February 02, 2016 Abstract: Two versions of information theory - the theory of Shannon's entropy and the theory of Kolmgorov complexity - have manifest
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Stochastic Model Reduction in Climate Science by Georg Gottwald (Part 5)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Introduction to Turbulence by Jayanta K. Bhattacharjee (Part 2)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Maxim Konsevitch - 1/4 Exponential Integral
Summary : https://indico.math.cnrs.fr/getFile.py/access?resId=0&materialId=3&confId=694 The goal of the first part of the course is to describe and compare various cohomology theories for algebraic varieties endowed with global function. In the second part infinite-dimensional application
From playlist Maxim Konsevitch - Exponential Integral
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces
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