The SL (2, R) action on spaces of differentials (Lecture 02) by Jayadev Athreya
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Quenched large deviations for random motions in degenerate random media by Chiranjib Mukherjeer
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)
In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex
From playlist École d’été 2013 - Théorie des nombres et dynamique
Maxim Kazarian - 2/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Cocycles, Lyapunov exponents, localization - Wilhelm Schlag
Members’ Seminar Topic: Cocycles, Lyapunov exponents, localization Speaker: Wilhelm Schlag Affiliation: University of Chicago; Visiting Professor, School of Mathematics Date: Febuary 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 1)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Bigeodesics in Random Media by Riddhipratim Basu
Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o
From playlist Probabilistic Methods in Negative Curvature - 2019
Introduction to FPP (Lecture 1) by Riddhipratim Basu
PROGRAM : FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS : Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE : 11 July 2022 to 29 July 2022 VENUE : Ramanujan Lecture Hall and online T
From playlist First-Passage Percolation and Related Models 2022 Edited
Lyapunov exponents, from the 1960's to the 2020's by Marcelo Viana
DISTINGUISHED LECTURES LYAPUNOV EXPONENTS, FROM THE 1960'S TO THE 2020'S SPEAKER: Marcelo Viana (IMPA, Brazil) DATE: 24 September 2019, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall The ergodic theory of Lyapunov exponents, initiated by the work of Furstenberg and Kesten at the dawn of
From playlist DISTINGUISHED LECTURES
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 4)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
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)
Ergodic optimization of Birkhoff averages and Lyapunov exponents – Jairo Bochi – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.9 Ergodic optimization of Birkhoff averages and Lyapunov exponents Jairo Bochi Abstract: We discuss optimization of Birkhoff averages of real or vectorial functions and of Lyapunov exponents of linear cocycles, empha
From playlist Dynamical Systems and ODE
Geometry of metrics and measure concentration in abstract ergodic theory - Tim Austin
Tim Austin New York University April 30, 2014 Many of the major results of modern ergodic theory can be understood in terms of a sequence of finite metric measure spaces constructed from the marginal distributions of a shift-invariant process. Most simply, the growth rate of their covering
From playlist Mathematics
Quantum Ergodicity for the Uninitiated - Zeev Rudnick
Zeev Rudnick Tel Aviv University; Member, School of Mathematics October 26, 2015 https://www.math.ias.edu/seminars/abstract?event=47561 A key result in spectral theory linking classical and quantum mechanics is the Quantum Ergodicity theorem, which states that in a system in which the cl
From playlist Members Seminar
Maxim Kazarian - 3/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Tim Scrimshaw - Canonical Grothendieck polynomials with free fermions
A now classical method to construct the Schur functions is constructing matrix el- ements using half vertex operators associated to the classical boson-fermion cor- respondence. This construction is known as using free fermions. Schur functions are also known to be polynomial representativ
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
The Green - Tao Theorem (Lecture 2) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Entropy bounds for reduced density matrices of fermionic states - Elliott Lieb
Elliott Lieb Princeton Univ April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1)
In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex
From playlist École d’été 2013 - Théorie des nombres et dynamique