online resources / fall2021

Research seminar “Modern Problems of Mathematical Physics” (Term 1-8) / MA06268 / 21-22

Instructor: Pavlo Gavrylenko

  • Youtube Videos

    Sep 27 – Vasily Yugov – Moduli spaces of Flat Connections (1/4)
    Oct 04 – Vasily Yugov – Moduli spaces of Flat Connections (2/4)
    Oct 11 – Roman Gonin – Двойная аффинная алгебра Гекке. Квантовая тороидальная gl_1 и её фоковский модуль
    Oct 18 – Svetlana Gavrilova – Schur processes
    Oct 25 – Nikita Nekrasov – Статсумма калибровочной теории и qq-характеры как эквивариантные интегралы
    Nov 08 – Svetlana Gavrilova – Модель last passage percolation и мера Планшереля
    Nov 15 – Svetlana Gavrilova – Полиномы Шура и меры Шура как статсуммы
    Nov 22 – Nikita Ignatyuk – Многообразия Калаби-Яу. Определения, деформации комплексной структуры (1/3)
    Nov 29 – Nikita Ignatyuk – Многообразия Калаби-Яу. Определения, деформации комплексной структуры (2/3)
    Dec 06 – Ivan Sechin – Toda chain, Hamiltonian reduction and Whittaker functions
    Dec 13 – Nikita Ignatyuk – Многообразия Калаби-Яу. Определения, деформации комплексной структуры (3/3)
    Dec 20 – Nikita Nekrasov – Five dimensional supersymmetric gauge theories, M theory on toric Calabi-Yau’s, and regularised volumes (2/2)

Research seminar “Cluster integrable systems and supersymmetric gauge theories” (Term 1-2) / MA060461 / 21-22

Instructors: Pavlo Gavrylenko, Andrei Marshakov

  • Youtube Videos

    Sep 30 – Nikita Grygoryev – Fock-Goncharov coordinates (1/6)
    Oct 07 – Nikita Grygoryev – Fock-Goncharov coordinates (2/6)
    Oct 14 – Nikita Grygoryev – Fock-Goncharov coordinates (3/6)
    Oct 21 – Nikita Nekrasov – Вычисление статсуммы калибровочной теории
    Oct 28 – Nikita Nekrasov – Две реализации поверхностных дефектов и статсуммы с ними
    Nov 04 – Vasily Yugov – Moduli spaces of Flat Connections (3/4)
    Nov 11 – Vasily Yugov – Moduli spaces of Flat Connections (4/4)
    Dec 02 – Nikita Grygoryev – Fock-Goncharov coordinates (4/6)
    Dec 09 – Nikita Grygoryev – Fock-Goncharov coordinates (5/6)
    Dec 16 – Nikita Nekrasov – Five dimensional supersymmetric gauge theories, M theory on toric Calabi-Yau’s, and regularised volumes (1/2)

Classical Integrable Systems (Term 5-6) / DA060179 / 21-22

Instructor: Igor Krichever

Affine Quantum Groups (Term 1-2) / MA046062 / 21-22

Instructor: Mikhail Bershtein ( _more )

  • Youtube Videos / Zoom meeting 85311469119, password: “Dimension of G2″ — number, 2 digits

Lecture 1 – Quantum groups (quick review),
Lecture 2 – Affine Lie algebras, affine Weyl groups,
Lecture 3 – Affine Lie algebras, representations ,
Lecture 4 – Affine quantum sl(2), PBW generators ,
Lecture 5 – Affine quantum sl(2), new Drinfeld realization ,
Lecture 6 – Factorization of R matrix ,
Lecture 7 – RTT realization for affine sl(2) ,
Lecture 8 – Finite dimensional representations of affine sl(2) ,
Lecture 9 – q-characters for affine sl(2) ,
Lecture 10 – q-characters ,
Lecture 11 – Schur-Weyl duality. Hecke algebras ,
Lecture 12 – Semi-infinite construction ,
Lecture 13 – Bosonization, vertex operators ,
Lecture 14 – Baxter subalgebras, XXZ model. Q characters revisited ,
Lecture 14 – q-characters from Baxter subalgebras. TQ relations ,

Symmetric functions (Term 1-2) / MA060458 / 21-22

Instructor: Grigori Olshanski

  • Youtube Videos

Sep 16 Lecture 1,
Sep 23 Lecture 2,
Sep 30 Lecture 3,
Oct 07 Lecture 4,
Oct 14 Lecture 5,
Oct 21 Lecture 6,
Oct 28 Lecture 7,
Nov 11 Lecture 8,
Nov 18 Lecture 9,
Nov 25 Lecture 10,
Dec 02 Lecture 11,
Dec 09 Lecture 12,
Dec 16 Lecture 13,

Differential Geometry of Connections (Term 1-2) / MA060460 / 21-22

Instructor: Maxim Kazarian

  • Lectures is moved to zoom 6630817885
  • Midterm test problems
  • Final examination problems

    • Statistical mechanics, percolation theory and conformal invariance (Term 1-2) / MA060465 / 21-22

    Instructor: Semen Shlosman
    is inviting you to a scheduled Zoom meeting

    Topic: Конформная инвариантность
    Time: Sep 24, 2021 02:00 PM Moscow
    Every week on Fri, until Dec 10, 2021, 12 occurrence(s)

    Lecture 1 / Sep 24
    Lecture 2 / Oct 1
    Lecture 3 / Oct 8
    Lecture 4 / Oct 15
    Lecture 5 / Oct 22
    Lecture 6 / Oct 29
    Lecture 7 / Nov 12
    Lecture 8 / Nov 19
    Lecture 9 / Nov 26
    Lecture 10 / Dec 3
    Lecture 11 / Dec 10

    Research seminar “Quantum Mechanics” (Term 1-2) / MA060464 / 21-22

    Instructor: Vladimir Losyakov

    • offline lectures and seminars

    Mapping class groups (Term 1-2) / MA060459 / 21-22

    Instructor: Alexander Gaifullin

    Geometric Representation Theory (Term 1-2) / MA060271 / 21-22

    Instructor: Michael Finkelberg

    • Youtube Videos

    Lecture 1,
    Lecture 2,
    Lecture 3, Representations of affine Hecke algebras
    Lecture 4, Representations of affine Hecke algebras
    Lecture 5, Representations of affine Hecke algebras
    Lecture 6, Representations of affine Hecke algebras
    Lecture 7, Representations of affine Hecke algebras
    Lecture 8, Representations of affine Hecke algebras
    Lecture 9, Representations of affine Hecke algebras
    Lecture 10, Representations of affine Hecke algebras
    Lecture 11, Representations of affine Hecke algebras
    Lecture 12, Representations of affine Hecke algebras

    Introduction to Schramm-Loewner Evolution (Term 1B-2) / MA060494 / 21-22

    Instructor: Dmitry Belyaev