contra corona / fall’20

OnlineResources_Term 1-2 / 5-6

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Research seminar “Modern Problems of Mathematical Physics” (Term 1-8) / MA06268 / 20-22

Instructor: Pavlo Gavrylenko

• Youtube Videos
  Sep 07 – Mikhail Vasilyev, Quantum-classical duality for integrable systems
  Sep 14 – Roman Gonin , Quantum difference equation
  Sep 21 – Mykola Semenyakin , Seiberg-Witten prepotential from thermodynamics of dimers 1
  Sep 28 – Mykola Semenyakin , Seiberg-Witten prepotential from thermodynamics of dimers 2
  Oct 05 – Anastasia Trofimova, The role of the Kardar-Parisi-Zhang equation in the study of the q-boson zero range process
  Oct 12 – Pavlo Gavrylenko, Quantum Painleve III₃ equation and conformal blocks at infinity, pt.1
  Oct 19 – Pavlo Gavrylenko, Quantum Painleve III₃ equation and conformal blocks at infinity, pt.2
  Oct 26 – Artem Stoyan, Painleve III equation and с = ∞ irregular conformal blocks
  Nov 02 – Ilya Kochergin, Nekrasov partition function formulas derived from gamma-functions
  Nov 02 – Aleksandr Artemev, Nakajima-Yoshioka formula for Nekrasov partition function
  Nov 09 – Denis Kuznedelev, Positive geometry and scattering amplitudes
  Nov 16 – Nikolai Kuchumov, Limits of random Domino tilling model
  Nov 23 – Vadim Prokofev, qq-characters: simple examples
  Nov 30 – Boris Eremin, On the equivalence of Batyrev and BHK Mirror symmetry constructions
  Dec 07 – Andrii Liashyk
  Dec 14 – Ilya Kochergin, matrix models and topological recursion

  branch “W-algebras and related topics” w
  Sep 25 – Roman Gonin, Introduction. Finite W-algebras
  Oct 02 – Alexei Piskunov, Jacobson–Morozov theorem, 1
  Oct 09 – Alexei Piskunov, Jacobson–Morozov theorem, 2
  Oct 16 – Ivan Motorin, Nilponent orbits
  Oct 23 – Nikita Safonkin, Slodowy slices, 1
  Oct 30 – Nikita Safonkin, Slodowy slices, 2
  Nov 06 – Alexander Trufanov, Lie algebra cohomology, 1
  Nov 13 – Alexander Trufanov, Lie algebra cohomology, 2
  Nov 20 – Vyacheslav Ivanov, Finite W-algebras
  Nov 27 – Mikhail Bershtein, Subregular Slodowy
  Dec 04 – Grigory Konovalov, Quantization of Slodowy slices and W-algebras, 1
  Dec 11 – Grigory Konovalov, Quantization of Slodowy slices and W-algebras, 2
  Dec 18 – Ilya Dumansky,

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Research seminar “Supersymmetric Gauge Theories and Integrable Systems” (Term 1-2) / DA060382 / 20-22

Instructors: Pavlo Gavrylenko, Andrei Marshakov

• Youtube Videos

Sep 24 – Alexander Trufanov,
Oct 01 – Abubakir Koshek,
Oct 08 – Abubakir Koshek, Alexander Trufanov,
Oct 15 – Abubakir Koshek
Oct 22 – Boris Eremin
Oct 29 – Ivan Sechin
Nov 05 – Nikita Nekrasov – instantons and qq-character, 1
Nov 12 – Nikita Nekrasov – instantons and qq-character, 2
Nov 19 – Roman Gonin – qq-character
Nov 26 – Nikita Nekrasov – virtual tangent space, 1
Dec 03 – Nikita Nekrasov – virtual tangent space, 2
Dec 10 – Nikita Nekrasov – localization formulas
Dec 17 – Nikita Nekrasov – geometric quantization, localization
Dec 24 – Nikita Nekrasov –

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Classical Integrable Systems (Term 5-6) / DA060179 / 19-21

Instructor: Igor Krichever

• Youtube Videos
  Lecture 1 / notepad_pdf (2.5 MB)
  Lecture 2 / notepad_pdf (1.5 MB),
  Lecture 3 / notepad_pdf (3.0 MB),
  Lecture 4 / notepad_pdf (2.3 MB)
  Lecture 5 / notepad_pdf (6.4 MB)
  Lecture 6 / notepad_pdf (7.7 MB)
  Lecture 7 / notepad_pdf (7.7 MB)
  Lecture 8 / notepad_pdf (7.6 MB)
  Lecture 9 / notepad_pdf (9.1 MB)
  Lecture 10 / notepad_pdf (7.1 MB)
  Lecture 11 / notepad_pdf (8.6 MB)
  Lecture 12 / notepad_pdf (7.6 MB)
  Lecture 13 / notepad_pdf (5.4 MB)
  Lecture 14 / notepad_pdf (6.9 MB)
  Lecture 15 / notepad_pdf (5.5 MB)

Introduction to Quantum Groups (Term 1-2) / MA060426 / 20-22

Instructor: Mikhail Bershtein

• Preliminary plan of the course ( _more )
  • Poisson algebras and quantization. Notes
  • Classical r-matrix and Poisson-Lie groups
  • Example of sl(2)
  • Tensor categories
  • Drinfeld-Jimbo quantum group
  • W algebras and quantum groups
  • RTT realization
  • Lusztig group
  • Universal R-matrix
• Youtube Videos
  Lecture 1 – Poisson algebras and quantization,
  Lecture 2 – Poisson-Lie groups, Lie bialgebras,
  Lecture 3 – Introduction to quantum groups ,
  Lecture 4 – Classical r-matrix ,
  Lecture 5 – Quantum groups and algebras. Example sl(2) ,
  Lecture 6 – Hopf algebras ,
  Lecture 7 – R matrices,
  Lecture 8 – Drinfeld-Jimbo quantum groups,
  Lecture 9 – RTT realization,
  Lecture 10 – Functions on quantum SL(2),
  Lecture 11 – Functions on quantum GL(n),
  Lecture 12 – Lusztig’s braid group,
  Lecture 13 – Factorization of the universal R matrix,
  Lecture 14 – Drinfeld Double,

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Representations of Classical Groups and Related Topics (Term 1-2) / MA030423 / 20-22

Instructor: Grigori Olshanski

• Youtube Videos
  Sep 15 Lecture 1,
  Sep 22 Lecture 2,
  Sep 29 Lecture 3,
  Oct 06 Lecture 4,
  Oct 13 Lecture 5,
  Oct 20 Lecture 6,
  Oct 27 Lecture 7,
  Nov 03 Lecture 8,
  Nov 10 Lecture 9,
  Nov 17 Lecture 10,
  Nov 24 Lecture 11,
  Dec 01 Lecture 12,

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Critical Points of Functions (Term 1-2) / MA060424 / 20-22

Instructor: Maxim Kazarian

• Youtube Videos
  Lecture 1
  Lecture 2
  Lecture 3
  Lecture 4
  Lecture 5
  Lecture 6
  Lecture 7
  Lecture 8
  Lecture 9
  Lecture 10
  Lecture 11

• Problem Set I

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Phase Transitions: Introduction to Statistical Physics and Percolation (Term 1-2) / MA060427 / 20-22

Instructor: Semen Shlosman

• Youtube Videos
  Lecture 1, Definitions. No percolation for small p. Onset of percolation for p close to 1
  Lecture 2, Coupling of probability distributions. Increasing events
  Lecture 3,
  Lecture 4,
  Lecture 5,
  Lecture 6,
  Lecture 7,
  Lecture 8,
  Lecture 9,
  Lecture 10,
  Lecture 11,
  Lecture 12,

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Mathematical Methods of Science (Term 1-2) / MA060317 / 20-22

Instructor: Sergei Khoroshkin

• Youtube Videos
  Sept 08, 2020,
  Sept 15, 2020,
  Sept 22, 2020,
  Sept 29, 2020, pt.1, pt.2,
  Oct 06, 2020, pt.1, pt.2,
  Oct 13, 2020,
  Oct 20, 2020, pt.1, pt.2,
  Oct 27, 2020,

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Quantum Mechanics (Term 1-2) / MA060428 / 20-22

Instructor: Vladimir Losyakov

• offline lectures and seminars

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Elliptic Operators in Topology of Manifolds (Term 1-2) / MA060258 / 20-22

Instructor: Alexander Gaifullin

• Zoom Meetings

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Geometric Representation Theory (Term 1-2) / MA060271 / 20-22

Instructor: Michael Finkelberg

• Youtube Videos

  Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13, Lecture 14

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