online resources / fall’22

Research seminar “Modern Problems of Mathematical Physics” (Term 1-8) / G120268 / 22-23

Instructor: Andrei Marshakov

  • Youtube Videos

Introduction to cluster algebras and varieties (Term 1-2) / MA060509 / 22-23

Instructor: Mikhail Bershtein( _more )

  • Youtube Videos

Lecture 1,
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,

  • СourseNotes.pdf
  1. Prelimiary examples Notes (updated 04.12.2022).
  2. Seeds. Mutations. Laurent phenomenon Notes (updated 04.12.2022).
  3. Total positivity Notes (updated 13.12.2022).
  4. Double Bruhat cells. X coordinates Notes (updated 26.12.2022).
  5. Cluster Poisson structure. Poisson Lie groups Notes (updated 26.12.2022).
  6. Cluster Poisson structure. Integrable systems Notes (updated 26.12.2022).
  7. Upper cluster algebra. Coordinate rings on double Bruhat cells Notes (updated 04.12.2022).
  8. Starfish Lemma. Grassmanians Notes (updated 13.12.2022).
  9. Plabic graphs. Grassmanians Notes (updated 22.12.2022).
  10. Poisson structures on Grassmanians Notes (updated 22.12.2022).
  11. Geometric approach to cluster varieties Notes (updated 26.12.2022).
  12. Cluster structure on the space of framed local systems. PGL_2 case Notes (updated 28.12.2022).
  13. Pinnings Notes (updated 28.12.2022).
  14. Cluster structure on the space of framed local systems. PGL_m case
    Notes (updated 28.12.2022).

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

    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