Moscow, July 18–23, 2022


Satellite conference of

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The concept of transformation group is a mathematical formalization of the general philosophical idea of symmetry of the world. One may say that the world is cognizable inasmuch as it is symmetric. This principle is vividly reflected in the famous theorem of Emmy Noether establishing connection between symmetries of a physical system and conservation laws for physical quantities.

In mathematics, the theory of transformation groups is a broad area covering different branches of algebra, geometry and topology, dynamical systems, and mathematical physics. Essentially it gives rise to the origins of group theory and to the Erlangen program of Felix Klein, who proposed to consider various geometries from the viewpoint of their symmetry groups. Although transformation groups do not fit in a unified mathematical theory in a strict sense and different fields in this area may be rather far from each other, there are general consolidating principles and concepts, which make interosculation and mutual enrichment with ideas possible. This makes interaction and collaboration of researches in various fields related to transformation groups relevant and fruitful.

The Moscow school of transformation groups was established at Moscow State University by Ernest Vinberg (1937-2020) and Arkadiy Onishchik (1933-2019).

The conference will focus on

Lie groups and Lie algebras
Lie, holomorphic, and algebraic transformation groups
Algebraic groups and invariant theory
Geometry and topology of homogeneous spaces
Discrete subgroups of Lie groups and discrete transformation groups
Quantum groups and universal enveloping algebras
Kac-Moody groups and algebras, conformal and vertex algebras
Lie supergroups and superalgebras
Representation theory
Integrable Hamiltonian systems

Organizing Committee

Ernest Vinberg, Ivan Arzhantsev, Vladimir Podolskii, Andrei Shafarevich, Dmitry Timashev

You can download the conference poster (3508x4961 px, 300 dpi) here.


Tentative list of keynote speakers includes:

  • France  Michel Brion, Université Grenoble Alpes, Institut Fourier
  • Germany  Stéphanie Cupit-Foutou, Ruhr-Universität Bochum
  • Italy  Corrado de Concini, Università di Roma ″La Sapienza″
  • United Kingdom  Anna Feliskon, Durham University
  • Russia  Anatoly Fomenko, Lomonosov Moscow State University
  • USA  Victor Ginzburg, University of Chicago
  • Russia  Valery Gritsenko, HSE University
  • Canada  Megumi Harada, McMaster University
  • Germany  Jürgen Hausen, Universität Tübingen
  • Canada  Joel Kamnitzer, University of Toronto
  • Canada  Yael Karshon, University of Toronto, Tel-Aviv University
  • Japan  Toshiyuki Kobayashi, University of Tokyo
  • Switzerland  Hanspeter Kraft, Universität Basel
  • Germany  Bernhard Krötz, Universität Paderborn
  • USA  Shrawan Kumar, University of North Carolina
  • Switzerland  Frank Kutzschebauch, Universität Bern
  • USA  Ivan Losev, Yale University
  • Israel  Alexander Lubotzky, Hebrew University of Jerusalem
  • Russia  Taras Panov, Lomonosov Moscow State University
  • Russia  Dmitri Panyushev, Institute for Information Transmission Problems
  • Russia  Vladimir Popov, Steklov Mathematical Institute
  • USA  Siddhartha Sahi, Rutgers University
  • Russia  Nikolai Vavilov, Saint Petersburg State University
  • France  Michèle Vergne, Université Paris 7 Diderot, Institut Mathématique de Jussieu
  • Germany  Oksana Yakimova, Friedrich-Schiller-Universität Jena

Time to register

Registration for the conference is free.

Registration is already open and you can leave an application for participation by filling the online registration form.

Registration deadline: May 31, 2022.

For conference participants registered on ICM 2022, there is a visa waiver for entry into the Russian Federation. We strongly recommend all participants to register for ICM 2022 at the official ICM 2022 web site.

Already registered for the conference? You can check or update your registration data.

Financial Support

of the conference


The conference is supported by the Moscow Center of Fundamental and Applied Mathematics and by the ICM 2022 Local Organizing Committee.

The organizers provide free accommodation for participants at the dormitory of Moscow State University. We hope to collect sufficient funds to provide more support for young and female participants including partial cover of their travel expenses.

If you need financial support for your participation in TG 2022, please indicate this in the registration form.


of the conference

The conference will take place at the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University.


Leninskie Gory 1, Moscow, 119991, Russia


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