Winter school on Representation theory and combinatorics tools in the study of some probabilistic models
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  • Winter school on Representation theory and combinatorics tools in the study of some probabilistic models

Winter school on Representation theory and combinatorics tools in the study of some probabilistic models

Thời gian: 08:00:02/12/2024 đến 17:00:04/12/2024

Địa điểm: Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi

Content

Several probabilistic models (random walks conditioned to stay in some domains, percolation problems, TASEP, etc.) are naturally related to combinatorial objects appearing in the representation theory of Coxeter groups, Lie algebras or their generalisations. In particular, new results and objects have recently been introduced in representation theory (crystal graphs, shifted Schur functions, Macdonald polynomials, generalisations of the RSK procedure, etc.), suggesting new interactions with probability theory.

This winter school will be organised around three mini-courses given by François Chapon (University of Toulouse, France), Cédric Lecouvey (University of Tours, France) and Marc Peigné (University of Tours, France). In addition, we will give the opportunity to many researchers in representation theory and probability theory to present their work focusing on the above mentioned topics.

The three mini-courses are: 

  • The simple random walk on Z^d and the Pitman transform (Marc Peigné)
  • Some probabilistic aspects of representation theory (Cédric Lecouvey)
  • Non-commutative probability, representation theory and the orbit method (François Chapon)

In addition, nine talks (30 minutes each) on related research topics will complete the program.

Scientific Committee

  • Ngo Hoang Long, Hanoï National University of Education; 
  • Marc Peigné, University of Tours, France;
  • Kilian Raschel, CNRS, University of Angers, France.

Principal Lecturers

  • François Chapon, University of Toulouse, France;
  • Cédric Lecouvey, University of Tours, France;
  • Marc Peigné, University of Tours, France.

Organizing committee

  • Lê Minh Hà, Vietnam Institute for Advanced Study in Mathematics;
  • Ngo Hoang Long, Hanoï National University of Education.

Sponsors

  • Vietnam Institute for Advanced Study in Mathematics (VIASM);
  • The IRL France-Vietnam in Mathematics and its Applications (IRL-FVMA).

Language: English.

Registration and Financial Support

For young participants from Vietnam we offer several grants to cover travel and accommodation expenses. Participants from abroad are welcome but due to limited budget, we cannot guarantee full financial support.

If you would like to be a participant, you should register via registration form via link: Registration link. The registration is free but compulsory.

Deadline for registration: November 15, 2024

Deadline for grant application: November 11, 2024

Contact: 

Kilian Raschel: raschel@math.cnrs.fr 

Ms. Nguyen Hong Anh: nguyenhonganh@viasm.edu.vn