XXIV International Workshop for Young Mathematicians

Lecture 1

• References:
  • J-P. Serre. Linear Representations of Finite Groups. Springer New York, NY (1977).
  • ❤️ B. E. Sagan. The Symmetric Group. Springer New York, NY (2001).
  • ❤️ P-L. Méliot. Representation Theory of Symmetric Groups. Chapman and Hall/CRC (2017).

Lecture 2

• References:
  • ❤️ B. E. Sagan. The Symmetric Group. Springer New York, NY (2001).
  • ❤️ P-L. Méliot. Representation Theory of Symmetric Groups. Chapman and Hall/CRC (2017).

Lecture 3

• References:
  • P. Biane. Approximate factorization and concentration for characters of symmetric groups. Internat. Math. Res. Notices, 4 179–192, 2001.
  • B. F. Logan and L. A. Shepp. A variational problem for random Young tableaux. Advances in Math., 26(2) 206–222, 1977.
  • A. M. Vershik and S. V. Kerov. Asymptotic behavior of the Plancherel measure of the symmetric group and the limit form of Young tableaux. Dokl. Akad. Nauk SSSR, 233(6) 1024–1027, 1977.
  • ❤️ P-L. Méliot. Representation Theory of Symmetric Groups. Chapman and Hall/CRC (2017).

Lecture 4

• References:
  • P. Biane. Approximate factorization and concentration for characters of symmetric groups. Internat. Math. Res. Notices, 4 179–192, 2001.
  • M. Dołęga, V. Féray, P. Śniady Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations. Adv. Math., 225 (1), 81-120, 2010.
  • V. Ivanov and G. Olshanski. Kerov’s central limit theorem for the Plancherel measure on Young diagrams. In Symmetric functions 2001: surveys of developments and perspectives, volume 74 of NATO Sci. Ser. II Math. Phys. Chem., pages 93–151. Kluwer Acad. Publ., Dordrecht, 2002
  • ❤️ P-L. Méliot. Representation Theory of Symmetric Groups. Chapman and Hall/CRC (2017).