Seminars in September 2008

  • Young Soo Kwon (권영수), Maps, regular maps and Belyi functions
    Maps, regular maps and Belyi functions
    Young Soo Kwon (권영수)
    Dept. of Mathematics, Yeungnam University, Kyeongsan, Korea.
    2008/09/26 Fri, 3PM-4PM 5PM-6PM

    A map is a 2-cell embedding of a graph into a closed surface and a regular map is a highly symmetric map like five Platonic solids. A map is not merely a topological object. It is also a sequence of permutations, which provides a relation to group theory, and a ramified covering of the Riemann sphere, which gives a relation to Riemann surface. Furthermore, it can be realized by a complex algebraic curve called Belyi function.

    In this talk, classifications of regular maps are considered from several aspect. And, some connections between maps and permutation group, Riemann surface and Belyi functions and their applications are given.

    Tags:

  • Thomas Lam, Symmetric functions and variations on tableaux
    Symmetric functions and variations on tableaux
    Thomas Lam
    Dept. of Mathematics, Harvard University, Cambridge, USA.
    2008/09/09 Tue, 5:30PM-6:30PM
    It is well known that the the central objects in the theory of symmetric functions, Schur functions, are generating functions of semistandard Young tableaux. We present a collection of generalizations of semistandard tableaux. The generating functions of these tableaux are symmetric functions occurring in the study of the (co)homology of the affine Grassmannian, and the K-(co)homology of the Grassmanian.
    Tags:

Monthly Archives