Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

A. V. Razumov
Affiliation:

Inst. for High Engergy Physics, Protvino/MPI
Date:

Thu, 28/01/2010 - 15:00 - 16:00 One more interaction between theoretical physics and mathematics will be discussed. There is a famous combinatorial problem to enumerate the so-called alternating-sign matrices, which are a generalization of the permutation matrices. This problem was solved by Doron Zeilberger in 1995. Much simpler solution was given by Greg Kuperberg in 1996. It was based on the one-to-one correspondence between the alternating-sign matrices and the states of the statistical six-vertex model. Here the problem is solved by calculation of the partition function, the main object of the statistical mechanics, for special values of the parameters. I will present an approach to the calculation of the partition function based on simple functional equations.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/158