Fanghua Lin (New York University)
Title:	An optimal partition problem for the Dirichlet eigenvalues
Abstract:	In this talk, I will discuss a simply problem which can be formulated as follows: Given a bounded domain in the Euclidian space, and a positive integer m, find a partition of this domain into m subdomains in such a way that the sum of the first eigenvalues of the Laplacian operator with the zero Dirichelet boundary condition for these m subdomains to achive the minimun possible value among all reasonable partitions.