*Tid:***10 maj 2004 kl 1515-1700 **

*Plats :***Seminarierummet 3733**, Institutionen för
matematik, KTH, Lindstedts väg 25, plan 7. Karta!

*Föredragshållare:***
Kurt Johansson, Matematik, KTH.
**

**Titel:** **
Universality of distributions from random matrix theory**

* Sammanfattning: *
Limit distributions from random matrix theory, e.g. the limiting
point processes of eigenvalues, are universal in the sense that they do
not depend on the details of the random matrix. There are several results
in this direction, but to prove this universality is to a large extent
still an open problem.

These random matrix distributions also occur in very different contexts, namely in certain discrete probability problems related to random permutations, random growth, probability measures on partitions and random tilings. This shows that the laws coming from random matrix theory are natural limit laws not necessarily associated with random matrices in any immediate way. Convergence to these laws can still only be achieved in certain exactly solvable models, and it remains a challange to understand them more generally.