The Hebrew University of Jerusalem
**
The Edmund Landau Minerva Center for Research in Mathematical
Analysis and Related Areas**

#
THE LANDAU LECTURES 2007/2008

##
Professor PERCY DEIFT
(New York University)

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will deliver three lectures on:

UNIVERSALITY FOR MATHEMATICAL AND PHYSICAL SYSTEMS

All physical systems in equilibrium obey the laws of thermodynamics.
In other words, whatever the precise nature of the interaction between the atoms and molecules
at the microscopic level, at the macroscopic level, physical systems exhibit universal behavior in
the sense that they are all governed by the same laws and formulae of thermodynamics.
- Thursday, December 20, 2007
**Overview**
- In the FIRST talk the speaker will recount some recent history of universality ideas in physics starting
with Wigner's model for the scattering of neutrons off large nuclei and show how these ideas have led
mathematicians to investigate universal behavior for a variety of mathematical systems.
This is true not only for systems which have a physical origin, but also for systems which arise in a purely
mathematical context such as the Riemann hypothesis, and a version of the card game solitaire called patience sorting.

- Monday, December 24
^{th}, 2007
**Analytical Tools**
- In the SECOND talk the speaker will describe some of the analytical tools that are used in analyzing some of the
mathematical systems discussed in the first talk. The
*Riemann-Hilbert* method plays a central role.

- Wednesday, December 26
^{th}, 2007
**Combinatorial Methods**
- In the THIRD talk the speaker will describe some of the combinatorial and algebraic tools that are needed to analyze
the above mathematical systems. Here the
*Robinson-Schensted-Knuth* algorithm and the theory of
non-intersecting paths play a key role.

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**Last updated**: July 10th, 2007

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