## Localization and Thermalization in Highly-Excited Many-Body Quantum Systems

**ANALYSIS/MATHEMATICAL PHYSICS SEMINAR**

David Huse

Princeton University; Member, School of Mathematics

December 3, 2010

**ANALYSIS/MATHEMATICAL PHYSICS SEMINAR**

Jonathan Williams

University of California, Berkeley

December 3, 2010

There is a way to specify any smooth, closed oriented four-manifold using a surface decorated with simple closed curves, something I call a surface diagram. In this talk I will describe three moves on these objects, two of which are reminiscent of Heegaard diagrams for three-manifolds. These may form part of a uniqueness theorem for such diagrams that is likely to be useful for understanding Floer theories for non-symplectic four-manifolds.

Pierre Colmez

ational Center for Scientific Research; Member, School of Mathematics

December 2, 2010

Ruochuan Liu

Institute for Advanced Study

December 2, 2010

December 1, 2010

Jeremy Mason

Institute for Advanced Study

December 1, 2010

Eric Babson

University of California at Davis

December 1, 2010

Nigel Goldenfeld

University of Illinois at Urbana-Champaign

December 1, 2010

Can we use computational algorithms to make accurate predictions of physical phenomena? In this talk, intended for non-experts, I will give examples where complicated space-time phenomena can be exquisitely captured with simple computational algorithms, that not only produce patterns resembling those seen in experiment, but also make accurate predictions about probes of dynamics and spatial organisation, such as correlation functions. I use examples from condensed matter physics, as well as from geophysics.

Paul Beame

University of Washington; Member, School of Mathematics

November 30, 2010

Scott Aaronson

Massachusetts Institute of Technology

November 29, 2010

In recent joint work with Alex Arkhipov, we proposed a quantum optics experiment, which would sample from a probability distribution that we believe cannot be sampled (even approximately) by any efficient classical algorithm, unless the polynomial hierarchy collapses. Several optics groups are already working toward doing our experiment.