## IPMU Seminar

Date: | October 16, 2008, 15:30 - 17:00 |

Place: | Seminar Room at IPMU Prefab. B, Kashiwa Campus of the University of Tokyo |

Speaker: | Domenico Orland (IPMU) |

Title: | Quantum Crystals and Topological Strings |

Abstract: | Random partitions appear in many branches of mathematics and physics,
such as Gromov--Witten theory, random matrix theory, Seiberg--Witten
theory and others. In particular, the partition function of the melting crystal
corner, given by the MacMahon function, has been shown to equal the
partition function of the topological string A--model with target space
C3. In this talk I will discuss the equivalent crystal melting
problem in two and three dimensions. Particular emphasis will be given
to the quantized version that is deeply related to the XXZ spin chain.
After having shown exact and numerical results I will also comment on
the possible implications for topological strings. Partly based on 0803.1927[cond-mat.stat-mech]. |