Conference Service Mandl

abstract: This school is primarily organized for graduate students and postdocs, but everybody is welcome. The core program consists of four minilectures by Rafael Benguria (Isoperimetric Inequalities for Eigenvalues of the Laplacian), Laszlo Erdos (Universality of Wigner Random Matrices), Michael Loss (Kinetic Theory and Kac's Master Equation), and Gunter Stolz (Localization in Disordered Media). Thanks to support by the University of Arizona and the NSF, we can contribute to the travel costs of many participants.

abstract: The aim of the conference is to reflect on recent and future developments in broadly understood geometric functional analysis, with emphasis on interactions with other subfields of mathematics and with other mathematical sciences, including but not limited to computer science, mathematical physics and statistics.

abstract: The goal of this program is to showcase the many remarkable developments that have taken place in the past decade in Random Matrix Theory (RMT) and to spur on further developments on RMT and the related areas Interacting Particle Systems (IPS) and Integrable Systems (IS): IPS provides an arena in which RMT behavior is frequently observed, and IS provides tools which are often useful in analyzing RMT and IPS/RMT behavior.

abstract: Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences. During the last 10 yeas or so there has been significant developments both in the mathematical theory and applications of inverse problems. The purpose of the program would be to bring together people working on different aspects of the field, to appraise the current status of development and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.

abstract: This conference is in honor of Willard Miller, Jr., who will be retiring from the University of Minnesota. Topics will include symmetry methods for differential equations, higher symmetries, separation and multi-separation of variables, special functions and orthogonal polynomials, Hamiltonian systems, both classical and quantum, super-integrability and its connections with separability and quasi-exact solvability, and applications to physical systems arising in classical and quantum mechanics and relativity.