The goal of these symposia will be to determine how to include the true physics of galactic superwinds in cosmological hydrodynamic calculations. To move forward, we believe that theorists must develop techniques to compare new data to current theoretical calculations. The aim of these symposia will be to establish a more sophisticated theoretical treatment of galactic superwinds given the insights we have obtained from recent datasets.
The Simons Symposium on Discrete Analysis: Beyond the Boolean Cube was the second symposium organized on this topic. The first was held in 2012 and was called Analysis of Boolean Functions. This most recent meeting focused on the interplay between the discrete cube setting and its non-commutative, non-independent, continuous, and number-theoretic counterparts. Key topics included Fourier analysis on groups, discrete analysis in additive groups and fields, invariance principles, discrete partitions of Gaussian and spherical spaces, Gaussian isoperimetric problems, connections between boundedness of Gaussian and Rademacher processes, explicit optimal rounding of semidefinite programs, and connections to Markov chains.
The Simons Symposium on Quantum Physics Beyond Simple Systems was the second symposium organized on this topic, the first having been held in 2012. It offered another opportunity for researchers to discuss the fast-evolving themes of modern quantum complex systems. These themes include superconducting and semiconductors quibits; topological insulators and superconductors, Majora fermions; graphene and heterostructures of 2D atomic crystals; polaritons and quantum optics. The first three themes were the focus of the 2012 Symposium and in the two years since have proven that they offer a fertile field for the further progress.
The Simons Symposium on Families of Automorphic Forms and the Trace Formula provided an opportunity for researchers to study families of automorphic representations of higher rank groups. During the symposium participants investigated the trace formula, plancherel equidistribution and other recent techniques from harmonic analysis and representation theory with the goal to set an agenda for the field.
This symposium will focus on setting a clear agenda for future developments in the related fields of tropical and nonarchimedean analytic geometry. One of the goals of the meeting will be to produce high quality expository material presenting the methods, results, and ambitions of these active research areas. Another will be to identify problems in other fields of mathematics that could be amenable to tropical and nonarchimedean analytic methods and establish new rigorous links with those neighboring fields.