The theory of automorphic forms is a dynamically expanding part of number theory with an increasing number of connections and applications to other branches of mathematics as well as physics. Research is driven by long standing conjectures and unexpected breakthroughs.
The semester will focus on recent developements in the theory of surface singularities, and the connection of this discipline with low-dimensional topology, and in particular, to Heegaard Floer homology.
The goal of the semester is to bring together prominent scientists of the field to discuss the frontline of research and to introduce the next generation of researchers to the wide range of ideas and methods of contemporary probability and mathematical statistical physics.
The semester focuses on discrete structures and their limits. This is an active area of research that connects discrete mathematics with ergodic theory, stochastic processes, spectral theory, measured group theory and various branches of analysis and topology.
The semester is built around two strongly related topics, Fourier analysis and additive problems. In the first half of the semester, we will focus on Fourier analysis and its applications in various branches of mathematical analysis.
Convex and Discrete Geometry Summer School and Worskhop. Graph Drawing and Combinatorial Geometry Workshop.
The main theme of the Semester is to connect various approaches in the Theory of Complex Manifolds considering both the Kahlerian and non-Kahlerian cases.
Quantum optimal transport is a flourishing research field these days with several different approaches and interpretations ranging from semi-classical to free probabilistic, and from static to dynamic, respectively.
The major goal of the semester is to bring together experts and young researchers to initiate new interactions on various aspects of chaotic dynamical systems out of equilibrium and on the geometry of non-conformal systems.