Project Details
Projekt
GRK 2235: Searching for the regular in the irregular: Analysis of singular and random systems
Subject Area
Mathematics
Term
since 2016
Website
Homepage
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 282638148
As in the first funding period, the aim of the International Research Training Group is the advancement of Mathematics in the joint endeavor between Bielefeld University and Seoul National University. The focus will be on the mathematical analysis of problems that exhibit singular features or the in uence of randomness. The group of participating researchers in Bielefeld willdiffer slightly from the group of the first funding period and the research program is restructured accordingly. Mankind has been fascinated by regular structures for a very long time. Not only scientists have tried to create or to detect regular patterns in various contexts. The world, however, is full of irregular structures, like those of cancer cells, galaxies or trajectories of microscopic particles. Scientists, especially mathematicians, have tried to uncover hidden laws which govern the creation of irregularities. The focus of the International Research Training Group (IRTG) stays the search for the regular in the irregular. In a truly international environment, doctoral students will learn to discover and to exploit structures that help to understand singular and random systems. The IRTG concentrates on advanced techniques from the mathematical field of Analysis together with latest developments in neighboring fields such as Mathematical Physics, Geometry or Probability Theory. In the second funding period the focus will remain to be on the mathematical analysis of problems which generically exhibit singular features or randomness. The topics in which the search for the regular in the irregular will be conducted include nonlinear wave equations, integro-differential equations, oscillator models, infinite dimensional dynamics, dynamics in machine learning, random matrices, Coulomb gases, generalized Dirichlet forms, nonlinear partial differential equations on manifolds and fractal metric spaces, and McKean-Vlasov SDEs. The IRTG offers broad mathematical education and fascinating research and doctoral projects on the basis of the complementary expertise in research and education in both departments in Bielefeld and Seoul. After having attained a solid basis in three Introductory Lectures doctoral students will work in one of the three research areas of the research program on singular and random systems. These three areas are re ected in more specialized Topics Lectures leading up to recent developments of international research.
DFG Programme
International Research Training Groups
International Connection
South Korea
Applicant Institution
Universität Bielefeld
Partner Organisation
National Research Foundation of Korea, NRF
IRTG-Partner Institution
Seoul National University
Spokesperson
Professor Dr. Rolf Moritz Kaßmann
IRTG-Partner: Spokesperson
Professor Panki Kim, Ph.D.
