This is the report on the Oberwolfach workshop The Arithmetic of Fields, held in February 2006. Field Arithmetic (MSC 12E30) is a branch of mathematics concerned with studying the inner structure (orderings, valuations, ...

The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and ...

It was the aim of this workshop to gather a multidisclipinary and international group of scientists at the forefront of research in econometrics, financial time series analysis, extreme value theory, financial mathematics, ...

Over the last 20 years risk management has become one of the more challenging tasks in the financial and insurance industries. With the current uncertainty in the financial institutions and markets, risk management is a ...

The workshop focussed on the mathematical modeling and analysis of the mutual interaction among living cells, their interaction with the environment, and the resulting morphogenetic processes. The interplay of bio-mechanical ...

The renormalization group was originally introduced as a multiscale approach to quantum field theory and the theory of critical phenomena, explaining in particular the universality observed e.g. in critical exponents. Since ...

The renormalization group is a mathematical tool used in the analysis of systems with infinitely many degrees of freedom associated with length scales. The workshop presents recent work in this domain concerning probability ...

This workshop addressed specific inverse problems for the time-harmonic Maxwell’s equations, resp. special cases of these, such as the Helmholtz equation or quasistatic approximations like in impedance tomography. The ...