Turbulence is a classical physical phenomenon that has been a great challenge to mathematicians, physicists, engineers, and computational scientists. At the end of the last century, chaos theory was developed to explore similar phenomena that occur in a wide range of applied sciences, but the eyes have always been on the big ball – turbulence. Controlling and identifying the onset of turbulence ca...

Groups like GL_n, SL_n or SP_n play an important role in many areas of mathematics. Some of their properties  (when studied over the real or complex numbers) are best understood via the associated symmetric spaces. Later buildings were introduced to study the respective groups over other fields.  This theory also captures reductive groups over non-archimedian local fields with discrete valuation,...

When does a random graph contain a perfect matching? Or a Hamilton cycle? The answers to such problems, referred to as "thresholds", have been the central concern of the study of random discrete structures. A general guess for the location of the threshold for any such problem, based on a very simple computation of what is called the "expectation-threshold", is furnished by some old conjectures of...

The MATH+ Activity Group „Mathematics of Data Science” is presenting the first Hot Topic Talk on 9th January 2020: Erik Vanden-Eijnden will speak about “Trainability and accuracy of artificial neural networks”. The talk will take place at 4:15 pm at the ZIB Lecture Hall, Takustr. 7 in Berlin-Dahlem!

On 13th December 2019, the first MATH+ Day will take place in Urania Berlin. The research activities in the Cluster of Excellence MATH+ are manifold. With the annual MATH+ Day we want to provide an information and networking opportunity for all members. Here, all projects can present themselves and all MATH+ members can learn about ongoing research activities. By getting to know what’s going on in...

In her talk, Barbara Zwicknagl will discuss energy-driven pattern formation in materials by the example of shape memory alloys, which constitute a fascinating class of smart materials. These materials "remember" their original shape: Even if they are deformed at low temperature they return to their original memorized shape when heated above a critical temperature. This effect is based on a solid-s...