Kolloquium Wilhelm Killing

Get an insight into the research of five new postdoctoral researchers of Mathematics Münster. In short scientific presentations they will introduce their topics.
After the talks, there will be the opportunity to exchange ideas while enjoying tea, coffee and cake in the Common Room.

• Catrin Mair, Homotopy theory in a condensed world
• Stefan Schrott, Optimal transport of stochastic processes
• Mathias Sonnleitner, Connecting and separating dots
• Ferdinand Wagner, Habiro Cohomology & Refined THH
• Alexander Van Werde, On the spectral determinacy of random graphs

Since Hawking proved his singularity theorem, it is clear that singularities of big bang type typically occur in cosmological solutions to Einstein?s equations. Moreover, due to the work of Belinskii, Khalatnikov and Lifschitz (BKL), there is a proposal concerning the nature of these singularities. For many matter models, solutions are expected to exhibit chaotic dynamics governed by the so-called BKL map, but for some matter models, the dynamics are expected to be convergent/quiescent. The purpose of the talk is to discuss quiescent singularities, with an emphasis on a geometric notion of initial data on the singularity. In particular, we present a general condition on initial data ensuring big bang formation, curvature blow up and solutions that induce data on the singularity