Termine

We talk about the Classification of Finite Simple Groups from (at least) two perspectives: Where does it come from? How is it applied? What is special about this big result, both in terms of its origin and proof and in terms of what we can learn about how mathematical work changed during that time?

Abstract: We will discuss our construction of Ricci soltions on fibre bundles over compact surfaces. These solitons model the limiting behaviour of immortal Ricci flows that collapse to surfaces.

A conjecture by Church-Farb-Putman predicts that the rational cohomology of SL_n(Z) vanishes in high degrees. In this series of two talks, we will explain why one might believe that this conjecture is true and describe recent progress that has been made for SL_n(Z) and related groups. The first talk focuses on SL_n(Z). The second talk puts the results in a broader context of arithmetic groups.

In this talk we introduce a globally convergent numerical method for solving optimization problems with non-linear PDE constraints. Therefore we use projection-based reduced-order-models and accelerated with hyperreduction (empirical quadrature). We embed this algorithm in a trust-region framework. Furthermore we adapt the method to optimization problems with PDE constraints and constraints in the parameterspace.

A conjecture by Church-Farb-Putman predicts that the rational cohomology of SL_n(Z) vanishes in high degrees. In this series of two talks, we will explain why one might believe that this conjecture is true and describe recent progress that has been made for SL_n(Z) and related groups. The first talk focuses on SL_n(Z). The second talk puts the results in a broader context of arithmetic groups.