Kommende Vorträge

Please note the VENUE of this talk:
Lipschitz-Saal, Endenicher Allee 60, Math. Center, Bonn University.
Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de).

We show that if a 3-manifold admits a metric of finite volume
that is almost hyperbolic in a suitable, then there exists a hyperbolic
metric that is close to the given metric in the $C^{2,\alpha}$-topology.
We then discuss an application of this result to the drilling and filling of
hyperbolic 3-manifolds. The talk is based on joint work with Ursula
Hamenstädt.

I will give a brief overview of the development of motivic cohomology, its parallels with singular cohomology and its place in motivic stable homotopy theory. I will then describe some of the recent off-shoots of motivic cohomology: cycles with modulus, Chow-Witt theory, and motivic filtrations on p-adic K-theory, and conclude with some speculations on future developments.

https://icm2022.abstractserver.com/program/#/details/sessions/211

Please note the VENUE of this talk:
Math Center, Endenicher Allee 60, Room 0.011, Bonn University.
Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de).

The Yamabe invariant is a real-valued diffeomorphism invariant coming from Riemannian geometry. Using Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a Kähler surface is determined by its Kodaira dimension. We consider the extent to which this remains true when the Kähler hypothesis is removed. This is joint work with Claude LeBrun.