Kommende Vorträge

https://people.mpim-bonn.mpg.de/scholze/veranstaltungen.html

In this talk, I will introduce the concept of a separable commutative algebra in the setting of tt-geometry and discuss its connection to Mathew’s work on Galois theory. Building on this, I will present several classification results for separable algebras in derived commutative algebra and chromatic homotopy theory. In the final part of the talk I will focus attention to the problem of classifying separable algebras in the category of genuine G-spectra for a finite group G.

Knots which bound embedded discs in the 4-ball are called slice, and such knots have been studied for several decades. More generally one can ask which knots bound embedded discs, i.e. are slice, in an arbitrary 4-manifold with 3-sphere boundary. E.g. if one finds a knot which is slice in a homotopy 4-ball but not in the 4-ball, this would disprove the 4-dimensional Poincare conjecture.