The only known proof of resolution of singularities of threefolds is by first establishing a local resolution (usually called local uniformization) along a valuation, and then globalizing. Semitable reduction of surfaces is still a conjecture (expected to be of a comparable level of difficulty or slightly easier), and it can be attacked similarly by first solving a local question on a non-archimedean (e.g. Berkovich) space. In my talk I'll explain how local uniformization of curves is proved (this is already a difficult theorem) and then will talk about a program to establish the case of surfaces.
Freitag, den 14. Oktober 2022 um 13:30 Uhr, in INF 205, SR C Freitag, den 14. Oktober 2022 at 13:30, in INF 205, SR C
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Katharina Hübner