Vektorbündel und lokale Systeme auf nicht-Archimedischen analytischen Räumen

• Antragstellerin: Professorin Dr. Annette Werner
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2020 bis 2023
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 446443754

• Erstellungsjahr: 2024

Zusammenfassung der Projektergebnisse

The aim of this project was a deeper understanding of questions connected to p-adic versions of the Narasimhan-Seshadri and the Simpson correspondence with the help of new tools from p-adic Hodge theory. The results obtained include a study of vector bundles with numerically flat reduction after proper pullback based on Scholze’s theory of diamonds as well as new insights in log p-divisible groups and relative Fontaine-Laffaille modules.

Projektbezogene Publikationen (Auswahl)

• Local Systems on Diamonds and p-Adic Vector Bundles. International Mathematics Research Notices, 2023(15), 12785-12850.
  Mann, Lucas & Werner, Annette
  
• Divided prismatic Frobenius crystals of small height and the category MF
  Würthen, Matti
  
• Log p-divisible groups associated with log 1-motives. Canadian Journal of Mathematics, 76(3), 946-983.
  Würthen, Matti & Zhao, Heer
  
• Log prismatic Dieudonn´ theory for log p- divisible groups over OK
  Würthen, Matti & Zhao, Heer