- Series
- Number Theory
- Time
- Wednesday, March 11, 2026 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Joe Rabinoff – Duke University – jdr@math.duke.edu – https://sites.math.duke.edu/~jdr/
- Organizer
- Joshua Stucky
Chambert-Loir and Ducros have introduced a theory of real-valued smooth differential forms on Berkovich spaces that play the role of smooth forms on complex varieties. We compute the associated Dolbeault cohomology groups of curves by reducing to the case of metric graphs. I'll introduce smooth forms on graphs, and explain how the theory in CLD has to be modified in order to get finite-dimensional cohomology groups.