Project Details
Projekt
Non-Archimedean Pluri-Potential Theory (B07)
Subject Area
Mathematics
Term
since 2018
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486
We continue our development of non-archimedean pluri-potential theory, both from a local and a global perspective. A goal is to define products of positive currents on tropical or non-archimedean spaces similarly to the complex Bedford-Taylor theory. The non-archimedean Monge-Ampère equation attracts a lot of interest with potential applications to mirror symmetry. While in the second period, this equation was solved for surfaces over a non-archimedean field of positive characteristic, a similar program over non-archimedean fields in mixed characteristic is planned for the new funding period.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1085:
Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
Applicant Institution
Universität Regensburg
Project Heads
Professor Dr. Walter Gubler; Professor Dr. Klaus Künnemann
