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
