CAT(0) in Nature

I will briefly recall concepts of CAT curvature, some of its geometric and topological consequences, and then discuss three examples: toric varieties, iterated blowups and ramified coverings. In the first two existence of CAT0 metric is established in some generality, ramified coverings are somewhat problematic, but perhaps most interesting.

Seminar webpage: www.math.uni-leipzig.de/cms2/en/institut/seminare/acseminar/