Sylvie PAYCHA - From Complementations on Lattices to Locality
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2020-11-29

A complementation proves useful to separate divergent terms from convergent terms. Hence the relevance of complementation in the context of renormalisation. The very notion of separation is furthermore related to that of locality. We extend the correspondence between Euclidean structures on vector spaces and orthogonal complementation to a one to one correspondence between a class of locality structures and orthocomplementations on bounded lattices. This is joint work with P. Clavier, Li Guo and Bin Zhang


https://indico.math.cnrs.fr/event/4834/contributions/4760/attachments/2599/3276/SylviePAYCHArevised.pdf