From complementations on lattices to locality

23.10.2020, 11:00  –  Online Meeting
Arbeitsgruppenseminar Analysis

Sylvie Paycha (University of Potsdam)

The first talk of the fall semester starts with Sylvie Paycha speaking about "From complementations on lattices to locality".

Abstract. 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 and discuss how this relates to known results in the litterature on lattices.
This is joint work with Pierre Clavier, Li Guo and Bin Zhang