Loop Grassmannians of lattices

Abstract: To each choice of a based lattice L, a cohomology theory A and a poset P one can associate a space Gr(L,A,P). This generalizes the loop Grassmannians of semisimple groups which is the case of the coroot lattice, classical cohomology and the point poset. This is an attempt to replace reductive groups (in some aspects) by “coliding particles”. One could also view it as an approach to loop Grassmannians through homology rather than cohomology, motivated by the Contou-Carrere symbol.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar