Cluster poisson structure on the configuration space of lines in 3-space

par Dani Kaufman (MPIS Leipzig)

vendredi 4 sept. 2026, 14:00 → 15:00 Europe/Paris

Amphi Jordan (Bat. Braconnier)

I will present some work in progress which produces cluster poisson structures on PGL_n configuration spaces of partial flag varieties. The simplest interesting case is the space of PGL_4 configurations of points of the Grassmannian Gr(2,4), i.e. lines in projective 3 space. The construction uses ideas from Goncharov and Kontsevich on a  spectral description of these configuration spaces and my recent work on non-commutative cluster varieties, so I will also give a brief overview of these ideas too.  This work is motivated by some applications to the computation of scattering amplitudes in N=4 SYM theory.