Lara Bossinger - Cluster structures on kinematic spaces.

The kinematic spaces modeling massless particle scattering can be
parametrized in different ways such as via the spinor helicity formalism or using momentum twistor coordinates. Either case yields an algebraic variety that
we call the spinor helicity variety, respectively the momentum twistor variety. In
a general set up (not assuming neither planarity nor dual conformal symmetry
in the model) both varieties are isomorphic to (quotients of) partial flag varieties
and therefore inherit a cluster structure. I will present results indicating that these
cluster structures are relevant in the bootstrap for the amplitude and also exhibit
embeddings of the relevant partial flag varieties into Grassmannian respecting the
cluster structure. Based on joint works with James Drummond, Ross Glew, respectively with Jianrong Li.
Lara Bossinger (IM UNAM, Oaxaca & IAS, Princeton)
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