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SUMMARY:Cluster varieties\, amplitude symbols\, and mutation invariants. -
  Dani Kaufman (University of Copenhagen)
DTSTART:20220719T133000Z
DTEND:20220719T143000Z
UID:TALK175001@talks.cam.ac.uk
DESCRIPTION:Cluster varities of Fock-Goncharov are varieties with a toric 
 atlas constructed from a seed torus and a combinatorial process called mut
 ation. The Grassmannian Gr(4\,n) has structure of a cluster variety and al
 so encodes the kinematic space of some flavors of n particle N=4 super Yan
 g-Mills theory. I will breifly recall how cluster monomials appear as ampl
 itude symbols and as cannonical basis elements when the Grassmannian is of
  finite mutation type (n<8) and how to use mutation invariant functions to
  understand new symbols and basis elements when n=8. Based on the work of 
 my PhD thesis.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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