BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Cluster Algebra Via Non-Archimedean Enumerative Geometry - Tony Yu
 e Yu (Université Paris Saclay)
DTSTART:20211109T153000Z
DTEND:20211109T161500Z
UID:TALK164773@talks.cam.ac.uk
DESCRIPTION:I will discuss the mirror symmetry of cluster varieties via th
 e enumeration of non-archimedean analytic curves. We construct a canonical
  scattering diagram by counting infinitesimal non-archimedean cylinders by
 passing the Kontsevich-Soibelman algorithm. We prove adic convergence\, ri
 ng homomorphism\, finite polyhedral approximation\, theta function consist
 ency and Kontsevich-Soibelman consistency. Furthermore\, we prove a compar
 ison theorem with the combinatorial constructions of Gross-Hacking-Keel-Ko
 ntsevich. This has two-fold implications: First it gives a concrete combin
 atorial way for computing the abstract non-archimedean curve counting in t
 he case of cluster varieties\; conversely\, we obtain geometric interpreta
 tions of various combinatorial constructions and answer several conjecture
 s of GHKK. Joint work with S. Keel.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR