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Fano polygons and log del Pezzo surfaces
时间  Datetime
2018-11-27 13:00 — 14:00 
地点  Venue
1207, Math Building
报告人  Speaker
Thomas Prince
单位  Affiliation
University of Oxford
邀请人  Host
费佳睿
报告摘要  Abstract

In the case of two dimensions (even in the presence of mild singularities) we already have a rich story; in particular we explain how to associate a quiver to a Fano polygon which intertwines the notions of polygon and quiver mutation. We discuss some of the connections of cluster algebras, in particular the fact that the mirror to a log del Pezzo surface (together with a choice of anti-canonical divisor) has the structure of a cluster variety together with a regular function. Given time, we sketch a related connection to integral affine geometry and the Gross--Siebert program.