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Weyl groups and cluster structures of families of log Calabi-Yau surfaces II
时间  Datetime
2019-12-12 16:00 — 17:00 
地点  Venue
539
报告人  Speaker
Yan Zhou
单位  Affiliation
BICMR
邀请人  Host
费佳睿
报告摘要  Abstract

    In the second talk, we will discuss the interplay of Weyl groups and cluster structures on families of positive log CY surfaces. On universal families, the action of Weyl groups gives us a simple, conceptual understanding of the Donaldson-Thomas transformation. Restricted to degenerate subfamilies, Weyl groups permute disjoint subfans in the cluster scattering diagrams and enable us to construct a large class of log CY varieties with non-equivalent atlases of cluster torus charts, generalizing the well-known case of the moduli of PGL2-local systems on 1-punctured genus 1 Riemann surface.