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Geometrical constructions on spaces of stability conditions and connections to cluster varieties

Ponente: Tom Sutherland
Institución: Università di Pavia (Italia)
 Tipo de Evento: Investigación
Cuándo 29/11/2016
de 16:00 a 17:30
Dónde Salón 1 de seminarios
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In this talk I will study the geometry of the spaces of stability conditions
of Calabi-Yau-3 triangulated categories of the previous talk using the
Kontsevich-Soibelman wall-crossing formula which explains how the Euler
characteristics of their moduli spaces change across walls in the space of
stability conditions.  In particular we will explore the geometric
relationship with cluster varieties which is already apparent at the
combinatorial level.