Complex Analytic Geometry and GAGA Theorem

Speaker: Yingdi Qin (SIMIS)

Time: 2025-12-17 16:00-18:00
Location: 1310, SIMIS
Zoom Meeting ID: 871 6008 9240 Passcode: SIMIS

摘要：

Classical complex analytic geometry has the concept of coherent sheaves on it but there is no correct notion of quasi-coherent sheaves due Gabber’s example. In the context of condensed mathematics, Clausen-Scholze re-invented complex analytic spaces, and defines the category of quasi-coherent sheaves on them. Six functor formalisms applies to it, and descent works well for quasi-coherent sheaves. GAGA theorem is reproved by comparing the valuation spectrum of analytic spaces.