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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-26
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:RUIRAN SUN\, UNIVERSITY OF TORONTO\n\nRigidity problems on modu
 li spaces of polarized manifolds.\n\nMotivated by Shafarevich’s conjectu
 re\, Arakelov and Parshin\nestablished a significant finiteness result: fo
 r any curve C\, the set\nof isomorphism classes of non-constant morphisms 
 C → M_g is finite\nfor g≥2. However\, for moduli stacks parametrizing 
 higher-dimensional\nvarieties\, the Arakelov-Parshin finiteness theorem fa
 ils due to the\npresence of non-rigid families. In this talk\, I will revi
 ew recent\nadvances in rigidity problems for moduli spaces of polarized\nm
 anifolds\, focusing on two main topics: an \"one-pointed\" version of\nSha
 farevich’s finiteness theorem and the distribution of non-rigid\nfamilie
 s within moduli spaces.\n\nJoin on Zoom
DTSTAMP:20260506T035141Z
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