Calabi-Yau manifolds with maximal volume growth

Abstract: Calabi-Yau manifolds with maximal volume growth are complete Ricci-flat Kähler manifolds where any r-ball has volume at least r^m up to a uniform constant factor and m is the real dimension of the manifold. Bishop-Gromov volume comparison theorem implies that such growth is indeed maximal. This notion generalizes the more well-known notion of asymptotically conical (AC) manifolds. Contrary to the AC case, the asymptotic cones at infinity in general can have non-isolated singularities. In this talk, I will give a (biased) survey of the recent progress on this ongoing topic.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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