Metric limits of Calabi-Yau manifolds

Abstract: I will discuss the problem of understanding the behavior of degenerating families of Ricci-flat Kähler metrics on a Calabi-Yau manifold, and what their possible metric limits are. I will explain what we know in general about such metric limits, what techniques are used to approach these questions, and what applications these results have.

Based on joint works with Gross-Zhang and with Hein.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".