# Mathematical Sciences Research Institute

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# Fano-Ricci limit spaces and spectral convergence

## Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016

March 25, 2016 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Akito Futaki (University of Tokyo)
Location: MSRI: Simons Auditorium
Tags/Keywords
• algebraic geometry and GAGA

• complex differential geometry

• mathematical physics

• Kahler metric

• mirror symmetry

• Gromov-Hausdorff metric

• Fano manifold

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

#### 14475

Abstract

We study the behavior under Gromov-Hausdorff convergence of the spectrum of weighted $¥overline{¥partial}$-Laplacian on compact K¥"ahler manifolds.

This situation typically occurs for a sequence of Fano manifolds with the anti-canonical K¥"ahler class. This talk is based on a joint work with S. Honda and S. Saito