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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 (Tsinghua University)
Location: SLMath: Eisenbud Auditorium
  • 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



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

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