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Kähler-Einstein metrics and higher alpha-invariants

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

March 21, 2016 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Heather Macbeth (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • algebraic geometry and GAGA

  • complex differential geometry

  • mathematical physics

  • Kahler metric

  • mirror symmetry

  • Fano manifold

  • metrics on complex manifolds

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

Abstract

I will describe a condition on the Bergman metrics of a Fano manifold M, which guarantees the existence of a Kähler-Einstein metric on M.  I will also discuss a conjectural relationship between this condition and M's higher alpha-invariants \alpha_{m,k}(M), analogous to a 1991 theorem of Tian for \alpha_{m,2}(M).
 

Supplements No Notes/Supplements Uploaded
Video/Audio Files

14461

H.264 Video 14461.mp4 247 MB video/mp4 rtsp://videos.msri.org/data/000/025/578/original/14461.mp4 Download
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