Kähler-Einstein metrics and higher alpha-invariants
Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016
Location: SLMath: Eisenbud Auditorium
algebraic geometry and GAGA
complex differential geometry
mathematical physics
Kahler metric
mirror symmetry
Fano manifold
metrics on complex manifolds
51D25 - Lattices of subspaces and geometric closure systems [See also 05B35]
51E14 - Finite partial geometries (general), nets, partial spreads
14K22 - Complex multiplication and abelian varieties [See also 11G15]
30Bxx - Series expansions of functions of one complex variable
30-06 - Proceedings, conferences, collections, etc. pertaining to functions of a complex variable
14461
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).
14461
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