UCSD Differential Geometry Seminar (Math 258) 2003-2004 Unless otherwise noted, all seminars are on Wednesdays 4-5 pm, at APM 6218.

April 6th, 2004 (Special date. Joint seminar with UCI)

Title:Arithmeticity of lattice, virtual first Betti number and rational points on complex two ball quotients.
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4:00-5:00pm, at APM 6438: Jie Qing, UCSC/Princeton

Title:Conformally compact manifolds and conformal invariants
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April 21th, 2004

Title: The geometry of the moduli spaces of Riemann surfaces.
Abstract: We introduce and study new complete Kahler metrics on the moduli and the Teichmuller spaces of Riemann surfaces, the Ricci and the perturbed Ricci metric. They are asymptotically equivalent to the Poincare metric. The perturbed Ricci metric has bounded negative sectional and Ricci curvatures. As corollaries we prove the equivalence of these new metrics to several classical metrics such as the Kahler-Einstein metrics, proving a conjecture of Yau in the early 80s. Other consequences will also be discussed. This is joint work with K. Liu and S.-T. Yau.

April 28th, 2004

Title: Complex submanifolds in Hilbert space
Abstract: We show that any complex submanifold in Hilbert space defined by global equations has a basis of pseudoconvex open neighborhoods, that holomorphic vector bundles are acyclic over smooth complete intersections in Hilbert space, and that such complete intersections are holomorphic retracts of some pseudoconvex open neighborhoods.

May 4th, 2004, JOINT SEMINAR WITH UCI HELD at UCI, MSTB 254

Title: Notions of generalized Ricci curvature
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4:00pm-5:00pm, Ben Chow, UCSD

Title: Ricc flow and Fukaya theory in dimension 3 cd
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Title: Green's form estimates and application
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Winter 2004 Schedule

Fall 2003 Schedule

Sprng 2003 Schedule

Questions: benchow@math.ucsd.edu or lni@math.ucsd.edu