Hong Kong Geometry Colloquium

October 30, 2004 (Saturday)

Room 517, Meng Wah Complex, HKU

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Professor J. Wolf

UC Berkeley, USA

Flag Domains and K3 Surfaces

Abstract

Flag domains are open orbits of a real semisimple Lie group G₀ on a complex flag manifold Z = G/Q, where G is the complexification of G₀ and Q is a parabolic subgroup. They occur in many differential-geometric situations, for example as bounded symmetric domains. They occur in many representation theoretic situations, providing concrete realizations of discrete series representations. Here we indicate their role as period domains in the theory of moduli spaces, with emphasis on the interesting and important case of K3 surfaces.