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General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
May 26, 2008 13:00, St. Petersburg, POMI, room 311 (27 Fontanka)
 


New results on cubic surfaces and cubic threefolds: hyperbolic structures on their moduli spaces

James Carlson

Clay Institute, Harvard, USA
Video records:
Real Video 146.6 Mb
Windows Media 154.8 Mb
Flash Video 228.2 Mb
Materials:
Adobe PDF 208.9 Kb

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James Carlson


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Abstract: The moduli space of cubic is modeled on the Poincare disk — complex hyperbolic space of dimension one — modulo a well understood group of symmetries. We show that the same is true of cubic surfaces and cubic threefolds. We discuss also related results for real cubic surfaces and the volume of their moduli space.

Materials: v202.pdf (208.9 Kb)

Language: English

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