Title: Volume minimizers and (pseudo-)holomorphic cycles

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• Claudio Arezzo (ICTP)
• Wednesday 15 May 2013, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

t is well known that holomorphic cycles minimize volume in their homology class in a compact Kahler manifold. I will quickly review some classical results about the attempt of proving the converse both in the positive (Siu-Yau, Lawson-Simons) and some negative constructions.

I will present a new approach, and an extension of this classical problem which generates a new variational problem whose associated functional identifies (pseudo-)holomorphic cycles. Joint work with J. Sun.

This talk is part of the Algebraic Geometry Seminar series.

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