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Simple Lie Algebras, K3 Surfaces and Rozansky-Witten Invariants

Posted in
D. Rumynin
Tue, 29/11/2011 - 14:00 - 15:00
MPIM Lecture Hall

 Kapranov's approach to Rozhansky-Witten invariants requires
interpreting Atiyah class of a holomorphic symplectic manifold as a product in
a "Lie algebra". We will discuss whether this "Lie algebra" is "simple",
i.e., whether it admits a specialization from Vogel's universal simple
Lie algebra. In the case of K# surfaces, the answer depends on the symmetric plurigenera
of the surface.


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