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Determinantal Barlow surfaces and phantom categories

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Pawel Sosna
Don, 18/04/2013 - 10:30 - 12:00
MPIM Lecture Hall

Determinantal Barlow surfaces and phantom categories I will report on the construction of an exceptional collection of maximal length 11 on the Barlow surface S. This can be used to show that in a small neighbourhood of S in the moduli space of determinantal Barlow surfaces, the generic surface has a semiorthogonal decomposition of its derived category into a length 11 exceptional sequence and a category with trivial Grothendieck group and Hochschild homology, called a phantom category. This is joint work with Christian B?hning, Hans-Christian Graf von Bothmer and Ludmil Katzarkov.

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