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K3 surfaces with complex multiplication and their twistor space

Date: Thursday, December 12, 2019 13:30 - 15:30
Speaker: Daniel Huybrechts (University of Bonn)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tamas Hausel

Abstract:

I will review the notion of CM for K3 surfaces. For this type of K3 surfaces the theory is well developed and we will mention some of the more recent results. The main focus of the talk will on the behavior of CM K3 surfaces in twistor family. The latter is a transcendental notion and it is somewhat surprising that certain arithmetic/algebraic properties are preserved at all.
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