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Seminar

BGMS Seminar: Supersingular twistor spaces February 11, 2019 (01:30 PM PST - 02:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Daniel Bragg (University of California, Berkeley)
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We will describe how the crystalline cohomology of a supersingular K3 surface gives rise to certain one-parameter families of K3 surfaces, which we call supersingular twistor spaces. Our construction relies on the special behavior of p-torsion classes in the Brauer group of a supersingular K3 surface, as well as techniques coming from the study of derived categories and Fourier-Mukai equivalences. As an application, we will describe a new proof of Ogus's crystalline Torelli theorem, which we extend to small characteristic.

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