Seminars & Colloquia Calendar

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Algebra Seminar

A journey from the octonionic \(P^2\) to a fake \(P^2\)

Lev Borisov, Rutgers

Date & time: Wednesday, 09 September 2020 at 2:00PM - 3:00PM

Abstract: This is joint work with Anders Buch and Enrico Fatighenti. We discover a family of surfaces of general type with \(K^2=3\) and \(p=q=0\) as free \(C_{13}\) quotients of special linear cuts of the octonionic projective plane \(\mathbb O \mathbb P^2\). A special member of the family has \(3\) singularities of type \(A_2\), and is a quotient of a fake projective plane, which we construct explicitly.

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