# Seminars & Colloquia Calendar

Algebra Seminar

## A journey from the octonionic $$P^2$$ to a fake $$P^2$$

#### Lev Borisov, Rutgers

Location:  https://rutgers.zoom.us/j/95075528338
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.

Via Zoom

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