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# Fabio Bernasconi

## July 14, 2021 at 16:00 – 17:00 CEST

GAUS-Seminar talk by Fabio Bernasconi (University of Utah)

*Log liftability for del Pezzo surfaces and applications to singularities in positive characteristic*

Abstract: In a recent work with Arvidsson and Lacini, we proved a liftability result to characteristic zero for singular del Pezzo surfaces over perfect fields of characteristic $p>5$. I will explain exactly what notion of liftability we use for singular surfaces (and pairs), and I will sketch some parts of the proof.

From this, I will explain the importance of this result for positive characteristic birational geometry: we prove a Kawamata-Viehweg vanishing theorem for such surfaces that I successively used, in a work with Kollár, to deduce properties of singularities of klt threefolds and new liftability results for threefolds Mori fibre spaces in positive characteristic.

Zoom details:

https://uni-frankfurt.zoom.us/j/95464396687?pwd=eno5NGpQdHBmVFlaT1pBU0xlcG15Zz09

Meeting ID: 954 6439 6687

Passcode: 813167