BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jesús Martínez García (Essex) DTSTART:20210226T113000Z DTEND:20210226T123000Z DTSTAMP:20260412T204727Z UID:fano2021/12 DESCRIPTION:Title: Asymptotically log del Pezzo surfaces\nby Jesús Martínez García ( Essex) as part of Fano Varieties and Birational Geometry\n\n\nAbstract\nAs ymptotically log Fano varieties are a type of log smooth log pairs of vari eties of Fano pairs introduced by Cheltsov and Rubinstein when studying th e existence of Kaehler-Einstein metrics with conical singularities of maxi mal angle. From an MMP point of view they are strictly log canonical and a s such\, they do not belong to a finite number of families. However\, one may hope to give a fairly explicit classification for them in low dimensio ns. An asymptotically log Fano variety\, has an associated convex object k nown as the body of ample angles. Cheltsov and Rubinstein classified stron gly asymptotically log del Pezzo surfaces. These are two-dimensional asymp totically log Fano varieties for which the body of ample angles is maximal around the origin. This apparently technical condition has striking conse quences both for the structure and birational geometry of these surfaces\, making all minimal asymptotically log del Pezzo surfaces to have rank at most two. The latter condition is what allowed Cheltsov and Rubinstein to give a full classification of asymptotically log del Pezzo surfaces. In th is talk\, we introduce these notions while attacking the more general prob lem of classifying asymptotically log del Pezzo surfaces. We further show that the body of ample angles is in fact a convex polytope.\n LOCATION:https://researchseminars.org/talk/fano2021/12/ END:VEVENT END:VCALENDAR