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SUMMARY:Anthony Várilly-Alvarado (Rice University)
DTSTART:20200519T130000Z
DTEND:20200519T140000Z
DTSTAMP:20260422T224100Z
UID:WarwickAG/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarwickAG/6/
 ">Quasi-hyperbolicity via explicit symmetric differentials</a>\nby Anthony
  Várilly-Alvarado (Rice University) as part of Warwick algebraic geometry
  seminar\n\n\nAbstract\nA surface X is algebraically quasi-hyperbolic if i
 t contains finitely many curves of genus 0 or 1. In 2006\, Bogomolov and d
 e Oliveira used asymptotic computations to show that sufficiently nodal su
 rfaces of high degree in projective three-space carry symmetric differenti
 als\, and they used this to prove quasi-hyperbolicity of these surfaces. W
 e explain how a granular analysis of their ideas\, combined with computati
 onal tools and insights\, yield explicit results for the existence of symm
 etric differentials\, and we show how these results can be used to give co
 nstraints on the locus of rational curves on surfaces like the Barth Decic
 \, Buechi's surface\, and certain complete intersections of general type\,
  including the surface parametrizing perfect cuboids. This is joint work w
 ith Nils Bruin and Jordan Thomas.\n
LOCATION:https://researchseminars.org/talk/WarwickAG/6/
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