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BEGIN:VEVENT
DTSTAMP:20260225T093200Z
DTSTART:20260303T150000Z
DTEND:20260303T160000Z
SUMMARY:Manchester Number Theory Seminar - Happy Uppal
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}u1od-mlpas6
 qg-m4tflk
DESCRIPTION:Speaker: Happy Uppal (Bristol)\n\nTitle: Lines on del Pezzo s
 urfaces\n\nAbstract: One of the crowning achievements of classical algeb
 raic geometry is the Cayley–Salmon theorem\, which states that any smoot
 h cubic surface over an algebraically closed field contains exactly 27 l
 ines. Over more general fields\, however\, the situation becomes more su
 btle: the number of lines depends on the arithmetic of the field. Segre 
 classified the possible numbers of lines that can appear on a cubic surf
 ace over arbitrary fields and showed that all such line counts can be re
 alised over the rational numbers.\n\nIn this talk\, I will discuss joint
  work with Enis Kaya\, Stephen McKean\, and Sam Streeter\, in which we e
 xtend this perspective to del Pezzo surfaces -- a class of surfaces that
  includes cubic surfaces. We investigate which line counts can occur on 
 del Pezzo surfaces over general fields and how these counts are influenc
 ed by the arithmetic of the field. We also explore the analogous questio
 n for conic bundles.\n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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