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SUMMARY:Tim Browning (IST Austria)
DTSTART:20200709T173000Z
DTEND:20200709T183000Z
DTSTAMP:20260423T024507Z
UID:MAGIC/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAGIC/10/">D
 el Pezzo surfaces by degrees</a>\nby Tim Browning (IST Austria) as part of
  MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\n\n\nAbstrac
 t\nThe arithmetic of del Pezzo surfaces gets harder as the degree decrease
 s\, with the main questions being about \nexistence and distribution of ra
 tional points. Degree 1 del Pezzo surfaces can be embedded in weighted pro
 jective space and \nadmit a natural elliptic fibration.  On the one hand t
 heir arithmetic is very simple --- they always have a rational point --- b
 ut any significant piece of  \nfurther information appears to lie beyond t
 he veil...  I shall survey what is known about them before discussing a ne
 w upper bound for the density of rational points \nof bounded height that 
 uses a variant of the square sieve worked out by Lillian Pierce.  This is 
 joint work with Dante Bonolis.\n
LOCATION:https://researchseminars.org/talk/MAGIC/10/
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