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SUMMARY:Tyler Billingsley (St. Olaf College)
DTSTART:20220404T220000Z
DTEND:20220404T223000Z
DTSTAMP:20260423T021234Z
UID:POINT/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/46/">R
 ecent Work on Specialization of Elliptic Surfaces</a>\nby Tyler Billingsle
 y (St. Olaf College) as part of POINT: New Developments in Number Theory\n
 \n\nAbstract\nThe study of cubic equations in two variables with at least 
 one rational solution\, i.e. the theory of elliptic curves\, is a central 
 area of study in modern number theory. The properties of specialization of
  families of elliptic curves\, called elliptic surfaces\, is an area of cu
 rrent research\, in part because specialization was used by Elkies to prod
 uce the current record for the highest known Mordell-Weil rank of an ellip
 tic curve over $\\mathbb Q$. In this talk\, we will discuss a brief histor
 y of and some recent developments in working effectively with specializati
 on maps\, and in particular determining when they are injective.\n
LOCATION:https://researchseminars.org/talk/POINT/46/
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