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SUMMARY:Alexander Smith (MIT)
DTSTART:20210219T230000Z
DTEND:20210220T000000Z
DTSTAMP:20260423T024729Z
UID:UCSBsga/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/12/"
 >Selmer groups and a Cassels-Tate pairing for finite Galois modules</a>\nb
 y Alexander Smith (MIT) as part of UCSB Seminar on Geometry and Arithmetic
 \n\n\nAbstract\nI will discuss some new results on the structure of Selmer
  groups of finite Galois modules over global fields. Tate's definition of 
 the Cassels-Tate pairing can be extended to a pairing on such Selmer group
 s with little adjustment\, and many of the fundamental properties of the C
 assels-Tate pairing can be reproved with new methods in this setting. I wi
 ll also give a general definition of the theta/Mumford group and relate it
  to the structure of the Cassels-Tate pairing\, generalizing work of Poone
 n and Stoll.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/12/
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