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SUMMARY:Christopher Skinner (Princeton University)
DTSTART:20240605T120000Z
DTEND:20240605T130000Z
DTSTAMP:20260418T070003Z
UID:LNTS/136
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/136/">A
 nticyclotomic Euler systems for Conjugate-dual Galois representations</a>\
 nby Christopher Skinner (Princeton University) as part of London number th
 eory seminar\n\nLecture held in K0.18\, King's Building\, Strand Campus\, 
 King's College London.\n\nAbstract\nI will explain a definition of Euler s
 ystems for anticyclotomic extensions of a CM extension K/F. This allows on
 e to prove analogs of Kolyvagin's famous results for Heegner points (rank 
 one\, finiteness of Tate-Shafarevich groups) for a very general class of G
 alois representations over CM fields. A novel feature of this approach is 
 to focus on primes that split in K/F (as opposed to Kolyvagin's inert prim
 es).  I will also describe some of the many examples of such Euler systems
  that have been constructed recently. This is joint work with Dimitar Jetc
 hev and was begun in collaboration with Jan Nekovar.\n
LOCATION:https://researchseminars.org/talk/LNTS/136/
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