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Number Theory Seminar

Thursday, February 22, 2024
4:00pm to 5:00pm
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Linde Hall 387
Anticyclotomic Euler systems for Conjugate-dual Galois representations
Christopher Skinner, Department of Mathematics, Princeton University,

I will explain a definition of Euler systems for anticyclotomic extensions of a CM extension K/F. This allows one to prove analogs of Kolyvagin's famous results for Heegner points (rank one, finiteness of Tate-Shafarevich groups) for a very general class of Galois 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 primes). I will also describe some of the many examples of such Euler systems that have been constructed recently. This is joint work with Dimitar Jetchev and was begun in collaboration with Jan Nekovar.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].