Tate-Shafarevich groups over anticyclotomic Z p extensions

1 hour 4 mins 2 secs,  883.63 MB,  MPEG-4 Video  480x360,  25.0 fps,  44100 Hz,  1.83 Mbits/sec
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Description: Ciperiani, M (Columbia)
Friday 31 July 2009, 11:30-12:30
 
Created: 2009-08-05 14:16
Collection: Non-Abelian Fundamental Groups in Arithmetic Geometry
Publisher: Isaac Newton Institute
Copyright: Ciperiani, M (Columbia)
Language: eng (English)
Credits:
Author:  Ciperiani, M (Columbia)
 
Abstract: Let E be an elliptic curve over Q with supersingular reduction at p and K an imaginary quadratic extension of Q. We analyze the structure of the p-primary part of the Tate-Shafarevich group of E over the anticyclotomic Z_p-extension K_\infty/K by viewing it as a module over Z_p[Gal(K_\infty/K)].
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