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SUMMARY:Marta Sánchez Pavón (Universidad de Sevilla)
DTSTART:20210421T100000Z
DTEND:20210421T110000Z
DTSTAMP:20260423T004550Z
UID:SIMBa/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/9/">En
 tering the tower with Iwasawa theory</a>\nby Marta Sánchez Pavón (Univer
 sidad de Sevilla) as part of Barcelona Mathematics Informal Seminar (SIMBa
 )\n\n\nAbstract\nProving Fermat Last Theorem has been one of the most famo
 us math-ematical challenges during the last years.  Most importantly\, it 
 servedas a key starting point for developing deep theories in arithmetic g
 e-ometry\; and Iwasawa theory has been one of such.  The fundamentalidea  
 of  Iwasawa  theory  is  studying  the  growth  of  arithmetic  objects(su
 ch  as  the  ideal  class  group  of  number  fields  or  Selmer  groups  
 ofelliptic curves and abelian varieties) in an infinite tower ofp-adic ex-
 tensions.  Furthermore\, much of the recent progress in the Birch andSwinn
 erton-Dyer conjecture is due to these methods.  In this talk\, wepresent a
  brief introduction to Iwasawa theory with an eye on ellipticcurves.\n
LOCATION:https://researchseminars.org/talk/SIMBa/9/
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