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SUMMARY:Anwesh Ray (University of British Columbia)
DTSTART:20210729T163000Z
DTEND:20210729T173000Z
DTSTAMP:20260424T095422Z
UID:SFUQNTAG/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/37/
 ">Arithmetic statistics and the Iwasawa theory of elliptic curves</a>\nby 
 Anwesh Ray (University of British Columbia) as part of SFU NT-AG seminar\n
 \n\nAbstract\nAn elliptic curve defined over the rationals gives rise to a
  \ncompatible system of Galois representations. The Iwasawa invariants \na
 ssociated to these representations epitomize their arithmetic and Iwasawa 
 \ntheoretic properties. The study of these invariants is the subject of mu
 ch \nconjecture and contemplation. For instance\, according to a long-stan
 ding \nconjecture of R. Greenberg\, the Iwasawa "mu-invariant" must vanish
 \, subject \nto mild hypothesis. Overall\, there is a subtle relationship 
 between the \nbehavior of these invariants and the p-adic Birch and Swinne
 rton-Dyer \nformula. We study the behaviour of these invariants on average
 \, where \nelliptic curves over the rationals are ordered according to hei
 ght. I will \ndiscuss some recent results (joint with Debanjana Kundu) in 
 which we set \nout new directions in arithmetic statistics and Iwasawa the
 ory.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/37/
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