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SUMMARY:Florian Sprung
DTSTART:20200706T180000Z
DTEND:20200706T190000Z
DTSTAMP:20260423T021223Z
UID:UNYONTC/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/3/">
 Subleading terms of L-functions of elliptic curves</a>\nby Florian Sprung 
 as part of Upstate New York Online Number Theory Colloquium\n\n\nAbstract\
 nThe leading term of the L-function of an elliptic curve encodes\nsome of 
 its arithmetic via BSD. What about the subleading term? Wuthrich\nproved t
 hat this subleading term is related to the leading one as a\nconsequence o
 f the functional equation. Bianchi gave a p-adic analogue of\nthis result\
 , and also found another consequence of the functional equation\nconcernin
 g Iwasawa's mu-invariant\, assuming p is ordinary. This talk\npresents joi
 nt work with C. Dion\, in which we extend the results of\nBianchi/Wuthrich
  in various directions: First\, we discuss what happens in\nthe supersingu
 lar (not ordinary) case. In this case\, there is a pair of\namenable funct
 ions\, for which we prove Bianchi's/Wuthrich's ideas can be\napplied. Sinc
 e we now have a pair of functions\, we can do something new: We\ncan relat
 e their orders of vanishing to each other. If there is time\, we\nalso hop
 e to discuss a result concerning lambda-invariants (for which p can\nbe or
 dinary or supersingular).\n
LOCATION:https://researchseminars.org/talk/UNYONTC/3/
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