BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Iwasawa theory and Bloch-Kato conjecture for modular forms
DTSTART;VALUE=DATE-TIME:20171108T090000Z
DTEND;VALUE=DATE-TIME:20171108T100000Z
DTSTAMP;VALUE=DATE-TIME:20210411T123753Z
UID:indico-event-2891@indico.math.cnrs.fr
DESCRIPTION:ATTENTION : Horaire d'hiver\n\n \n\nBloch and Kato formulated
conjectures relating sizes of p-adic Selmer groups with special values of
L-functions. Iwasawa theory is a useful tool for studying these conjectur
es and BSD conjecture for elliptic curves. For example the Iwasawa main co
njecture for modular forms formulated by Kato implies the Tamagawa number
formula for modular forms of analytic rank 0. \nIn this talk I'll first b
riefly review the above theory. Then we will focus on a different Iwasawa
theory approach for this problem. The starting point is a recent joint wor
k with Jetchev and Skinner proving the BSD formula for elliptic curves of
analytic rank 1. We will discuss how such results are generalized to modul
ar forms. If time allowed we may also explain the possibility to use it to
deduce Bloch-Kato conjectures in both analytic rank 0 and 1 cases. In cer
tain aspects such approach should be more powerful than classical Iwasawa
theory\, and has some potential to attack cases with bad ramification at p
.\n\nhttps://indico.math.cnrs.fr/event/2891/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/2891/
END:VEVENT
END:VCALENDAR