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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Featured Speaker : Daniel Kriz\n\nTitle : \n\nConstruction o
f Katz ppp-adic LLL-functions Abstract : \n\nWe will describe Katz's constr
uction of a ppp-adic measure on the p∞p^{\infty}p∞ ray class group of CM fi
elds\, whose Mellin transform is a ppp-adic LLL-function interpolating crit
ical values of Hecke LLL-functions. First\, we will recall some basics of m
easures and the construction of the ppp-adic modular form-valued Eisenstein
measure. Next\, we will obtain Katz's measure by evaluating the Eisenstein
measure at CM points. Finally\, we will recover the aforementioned interpo
lation via Katz's insight that the values of the ppp-adic and complex diffe
rential operators at CM points coincide\, which follows from the moduli-the
oretic definitions of these operators.\n\nalgebraic geometrynumber theory\n
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e/508646439
DTEND:20200513T150000Z
DTSTAMP:20241115T045152Z
DTSTART:20200513T140000Z
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SUMMARY:STAGE Seminar
UID:tag:localist.com\,2008:EventInstance_33486141030377
URL:https://calendar.mit.edu/event/stage_seminar_2110
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