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SUMMARY:Daniel Kriz (Massachusetts Institute of Technology)
DTSTART:20200513T140000Z
DTEND:20200513T153000Z
DTSTAMP:20260422T220135Z
UID:STAGE/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/6/">Co
 nstruction of Katz $p$-adic $L$-functions</a>\nby Daniel Kriz (Massachuset
 ts Institute of Technology) as part of STAGE\n\n\nAbstract\nWe will descri
 be Katz's construction of a $p$-adic measure on the $p^{\\infty}$ ray clas
 s group of CM fields\, whose Mellin transform is a $p$-adic $L$-function i
 nterpolating critical values of Hecke $L$-functions. First\, we will recal
 l some basics of measures and the construction of the $p$-adic modular for
 m-valued Eisenstein measure. Next\, we will obtain Katz's measure by evalu
 ating the Eisenstein measure at CM points. Finally\, we will recover the a
 forementioned interpolation via Katz's insight that the values of the $p$-
 adic and complex differential operators at CM points coincide\, which foll
 ows from the moduli-theoretic definitions of these operators.\n
LOCATION:https://researchseminars.org/talk/STAGE/6/
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