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SUMMARY:p-adic L-functions via higher Hida theory - David Loeffler
DTSTART:20191203T143000Z
DTEND:20191203T153000Z
UID:TALK130048@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:I will recall the construction of a p-adic L-function associat
 ed to a modular form\, interpolating the critical values of the L-function
  of the form and its twists. There are many ways to construct such p-adic 
 L-functions\, but I will focus on one particular approach based on Hida's 
 theory of p-adic families of modular forms: this is particularly important
  due to its relation to Kato's Euler system. I will then explain a corresp
 onding picture for genus 2 Siegel modular forms\, which is joint work with
  Pilloni\, Skinner\, and Zerbes: we construct a p-adic L-function for Sieg
 el modular forms using Pilloni's "higher Hida theory". 
LOCATION:MR13
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