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SUMMARY:Kazim Buyukboduk (UC Dublin)
DTSTART:20220120T173000Z
DTEND:20220120T183000Z
DTSTAMP:20260423T024727Z
UID:UCSBsga/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/31/"
 >Arithmetic of $\\theta$-critical p-adic L-functions</a>\nby Kazim Buyukbo
 duk (UC Dublin) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAb
 stract\nIn joint work with Denis Benois\, we give an étale construction o
 f Bellaïche's p-adic L-functions about $\\theta$-critical points on the C
 oleman–Mazur eigencurve. I will discuss applications of this constructio
 n towards leading term formulae in terms of p-adic regulators on what we c
 all the thick Selmer groups\, which come attached to the infinitesimal def
 ormation at the said \\theta-critical point along the eigencurve\, and an 
 exotic ($\\Lambda$-adic) $\\mathcal{L}$-invariant. Besides our interpolati
 on of the Beilinson–Kato elements about this point\, the key input to pr
 ove the interpolative properties of this p-adic L-function is a new p-adic
  Hodge-theoretic "eigenspace-transition via differentiation" principle.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/31/
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