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UID:8730@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250916T140000
DTEND;TZID=Europe/Paris:20250916T150000
DTSTAMP:20250910T074700Z
URL:https://www.i2m.univ-amu.fr/evenements/wall-crossing-ggp-and-artin-for
 malism/
SUMMARY:Kazim Buyukboduk (University College Dublin): Wall-crossing\, GGP\,
  and Artin Formalism
DESCRIPTION:Kazim Buyukboduk: The celebrated BDP formula evaluates Rankin
 –Selberg p-adic L-functions at points outside their interpolation range 
 in terms of Generalised Heegner cycles (a phenomenon referred to as wall-
 crossing). This principle has been extended to triple products by Bertolin
 i–Seveso–Venerucci and Darmon–Rotger\, who relate values of Hsieh’
 s unbalanced p-adic L-functions on the balanced range to diagonal cycles. 
 I will report on a result where wall-crossing is used to factor a triple
  product p-adic L-function with an empty interpolation range\, to yield a 
 p-adic Artin formalism for families of the form f × g × g. The key input
  is the arithmetic Gan–Gross–Prasad (Gross–Kudla) conjecture\, linki
 ng central derivatives of (complex) triple product L-functions to Bloch–
 Beilinson heights of diagonal cycles and their comparison with their GL(2)
  counterpart (Gross–Zagier formulae). I will also discuss an extension t
 o families on GSp(4) × GL(2) × GL(2)\, where a new double wall-crossing
  phenomenon arises and is required to explain a p-adic Artin formalism fo
 r families of the form F x g x g. This suggests a higher p-adic GGP formul
 a concerning second-order derivatives.
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
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 e de Séminaire 304-306 (3ème étage):geo:0,0
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DTSTART:20250330T030000
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