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UID:8688@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250603T140000
DTEND;TZID=Europe/Paris:20250603T150000
DTSTAMP:20250528T120836Z
URL:https://www.i2m.univ-amu.fr/evenements/anticyclotomic-iwasawa-main-con
 jecture-for-rankin-selberg-motives/
SUMMARY:Yichao Tian (Morningside Center of Mathematics): Anticyclotomic Iwa
 sawa Main Conjecture for Rankin—Selberg motives
DESCRIPTION:Yichao Tian:  Let M be the Rankin—Selberg motive arising fro
 m a pair of regular algebraic conjugate self-dual cuspidal automorphic r
 epresentations of minimal weight on GL_n and GL_{n+1} over a CM number f
 ield F. Let F_{\\infty}/F be an anti-cyclotomic Z_p^d-extension such 
 that M is good ordinary at all p-adic primes ramified in F_{\\infty}. In
  this talk\, I will explain that under some technical assumptions\, the 
 characteristic ideal of the Bloch—Kato Iwasawa Selmer module for M a
 long F_{\\infty}/F contains the corresponding p-adic L-function\, construc
 ted previously by Yifeng Liu. A key step in the proof  is to construct a
  version of bipartite Euler system for such Rankin—Selberg motives usi
 ng the geometry of unitary Shimura varieties. This is a joint work wit
 h Yifeng Liu and Liang Xiao. 
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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