BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Zhixiang Wu (Université Paris-Saclay)
DTSTART:20210407T070000Z
DTEND:20210407T080000Z
DTSTAMP:20260423T024023Z
UID:POINTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/19/">
 Companion forms and partially classical eigenvarieties</a>\nby Zhixiang Wu
  (Université Paris-Saclay) as part of POINTS - Peking Online Internationa
 l Number Theory Seminar\n\n\nAbstract\nIn general\, there exist $p$-adic a
 utomorphic forms of different weights with the same associated $p$-adic Ga
 lois representation. The existence of these companion forms is also predic
 ted by Breuil's locally analytic socle conjecture in the $p$-adic local La
 nglands program. Under the Taylor-Wiles assumption\, Breuil-Hellmann-Schra
 en proved the existence of all companion forms when the associated crystal
 line Galois representations have regular Hodge-Tate weights. In this talk\
 , I will explain how to generalize their results to some cases when the Ho
 dge-Tate weights are not necessarily regular. The method relies on Ding's 
 construction of partially classical eigenvarieties and their relationships
  with some spaces of Galois representations.\n\nZoom ID: 648 9548 7663\n\n
 Zoom password: 525224\n
LOCATION:https://researchseminars.org/talk/POINTS/19/
END:VEVENT
END:VCALENDAR