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SUMMARY:Infinitesimal action on completed cohomology for GL_n over a CM fi
 eld [MPIM]
DTSTART:20260414T130500Z
DTEND:20260414T150500Z
DTSTAMP:20260417T222700Z
UID:indico-event-1207@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jelena Ivancic (MPIM/Universität Bonn)\n\nObersemin
 ar Arithmetic Geometry and Representation Theory\nI will talk about joint 
 work with Vaughan McDonald which confirms a conjecture of Dospinescu-Pa\\v
 {s}k\\={u}nas-Schraen (localised suitably) for reductive group $GL_n/F$ fo
 r $F$ a CM field containing an imaginary quadratic field where a fixed pri
 me $p$ splits.\nIn the first part of the talk\, I will recall some facts a
 bout completed cohomology of a reductive group $G$ and give a motivation (
 at least for me) for one to think there might be a relationship between:1.
   action of the centre of universal algebra $Z(g)$ of $G$ on locally anal
 ytic vectors of completed cohomology\, and2. Hodge--Tate--Sen weights of G
 alois representations attached to Hecke eigenspaces\nThen I will introduce
  the relevant constructions from Dospinescu-Pa\\v{s}k\\={u}nas-Schraen in 
 some detail\, state their conjecture on the relationship between 1) and 2)
 \, and state our theorem.\nIn the second part of the talk\, I will show th
 e proof strategy and highlight the most important ingredients.\n \n \n\n
 https://math-events.uni-bonn.de/event/1207/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1207/
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