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SUMMARY:Lambert A'Campo (IHES)
DTSTART:20260708T070000Z
DTEND:20260708T083000Z
DTSTAMP:20260709T182519Z
UID:HCMCAlg/1
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/HCMCA
 lg/1/">Local-global compatibility at l=p for automorphic Galois representa
 tions over CM fields</a>\nby Lambert A'Campo (IHES) as part of KIAS HCMC A
 lgebra Seminar\n\n\nAbstract\nIn joint work with Hevesi\, Thorne and Whitm
 ore we prove that the Galois representations associated with cohomological
  cuspidal automorphic representations over CM fields are potentially semi-
 stable and compatible with the local Langlands correspondence\, up to semi
 simplification. The novelty of our work is that we make no assumptions on 
 residual Galois representation. Our method relies on a bound on the torsio
 n in the cohomology of certain Shimura varieties\, which can be seen as a 
 generalisation of the Caraiani-Scholze vanishing theorem.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudius Heyer (University of Paderborn)
DTSTART:20260715T070000Z
DTEND:20260715T083000Z
DTSTAMP:20260709T182519Z
UID:HCMCAlg/2
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/HCMCA
 lg/2/">On Second Adjointness for mod p Representations</a>\nby Claudius He
 yer (University of Paderborn) as part of KIAS HCMC Algebra Seminar\n\nInte
 ractive livestream: https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7
 AVhRZjKwQW6aXM8u7yORa.1\nPassword hint: Password is the size of GL_2(F_7).
 \n\nAbstract\nThe parabolic induction functor for smooth representations a
 dmits the Jacquet functor as a left adjoint. For complex representations i
 t is a deep result of Bernstein\, called Second Adjointness\, that the Jac
 quet functor for the opposite parabolic is (up to a twist) also right adjo
 int to parabolic induction. A similar result is also known for mod ℓ≠p
  representations\, yet for mod p representations the story is a bit more i
 ntricate. Due to recent work of Hoff–Meier–Spieß the (derived) right 
 adjoint of parabolic induction is now fairly well understood. \nIn this ta
 lk I will explain Second Adjointness for smooth mod p representations\, wh
 ich is joint work with Manuel Hoff\, Sarah Meier and Michael Spieß.\n
LOCATION:https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6
 aXM8u7yORa.1
URL:https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6aXM8u
 7yORa.1
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BEGIN:VEVENT
SUMMARY:Douglas Molin (Chalmers University of Technology)
DTSTART:20260722T070000Z
DTEND:20260722T083000Z
DTSTAMP:20260709T182519Z
UID:HCMCAlg/3
DESCRIPTION:by Douglas Molin (Chalmers University of Technology) as part o
 f KIAS HCMC Algebra Seminar\n\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/HCMCAlg/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reinier Sorgdrager (Université Paris-Saclay)
DTSTART:20260729T070000Z
DTEND:20260729T083000Z
DTSTAMP:20260709T182519Z
UID:HCMCAlg/4
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/HCMCA
 lg/4/">Gelfand-Kirillov bound for GL_2</a>\nby Reinier Sorgdrager (Univers
 ité Paris-Saclay) as part of KIAS HCMC Algebra Seminar\n\nInteractive liv
 estream: https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6
 aXM8u7yORa.1\nPassword hint: Password is the size of GL_2(F_7).\n\nAbstrac
 t\nLet G be a p-adic Lie group. In this talk I will introduce the Gelfand-
 Kirillov dimension of p-adic representations of G\, which is a non-commuta
 tive generalization of the Krull dimension in this setting. For this\, one
  uses Schneider-Teitelbaum's duality theory which allows one to think of p
 -adic Banach representations of G as (duals of) modules over a completed g
 roup ring of G.\nThe ``Miracle Flatness'' observation Gee-Newton shows how
  knowledge of this dimension can have strong structural consequences\, wit
 h potential applications to completed cohomology and patching. I will disc
 uss the example of such an application found in the work of Breuil-Herzig-
 Hu-Morra-Schraen: as a consequence of their GK-dim computation they deduce
  the non-vanishing of the candidates via patching for the p-adic Langlands
  correspondence for GL_2 of an unramified p-adic field.\nI will then discu
 ss the following result (arXiv:2602.08856): let p>2 and K be a p-adic fiel
 d\; an admissible p-adic Banach representation of GL_2K whose locally anal
 ytic vectors admit an infinitesimal character has GK-dimension at most [K:
 Q_p]. This bound is optimal and improves the previous bound <2[K:Q_p] of D
 ospinescu-Paškūnas-Schraen. \nIn my thesis I have generalized this resul
 t to families of p-adic Banach representation with an infinitesimal charac
 ter in families (in the sense of Dospinescu-Paškūnas-Schraen) and I will
  explain how this leads to a generalization of the GK-dim computation and 
 non-vanishing of candidates result of Breuil-Herzig-Hu-Morra-Schraen to GL
 _2K where K now can have arbitrary ramification.\n
LOCATION:https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6
 aXM8u7yORa.1
URL:https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6aXM8u
 7yORa.1
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