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SUMMARY:Lambert A'Campo (IHES)
DTSTART:20260708T070000Z
DTEND:20260708T083000Z
DTSTAMP:20260712T210947Z
UID:HCMCAlg/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HCMCAlg/1/">
 Local-global compatibility at l=p for automorphic Galois representations o
 ver CM fields</a>\nby Lambert A'Campo (IHES) as part of KIAS HCMC Algebra 
 Seminar\n\n\nAbstract\nIn joint work with Hevesi\, Thorne and Whitmore we 
 prove that the Galois representations associated with cohomological cuspid
 al automorphic representations over CM fields are potentially semi-stable 
 and compatible with the local Langlands correspondence\, up to semisimplif
 ication. The novelty of our work is that we make no assumptions on residua
 l Galois representation. Our method relies on a bound on the torsion in th
 e cohomology of certain Shimura varieties\, which can be seen as a general
 isation of the Caraiani-Scholze vanishing theorem.\n
LOCATION:https://researchseminars.org/talk/HCMCAlg/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudius Heyer (University of Paderborn)
DTSTART:20260715T070000Z
DTEND:20260715T083000Z
DTSTAMP:20260712T210947Z
UID:HCMCAlg/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HCMCAlg/2/">
 On Second Adjointness for mod p Representations</a>\nby Claudius Heyer (Un
 iversity of Paderborn) as part of KIAS HCMC Algebra Seminar\n\nInteractive
  livestream: https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjK
 wQW6aXM8u7yORa.1\nPassword hint: Password is the size of GL_2(F_7).\n\nAbs
 tract\nThe parabolic induction functor for smooth representations admits t
 he Jacquet functor as a left adjoint. For complex representations it is a 
 deep result of Bernstein\, called Second Adjointness\, that the Jacquet fu
 nctor for the opposite parabolic is (up to a twist) also right adjoint to 
 parabolic induction. A similar result is also known for mod ℓ≠p repres
 entations\, yet for mod p representations the story is a bit more intricat
 e. Due to recent work of Hoff–Meier–Spieß the (derived) right adjoint
  of parabolic induction is now fairly well understood. \nIn this talk I wi
 ll explain Second Adjointness for smooth mod p representations\, which is 
 joint work with Manuel Hoff\, Sarah Meier and Michael Spieß.\n
LOCATION:https://researchseminars.org/talk/HCMCAlg/2/
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:20260712T210947Z
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://researchseminars.org/talk/HCMCAlg/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reinier Sorgdrager (Université Paris-Saclay)
DTSTART:20260729T070000Z
DTEND:20260729T083000Z
DTSTAMP:20260712T210947Z
UID:HCMCAlg/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HCMCAlg/4/">
 Gelfand-Kirillov bound for GL_2</a>\nby Reinier Sorgdrager (Université Pa
 ris-Saclay) as part of KIAS HCMC Algebra Seminar\n\nInteractive livestream
 : https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6aXM8u7y
 ORa.1\nPassword hint: Password is the size of GL_2(F_7).\n\nAbstract\nLet 
 G be a p-adic Lie group. In this talk I will introduce the Gelfand-Kirillo
 v dimension of p-adic representations of G\, which is a non-commutative ge
 neralization of the Krull dimension in this setting. For this\, one uses S
 chneider-Teitelbaum's duality theory which allows one to think of p-adic B
 anach representations of G as (duals of) modules over a completed group ri
 ng of G.\nThe ``Miracle Flatness'' observation Gee-Newton shows how knowle
 dge of this dimension can have strong structural consequences\, with poten
 tial applications to completed cohomology and patching. I will discuss the
  example of such an application found in the work of Breuil-Herzig-Hu-Morr
 a-Schraen: as a consequence of their GK-dim computation they deduce the no
 n-vanishing of the candidates via patching for the p-adic Langlands corres
 pondence for GL_2 of an unramified p-adic field.\nI will then discuss the 
 following result (arXiv:2602.08856): let p>2 and K be a p-adic field\; an 
 admissible p-adic Banach representation of GL_2K whose locally analytic ve
 ctors admit an infinitesimal character has GK-dimension at most [K:Q_p]. T
 his bound is optimal and improves the previous bound <2[K:Q_p] of Dospines
 cu-Paškūnas-Schraen. \nIn my thesis I have generalized this result to fa
 milies of p-adic Banach representation with an infinitesimal character in 
 families (in the sense of Dospinescu-Paškūnas-Schraen) and I will explai
 n how this leads to a generalization of the GK-dim computation and non-van
 ishing of candidates result of Breuil-Herzig-Hu-Morra-Schraen to GL_2K whe
 re K now can have arbitrary ramification.\n
LOCATION:https://researchseminars.org/talk/HCMCAlg/4/
URL:https://kias-re-kr.zoom.us/j/86995427727?pwd=9ZJzMvmF7AVhRZjKwQW6aXM8u
 7yORa.1
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