BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lambert A'Campo (IHES)
DTSTART:20260708T070000Z
DTEND:20260708T083000Z
DTSTAMP:20260730T032031Z
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:20260730T032031Z
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\n\nAb
 stract\nThe parabolic induction functor for smooth representations admits 
 the Jacquet functor as a left adjoint. For complex representations it is a
  deep result of Bernstein\, called Second Adjointness\, that the Jacquet f
 unctor 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 repre
 sentations\, yet for mod p representations the story is a bit more intrica
 te. Due to recent work of Hoff–Meier–Spieß the (derived) right adjoin
 t of parabolic induction is now fairly well understood. \nIn this talk I w
 ill explain Second Adjointness for smooth mod p representations\, which is
  joint work with Manuel Hoff\, Sarah Meier and Michael Spieß.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Douglas Molin (Chalmers University of Technology)
DTSTART:20260722T070000Z
DTEND:20260722T083000Z
DTSTAMP:20260730T032031Z
UID:HCMCAlg/3
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/HCMCA
 lg/3/">Multiplicity-one for p-adic automorphic cohomology</a>\nby Douglas 
 Molin (Chalmers University of Technology) as part of KIAS HCMC Algebra Sem
 inar\n\n\nAbstract\nAutomorphic representations give rise to classes in th
 e p-adic cohomology of locally symmetric spaces. In the setting of GL_n ov
 er a CM field\, the contribution of a given representation is spread acros
 s several cohomological degrees. A conjecture of Venkatesh (together with 
 a relevant case of the Bloch--Kato conjecture) explains this phenomenon in
  a precise way in terms of the Galois representation attached to the autom
 orphic representation. In this talk\, I will introduce this conjecture and
  describe how it may be viewed as a multiplicity-one statement suggested b
 y a general conjecture within the Langlands program. Then\, I will present
  recent results establishing Venkatesh's conjecture under various technica
 l assumptions (and in the p-adic setting).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reinier Sorgdrager (Université Paris-Saclay)
DTSTART:20260729T070000Z
DTEND:20260729T083000Z
DTSTAMP:20260730T032031Z
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\n\nAbstract\nLet
  G be a p-adic Lie group. In this talk I will introduce the Gelfand-Kirill
 ov dimension of p-adic representations of G\, which is a non-commutative g
 eneralization 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 group r
 ing of G.\nThe ``Miracle Flatness'' observation Gee-Newton shows how knowl
 edge of this dimension can have strong structural consequences\, with pote
 ntial applications to completed cohomology and patching. I will discuss th
 e example of such an application found in the work of Breuil-Herzig-Hu-Mor
 ra-Schraen: as a consequence of their GK-dim computation they deduce the n
 on-vanishing of the candidates via patching for the p-adic Langlands corre
 spondence 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 v
 ectors 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 Dospine
 scu-Paškūnas-Schraen. \nIn my thesis I have generalized this result to f
 amilies of p-adic Banach representation with an infinitesimal character in
  families (in the sense of Dospinescu-Paškūnas-Schraen) and I will expla
 in how this leads to a generalization of the GK-dim computation and non-va
 nishing of candidates result of Breuil-Herzig-Hu-Morra-Schraen to GL_2K wh
 ere K now can have arbitrary ramification.\n
LOCATION:
END:VEVENT
END:VCALENDAR