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{\Large Department of Mathematics, BGU}

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{\Huge AGNT}\\[0.2\baselineskip]

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\textbf{On} \emph{Wednesday, December  3, 2025}
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\textbf{At} \emph{14:10 -- 15:10}
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\textbf{In} \emph{201}

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{\large\scshape Gal Porat 
  %
  (Weizmann )
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will talk about
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{\Large\bfseries Solid Locally Analytic Representations in Mixed Characteristic\par}
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\textsc{Abstract:}
Locally analytic representations of p-adic Lie groups with Q\_p coefficients are powerful tools in p-adic Hodge theory and the p-adic Langlands program. This perspective reveals important differential structures, such as the Sen and Casimir operators. A few years ago, Rodrigues Jacinto and Rodriguez Camargo developed a ``solid'' version of this theory using the language of condensed mathematics, which provides more robust homological tools (comparison theorems, spectral sequences\ldots{}) for studying these representations. This talk will present work that extends this solid theory to a much broader class of mixed characteristic coefficients, such as F\_p((X)) or Z\_p{[}{[}X{]}{]}\textless{}p/x\textgreater{}, as well as semilinear representations. I will conclude by exploring how these ideas relate to mixed characteristic phenomena in p-adic Hodge theory and the Langlands program.








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