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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, June 29, 2022}
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\textbf{At} \emph{16:00 -- 17:00}
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\textbf{In} \emph{-101}

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{\large\scshape Ishai Dan-Cohen 
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  (BGU)
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will talk about
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{\Large\bfseries \emph{p}-Adic periods and Selmer scheme images\par}
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\textsc{Abstract:}
The category of mixed Tate motives over an open integer ring or a number field possesses a notion of \emph{p}-adic period which diverges somewhat from the complex paradigm: rather than comparing two different fiber functors, it compares two different structures both associated with the same cohomology theory. At first glance, it appears to be a peculiarity of the mixed Tate setting. Yet it plays a central role in the microcosm of mixed Tate Chabauty-Kim. It also connects the study of \emph{p}-adic iterated integrals with Goncharov's theory of \emph{motivic} iterated integrals, and allows us to investigate Goncharov's conjectures from a \emph{p}-adic point of view. Lastly, it forms the basis for the so-called \emph{p}-adic period conjecture. I'll report on our ongoing work devoted to the construction of \emph{p}-adic periods beyond the mixed Tate setting, and discuss the possibility of generalizing all aspects of this picture. This is joint work with David Corwin.








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