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{\Large Department of Mathematics, BGU}

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{\Huge Algebraic Geometry and Number Theory}\\[0.2\baselineskip]

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\textbf{On} \emph{Wednesday, January 17, 2018}
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\textbf{At} \emph{15:10 -- 16:30}
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\textbf{In} \emph{Math -101}

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{\large\scshape Jyoti Prakash Saha 
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  (BGU)
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will talk about
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{\Large\bfseries Purity for big Galois representations\par}
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\textsc{Abstract:}
In 1980s, Hida constructed p-adic families of ordinary cusp forms. He showed that the Fourier expansions of the ordinary normalized Hecke eigen cusp forms can be p-adically interpolated. Moreover, their associated Galois representations can also be interpolated via a big Galois representation. The Galois representations associated to cusp forms are known to be pure. This suggests a notion of purity for big Galois representations. In this talk, we will discuss this notion and explain its role in the study of variation in p-adic families.








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