STNB2017(31è any)

The eigencurve: geometric construction.


Adel Betina


The aim of this talk is to give a gentle but fairly complete introduction to the Coleman-Mazur eigencurve. I will begin by recall the construction of V.Pilloni of the overconvergent modular sheave using coherent cohomology. After I will give a short introduction about the p-adic spectral theory of the Atkin operator $U_p$ and how we get the Coleman-Mazur eigencurve. I will finish this talk by giving some geometric properties of the Coleman-Mazur Eigencurve. References: [CM96], [Pil13]


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