Workshops

Geometric overconvergent modular forms

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Vincent Pilloni

2010-07-15
14:00:00 - 15:20:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)



We give a geometric construction of overconvergent modular forms of any p-adic weight. This construction works over any PEL Shimura variety where the ordinary locus is dense in the special fiber (modular curves, Hilbert and Siegel varieties...). We obtain finite slope families of eigenforms over the total weight space. This has interesting applications. This is a joint work with F. Andreatta and A. Iovita.