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Geometrization of continuous characters of $\mathbb{Z}_p^\times$
Geometrization Kummer local systems
2010/12/31
We define the p-adic trace of certain Kummer local systems on the multiplicative group over p-adic numbers, using nearby cycles. For every nonnegative integer n, we prove that the p-adic trace defines...
Geometrization of principal series representations of GL_N associated to regular characters
Geometrization principal series representations
2010/11/19
In geometric representation theory, one often wishes to describe representations realized on spaces of invariant functions as trace functions of equivariant perverse sheaves. In the case of principal...