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Geometrization of continuous characters of $\mathbb{Z}_p^\times$
Geometrization Kummer local systems
2011/1/17
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...
On the geometrization of a lemma of differential Galois theory
di erential Galois theory di erential algebra simple rings
2011/1/17
In this paper, we give a geometrization and a generaliza-tion of a lemma of di erential Galois theory. This geometrization, in addition of giving a nice insight on this result, o ers us the occasion t...
Geometrization of principal series representations of GL_N associated to regular characters
Geometrization principal series representations
2010/11/23
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...
Geometrization of postcritically finite branched coverings
Geometrization postcritically finite branched coverings
2010/11/15
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurst...