On the $\Gamma$-factors of motives. II
Doc. Math., J. DMV 6, 67-95 (2001)
Summary: Using an idea of C. Simpson we describe Serre's local $\Gamma$-factors in terms of a complex of sheaves on a simple dynamical system. This geometrizes our earlier construction of the $\Gamma$-factors. Relations of this approach with the $\varepsilon$-factors are also studied.
Mathematics Subject Classification
11G40, 14Fxx, 14G10, 14G40
$\Gamma$-factors, motives, non-abelian Hodge theory, $\varepsilon$-factors, explicit formulas, Rees bundle, dynamical systems