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Équations différentielles motiviques et au–delà

Motivic local systems

IHP - Bâtiment Borel
Salle Marie-Louise Dubreil-Jacotin

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 I will discuss a motivic version of Mellin's expansion for the
roots of a generic one-variable polynomial with fixed monomials. This leads to examples of explicit forms of the trace of Frobenius for
certain non-hypergeometric rigid local systems.