Dear All, Below is the announcement of today's (October 20) seminar at Castelnuovo (Department of Mathematics, Sapienza University of Rome) in Aula B at 15:30. I hope you can join. Best regards, Antonio Agresti *Speaker: *Nicolas Clozeau (University of Toulon) *Title:** Effective conductivity in random media* *Abstract:* We are interested in computing the electric field generated by a neutral, localized charge distribution in a random medium, modeled by a linear elliptic equation in divergence form. First, I will present results in the homogenization regime, where the medium exhibits scale separation. I will then explain how ideas from homogenization theory can be used to address the case where no scale separation is present. Finally, I will discuss some interesting possible extensions to nonlinear settings. This talk is based on joint work with Felix Otto, Marc Josien, Qiang Xu, and Lihan Wang.