===  Rafael Granero-Belinchon === 

== On the Keller-Segel model with fractional dissipation. ==

In this talk we will review some results regarding the parabolic-elliptic and parabolic-parabolic Keller-Segel system with diffusion given by a fractional power of the Laplacian. In particular, we will focus on the dychotomy
"finite time blow up vs. global existence of solution".