Hot Neutron and Quark Star Evolution
  The physics of compact objects is one of the very actively developing branches of theoretical investigations, since the careful analysis of different models for the internal structure of these objects, their evolutionary characteristics and the comparison with modern observational data give access to discriminate among various speculations about the state of matter under extreme conditions.   The lecture provides an overview to the problem of neutron star cooling evolution. We discuss the scheme and necessary inputs for neutron star cooling simulations from the background of a microscopic modeling in order to present the surface temperature - age characteristics of hybrid neutron stars including the determination of main regulators of the cooling process, the question of neutrino production and diffusion. 
Hovik Grigorian (U. Rostock, U. Yerevan)