On the dynamical Teichm\"uller space
  We prove that the dynamical Teichm\"uller space of a rational map immerses into the space of rational maps of the same degree, answering a question of McMullen and Sullivan. This is achieved through a new description of the tangent and cotangent space to the dynamical Teichm\"uller space. 
Matthieu Astorg (IMT)
math.DS