Speaker: Sylvia Serfaty Title: Dipole, multipoles and KT transition in the two-component plasma Abstract: In joint work with Jeanne Boursier, we study the two-component plasma, which is a system of N positive and N negative particles interacting via the Coulomb energy in the plane, at inverse temperature \beta. As $\beta$ passes the value 2, the system transitions from a system of free charges to a system of bound dipoles. Moreover, as $\beta$ passes a sequence of thresholds at $4-2/p$, $p$ integer, one expects to observe a fraction of $p$-poles appear, until $\beta $ reaches 4, which is the critical temperature for the Kosterlitz-Thouless transition. By using cluster expansion techniques, we prove free energy expansions and a large deviations principle that confirm this scenario and make it precise.