The aim of this thesis is to develop a constructive conformal field theory of Gaussian free field in a doubly connected domain and its implementations to the theory of annulus Schramm-Loewner evolution (SLE). In particular, we derive certain types of BPZ equations based on Eguchi-Ooguri`s version of Ward`s equations, which describe the Virasoro fields in terms of the Lie derivative operators and the Teichmüller modular parameter. As applications, we find Coulomb gas solutions to the null-vector equations for annulus SLE partition functions and construct a large class of martingale-observables for variants of annulus SLE processes. 발표시간: 11월 25일 수요일 11:00-12:00 Topic: CFT and SLE in a doubly connected domain Time: Nov 25, 2020 11:00 AM Seoul Join Zoom Meeting https://us02web.zoom.us/j/82580310425?pwd=dXZEMFBWM216Y3hUVmt1WUM4aDE2dz09 Meeting ID: 825 8031 0425 Passcode: 1308