IntroductionLast semester, we talk about the basic theory of isomonodromic deformations of Fuchsian systems. In this semester, we will continue this topic and present the Isomonodromy/CFT correspondence. In the first part, we will discuss the rank 2 case, the Painleve/CFT correpondence, where the generic Painleve VI tau function can be interpreted as 4-point correlator of primary fields of arbi...
AbstractThe tunneling effect predicted by B.Josephson (Nobel Prize, 1973) concerns the Josephsoniunction: two superconductors separated by a arrow dielectric. lt states existence of a supercurrentthrough it and equations governing it. The overdamped Josephson junction is modeled by a familyof diferential equations on 2-torus depending on 3 parameters: B (abscissa),A (ordinate), w(frequency). We...