AbstractEarthquakes are natural generalisations of Fenchel-Nielsen twists deformations on Teichmueller space, and Thurston’s remarkable earthquake theorem asserts that any hyperbolic metric on a given closed surface can be deformed to any other by a unique (left) earthquake. This was famously employed by Kerckhoff in his proof of the Nielsen realisation problem, which quickly cemented their im...
AbstractTwo-dimensional conformal field theoriesplay an important role in modern theoretical physics. Among them, rational CFTs enjoy particularly nice properties and hence are amenable to a possible classification. In this talk, I will review some recent progress towards classifying Rational CFTs with fermions using the holomorphic modular bootstrap method, which is related to but different fr...