Record: YesLevel: GraduateLanguage: EnglishPrerequisiteIt is desirable that the audience is familiar with Modern Probability Theory and some tools in Stochastic Analysis such as martingales and stochastic differential equations. But I will try to briefly explain these in my course. For example, Parts I and II of my course given at Yau Mathematical Sciences Center from March to June, 2022 fit to...
AbstractIt would be useful to deal with complex geometry when examining quantum gravity as in the case of no-boundary proposal by Hartle and Hawking. However, there would be too many saddles for complexified gravity, and it is necessary to determine which are allowable geometries in the sense of Witten. We consider three-ddimensional gravity theory with positive consmological constant described...