Mathematics Colloquia and Seminars

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For the Feyman path integral formulation of quantum mechanics, the amplitude of a free particle can be calculated by integrals over space of paths. To quantize the gravity, it is very natural to define the partition function of a string by functional integrals over some moduli spaces and such an ideas leads to the study of moduli spaces. Moreover, these moduli spaces can be embedded into an infinite dimensional Banach manifolds, called Sato-Grassmannian which leads to a conjecture that the nonperturbative string theory can be formulated in terms of Sato-Grassmannian. In this talk, I will define Sato-Grassmannian and talk about some topology of it.