Mathematics Colloquia and Seminars

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It is well known that the moduli spaces of algebraic curves can be embedded into infinite-dimensional Grassmannian by means of Krichever construction. The theta-functions corresponding to algebraic curves are related to tau-functions on Grassmannian. I will explain these notions and results; I will show that similar (even simpler) results are true for super Grassmannian and supercurves. These results can be used to calculate the measure on moduli space coming from superstring ( super Mumford form). However, I'll have no time to explain these calculations. The talk is based on my old papers and on a new paper (in preparation).