# Questions tagged [moduli-spaces]

Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.

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### What is the analogy between the moduli of shtukas and Shimura varieties?

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### The moduli scheme of “$\nu$-canonically embeded curves”

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### The moduli scheme of smooth curves of given genus is irreducible

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### Level structures in deformation spaces of $p$-divisible groups

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### Torsor descriptions of $Bun_G$

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### Complexifed Gauge action on determinant line bundle and change of metric

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### Objects with trivial automorphism group

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### Applications of derived categories to “Traditional Algebraic Geometry”

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### lemma II.2.4 in Harris-Taylor (about drinfeld-katz-mazur level structure on 1-dimensional $p$-divisible groups)

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### Motivation for using etale topology in representability of functors problems

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### Mapping Class Group and Triangulations

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### Moduli space of flat connections of Lie group over a 2-torus

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### Moduli space of curves

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### SL(2,R) invariant which are not SL(2,C) invariants

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