Math.AG: Algebraic Geometry
Arithmetic L-functions and their Sato-Tate distributions
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The Hilbert scheme of infinite affine space
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Abstract:
I will discuss the Hilbert scheme of d points in affine n-space, with some examples. This space has many irreducible components for n at least 3 and is poorly understood. Nonetheless, in the limit where n goes to infinity, we show that the Hilbert scheme of d points in infinite affine space has a very simple homotopy type.
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Computing Sato-Tate and monodromy groups
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Effective Sato-Tate and applications
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