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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

2 votes
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Inverse Limits in the category of Perfectoid Spaces

As mentioned by Scholze in this lecture (around 40:00; uniform Tate rings are called "spectral rings" in the lecture), given a directed system of maps of uniform Tate-Huber pairs $(R_i,R_i^+) \to (S,S …
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4 votes
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Locally analytic distribution algebra is a Frechet-Stein algebra

The basic idea is that any compact open $H$ contains good open subgroup $H'$. (This is essentially just by taking any sufficiently small neighborhood of the origin in the Lie algebra and applying the …
dgulotta's user avatar
  • 913