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9 votes
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973 views

Geometrization of the global Langlands correspondence?

Fargues-Scholze famously describe arithmetic local Langlands via global geometric Langlands on the Fargues-Fontaine (FF) curve. The FF curve acts like an algebraic curve over $\mathbb{C}_p$ (its ...
David Corwin's user avatar
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3 votes
0 answers
280 views

The closed unit adic disk

I am reading the Scholze-Weinstein Berkeley lecture notes on "Perfectoid Spaces", and in particular I am stuck trying to understand the closed adic unit disk, which is the second example of ...
kindasorta's user avatar
  • 2,907
8 votes
1 answer
2k views

Some questions from the paper by Scholze-Weinstein

The following is from the paper by Scholze-Weinstein on moduli of $p$ divisible groups. My question is from a part of Lemma 4.1.7: If $R$ is a semiperfect ring, then the canonical map $W(R^{\flat}) \...
Ashutosh RC's user avatar