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Results tagged with nt.number-theory
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user 65846
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
0
answers
96
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How to detect if an element in a completed group algebra is a unit?
Completed group algebras appear in Iwasawa theory and in many situations you want to know if an element is a unit. For example consider $K_n=\mathbb{Q}(\mu_{p^n})$ and $G=\varprojlim \mathrm{Gal}(K_n/ …
- 1,093
3
votes
0
answers
104
views
Computing the derived $I$ invariants $D(G\operatorname{Rep})\to D((G/I)\operatorname{Rep})$
In Scholze's paper The Langlands–Kottwitz approach for the modular curve (published version) about $\operatorname{GL}_2$ when he wants to find the relation between the semisimple trace and the usual t …
- 1,093
6
votes
0
answers
242
views
Computing Hodge numbers by point counting
In the lecture note of Bhatt from Arizona winter school 2017, there is an exercise which claims if X is a proper smooth scheme defined over $\mathbb{Z}[1/N]$ and if there is a polynomial $P$ such that …
- 1,093