period

Tags
- #arithmetic-geometry/p-adic-hodge-theory
Refs:
- https://home.mathematik.uni-freiburg.de/arithgeom/preprints/friedrich-periods.pdf
- Colmez-Fontaine, Construction des reprsentations p-adiques semistables
Links:
- p-adic Hodge theory
- Algebraic de Rham
- Hodge-Tate conjecture
- period ring

period

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Motivations

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See Fontaine-Mazur conjecture. attachments/Pasted%20image%2020220318192414.png

Related to alteration, potentially semistable reduction. attachments/Pasted%20image%2020220410155447.png

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Examples

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Periods

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In comparisons

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Links to this page

p-adic Hodge theory

period ring
etale comparison theorem

period ring
crystalline cohomology

period ring
Hodge theory

- Tags: - #MOC - Refs: - REU project: http://math.uchicago.edu/~may/REU2018/REUPapers/Sheagren.pdf#page=1 - More detailed notes: https://scholar.harvard.edu/files/pspark/files/harvardminorthesis.pdf#page=3 - Links: - Hodge decomposition - Hodge symmetry - Hodge weight - Hodge filtration - Hodge diamond - elliptic operator - VHS - Unsorted/Hodge-Tate theory - tangent bundle - Sobolev space - examples of computations of Hodge numbers - period
Beuzart-Plessis, On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups

See cusp forms, period, trace formulas

#arithmetic-geometry/p-adic-hodge-theory