Opened 3 years ago
Last modified 3 months ago
#23952 new enhancement
Improvements to hypergeometric motives
Reported by: | kedlaya | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-9.3 |
Component: | algebraic geometry | Keywords: | hypergeometric motives |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
In the wake of #23671, a meta-ticket to record some proposed improvements to hypergeometric motives. Please add suggestions to this list, and make individual tickets for individual changes.
- Euler factors at tame primes. These are implemented in Magma and involve Jacobi motives (#29040).
- Euler factors at wild primes. This is rather complicated.
- Good Euler factors for parameter in a number field.
- Optimizations to speed up
padic_H_value
. Some occur at #24433 (cache coefficients of the Dwork exponential series) and #28458 (eliminate redundant Gauss sum calls). - Recode the computation of Gauss sums and/or the hypergeometric trace formula in Cython. (See #28902, #29893.)
- Speed up possible_hypergeometric_data for fixed weight. (See #23953 for one step: returning an iterator instead of a list.)
- Add the computation of the Frobenius structure on the hypergeometric equation, which can be more efficient than the trace formula when the degree is large.
- Refactor: should this really be under
modular
?
Change History (14)
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comment:8 Changed 11 months ago by
- Description modified (diff)
- Keywords hypergeometric motives added; sd91 removed
- Milestone changed from sage-8.2 to sage-9.1
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- Milestone changed from sage-9.1 to sage-9.2
comment:13 Changed 5 months ago by
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comment:14 Changed 3 months ago by
- Milestone changed from sage-9.2 to sage-9.3
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