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:
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Description (last modified by kedlaya)

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)

comment:1 Changed 3 years ago by kedlaya

  • Description modified (diff)

comment:2 Changed 3 years ago by sbrandhorst

  • Keywords sd91 added

comment:3 Changed 3 years ago by kedlaya

  • Description modified (diff)

comment:4 Changed 3 years ago by kedlaya

  • Description modified (diff)

comment:5 Changed 3 years ago by kedlaya

  • Description modified (diff)

comment:6 Changed 3 years ago by kedlaya

  • Description modified (diff)

comment:7 Changed 15 months ago by kedlaya

  • Description modified (diff)

comment:8 Changed 11 months ago by kedlaya

  • Description modified (diff)
  • Keywords hypergeometric motives added; sd91 removed
  • Milestone changed from sage-8.2 to sage-9.1

comment:9 Changed 11 months ago by kedlaya

  • Description modified (diff)

comment:10 Changed 11 months ago by kedlaya

  • Description modified (diff)

comment:11 Changed 10 months ago by chapoton

  • Description modified (diff)

comment:12 Changed 8 months ago by mkoeppe

  • Milestone changed from sage-9.1 to sage-9.2

Batch modifying tickets that will likely not be ready for 9.1, based on a review of the ticket title, branch/review status, and last modification date.

comment:13 Changed 5 months ago by kedlaya

  • Description modified (diff)

comment:14 Changed 3 months ago by mkoeppe

  • Milestone changed from sage-9.2 to sage-9.3
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