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Number Theory Seminar
Seminar information archive ～05/24｜Next seminar｜Future seminars 05/25～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2022/07/06
17:00-18:00 Hybrid
Peijiang Liu (University of Tokyo)
The characteristic cycles of non-confluent ℓ-adic GKZ hypergeometric sheaves (ENGLISH)
Peijiang Liu (University of Tokyo)
The characteristic cycles of non-confluent ℓ-adic GKZ hypergeometric sheaves (ENGLISH)
[ Abstract ]
ℓ-adic GKZ hypergeometric sheaves are defined to be étale analogues of GKZ hypergeometric D-modules. We introduce an algorithm of computing the characteristic cycles of certain type of ℓ-adic GKZ hypergeometric sheaves. We compute the irreducible components by a push-forward formula for characteristic cycles of étale sheaves, and compute the multiplicities by considering a comparison theorem between the characteristic cycles of non-confluent ℓ-adic GKZ hypergeometric sheaves and those of non-confluent GKZ hypergeometric D-modules. We also explain the limitation of our algorithm by an example.
ℓ-adic GKZ hypergeometric sheaves are defined to be étale analogues of GKZ hypergeometric D-modules. We introduce an algorithm of computing the characteristic cycles of certain type of ℓ-adic GKZ hypergeometric sheaves. We compute the irreducible components by a push-forward formula for characteristic cycles of étale sheaves, and compute the multiplicities by considering a comparison theorem between the characteristic cycles of non-confluent ℓ-adic GKZ hypergeometric sheaves and those of non-confluent GKZ hypergeometric D-modules. We also explain the limitation of our algorithm by an example.
