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Number Theory Seminar

Seminar information archive ~05/24Next seminarFuture 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 -adic GKZ hypergeometric sheaves (ENGLISH)
[ Abstract ]
-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 -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 -adic GKZ hypergeometric sheaves and those of non-confluent GKZ hypergeometric D-modules. We also explain the limitation of our algorithm by an example.