Project Details
Projekt
Higher Nearby Cycles Functors and Grothendieck Duality (A08)
Subject Area
Mathematics
Term
since 2018
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486
The aim of this project is to prove an index formula for characteristic cycles of étale sheaves conjectured by Takeshi Saito. Our strategy is to adapt methods of microlocal analysis of Kashiwara and Schapira to the context of derived algebraic geometry. In particular, we will construct characteristic cycles of motivic sheaves over derived schemes as well as a version of the Fourier transform of motivic sheaves over the cotangent complex.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1085:
Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
Applicant Institution
Universität Regensburg
Project Heads
Professor Dr. Denis-Charles Cisinski; Professor Dr. Marc Hoyois, since 7/2021
