Project Details
Projekt
Motives with modulus
Subject Area
Mathematics
Term
from 2015 to 2020
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 269314504
Motives and motivic cohomology are basic constructions that incorporate linearised information about algebraic varieties, that is, solutions of polynomial equations. The current constructions do not reflect the 'infinitesimal' structure of a varieties, but see them just as point sets in the surrounding space. Some invariants, such as algebraic K-theory and ramification theory in positive characteristic, comprise this finer structure. We plan to modify the constructions of motives and motivic cohomology to include this finer information, and to relate the new motivic cohomology theory arising from this construction to algebraic K-theory.
DFG Programme
Priority Programmes
Subproject of
SPP 1786:
Homotopy Theory and Algebraic Geometry
