Project Details
Projekt
Matroids, codes, and their q-analogs (A07)
Subject Area
Mathematics
Term
since 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403
Matroids are combinatorial abstractions of linear independence in vector spaces. One aspect of this project concerns the interplay of matroids and algebra in the context of free hyperplane arrangements. The concept of a matroid has been extended to that of a Coxeter matroid and, recently, to that of a q-analogue of a matroid. Another aspect of the project concerns coding theoretic representations of q-analogues of matroids on the one hand and the definition and investigation of a notion of a q-analogue of a Coxeter matroid on the other hand.
DFG Programme
CRC/Transregios
Applicant Institution
Universität Bielefeld
Project Heads
Professor Dr. Lukas Kühne; Professor Dr. Kai-Uwe Schmidt (†)
