Project C6: Stratifying derived categories over arbitrary bases

Principal investigators
Prof. Dr. Henning Krause
Prof. Dr. Eike Lau
Investigators
Dr. Patrick Bieker
Dr. Teresa Conde
Dr. Juan Omar Gomez Rodriguez
Dr. Janina Letz
Christopher J. Parker
Dr. Marc Stephan
Florian Tecklenburg
Summary:
Foundations of tensor-triangular geometry will be developed within Project C6. The project will deal with problems of classification of localising and thick subcategories of various triangulated categories arising from representation theory of associative algebras (strict polynomial functors, tame hereditary algebras) and algebraic geometry (perfect complexes of coherent sheaves on an algebraic stack).

Recent preprints:
25057 Juan Omar Gomez RodriguezPDF
Fiberwise building and stratification in tensor triangular geometry
Project: C6
25054 Henning KrausePDF
Abelian versus triangulated quotients
Project: C6
25050 Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia PevtsovaPDF
The spectrum of local dualisable modular representations
Project: C6
25049 Janina LetzPDF
The Rouquier dimension of the category of perfect complexes over a regular ring
Projects: C6, C7
25047 Henrik Rüping, Marc StephanPDF
Steenrod closed $C_3$-invariant parameter ideals in the mod 2 cohomology of $\mathbb{Z}/2\times\mathbb{Z}/2$
Project: C6