Supports and filtrations in algebraic geometry and modular representation theory

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Spectra, spectra, spectra – Tensor triangular spectra versus Zariski spectra of endomorphism rings (2010, background): “In [2; 6] we wrote “strongly closed” instead of “rigid” but the latter terminology seems more common.”
Support varieties: an ideal approach (2005, methodology): “A treatment of decompositions in the stable module category modkG can be found in [11], where kG denotes the group algebra of a finite group G. For further discussions, see the recent work of Balmer [ 2 ] and Chebolu”
Generalized trace and modified dimension functions on ribbon categories (2010, background): “In algebraic geometry, they arise as the derived categories of perfect complexes over certain schemes [5], and in the theory of motives as Tannakian categories.”
Classifying thick subcategories of the stable category of Cohen-Macaulay modules (2009, unknown): “For example, see [7, 8, 9, 43, 15, 11, 38, 13, 20, 53].”
Generalized tensor idempotents and the telescope conjecture (2011, background): “Tensor triangular geometry is the study of tensor triangulated categories, in algebraic geometry, homotopy theory, modular representation theory and beyond (see [2, 3]).”