Umesh Dubey
Harish-Chandra Research Institute
September 5, 2024
Stratification in tensor triangular geometry: P. Balmer introduced tensor triangular geometry to analyze tensor triangulated (tt-) categories using algebraic geometry methods, building on the work of Benson, Carlson, Hopkins, Neeman, Thomason, and others. This approach offers a unified process for exploring various aspects of Homological and Homotopical algebra. Benson, Iyengar, and Krause first introduced the concept of stratification to study localizing subcategories of rigidly compactly generated (big) tt-categories. Barthel, Heard, and Sanders further generalized it to facilitate the classification of localizing subcategories for a wider class of big tt-categories and provide information on the telescopic conjecture. If time allows, we will also report on our ongoing collaborative work with Vivek Mallick on the stratification of certain equivariant tt-categories.
Harish-Chandra Research Institute
September 5, 2024
Stratification in tensor triangular geometry: P. Balmer introduced tensor triangular geometry to analyze tensor triangulated (tt-) categories using algebraic geometry methods, building on the work of Benson, Carlson, Hopkins, Neeman, Thomason, and others. This approach offers a unified process for exploring various aspects of Homological and Homotopical algebra. Benson, Iyengar, and Krause first introduced the concept of stratification to study localizing subcategories of rigidly compactly generated (big) tt-categories. Barthel, Heard, and Sanders further generalized it to facilitate the classification of localizing subcategories for a wider class of big tt-categories and provide information on the telescopic conjecture. If time allows, we will also report on our ongoing collaborative work with Vivek Mallick on the stratification of certain equivariant tt-categories.