Diagram Categories in Homotopy Theory CRG Seminar: Valentina Zapata Castro
Topic
Model categories in a grid
Speakers
Details
Model categories provide a powerful framework for abstract homotopy theory, but their complexity often makes them difficult to classify. By focusing on finite categories, especially grids, we gain a combinatorial setting where the problem becomes explicit. In this talk, we explore model structures through weak factorization systems (WFS) on posets, which are in one-to-one correspondence with transfer systems and their duals, both introduced here. This perspective leads to a method for constructing model structures and a characterization theorem for finding weak equivalence sets in posets. Our approach offers a pathway towards classifying model structures in a controlled setting.
This is joint work with Kristen Mazur, Angélica Osorno, Constanze Roitzheim, Rekha Santhanam and Danika Van Niel.
Additional Information
For more information, including connection details, and other events in this series, please see the external seminar website. Please also see the Diagram Categories in Homotopy Theory CRG page.