2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Collection 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Organizer(s) Cattaneo, Alberto ; Jotz, Madeleine ; Liao, Hsuan-Yi ; Schiavina, Michele ; Stiénon, Mathieu ; Xu, Ping
Date(s) 22/05/2023 - 26/05/2023
linked URL https://indico.math.cnrs.fr/event/7882/
8 11

Spectral sequences arise as algebraic tools in many areas of mathematics. Of particular interest are spectral sequences of filtered complexes and multicomplexes. Questions addressed during the talk: how to compare spectral sequences? Can we invert some class of weak equivalences, as e.g. morphisms realizing an isomorphism from a given page and afterwards? This is a long project with S. Whitehouse and I will explain some model category structures relying on these weak equivalences, for filtered complexes, multicomplexes and show that for spectral sequences we have a weaker notion of model category structure.

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