Effective algebro-homotopical constructions and their applications

par Anibal Medina-Mardones (Paris 13)

mardi 18 avr. 2023, 14:00 → 15:00 Europe/Paris

IMT 1R2 207 (Salle Pellos)

To incorporate ideas from homotopy theory into areas such as topological data analysis and topological lattice field theory, it is crucial to have effective constructions of concepts defined only transcendentally. During this talk,

we will present a concrete construction of a structure on cochains that, after
Mandell, encodes the entire homotopy type of a space in its quasi-isomorphism

type. Additionally, we will examine applications of this ideas to the aforementioned areas as well as to knot theory, higher category theory, and toric geometry.