Concept
Groupe d'homotopie
Publications associées (41)
Cochains are all you need
In this thesis, we apply cochain complexes as an algebraic model of space in a diverse range of mathematical and scientific settings. We begin with an algebraic-discrete Morse theory model of auto-encoding cochain data, connecting the homotopy theory of d ...
EPFL2024Cyclic $A_\infty$-algebras and cyclic homology
We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...
2023Towards the K(2)-local homotopy groups of Z
Previously (Adv. Math. 360 (2020) art. id. 106895), we introduced a class (Z) over tilde of 2-local finite spectra and showed that all spectra Z is an element of (Z) over tilde admit a v(2)-self-map of periodicity 1. The aim here is to compute the K(2)-loc ...
GEOMETRY & TOPOLOGY PUBLICATIONS2020Characteristic classes as complete obstructions
In the first part of this paper, we propose a uniform interpretation of characteristic classes as obstructions to the reduction of the structure group and to the existence of an equivariant extension of a certain homomorphism defined a priori only on a sin ...
SPRINGER HEIDELBERG2019Learning Hawkes Processes from a Handful of Events
Patrick Thiran, Matthias Grossglauser, William Trouleau, Farnood Salehi
Learning the causal-interaction network of multivariate Hawkes processes is a useful task in many applications. Maximum-likelihood estimation is the most common approach to solve the problem in the presence of long observation sequences. However, when only ...
2019