nLab Marc Hoyois

• webpage

Selected writings

On Grothendieck's six operations in equivariant motivic homotopy theory:

• Marc Hoyois, The six operations in equivariant motivic homotopy theory, Adv. Math. 305 (2017) 197-279 [arXiv:1509.02145, doi:10.1016/j.aim.2016.09.031]

On Joyal $\infty$-loci:

• Marc Hoyois, Topoi of parametrized objects, Theory and Applications of Categories, 34 9 (2019) 243-248 [arXiv:1611.02267, tac:34-09]

On the Quillen plus construction in (∞,1)-category theory:

• Marc Hoyois, On Quillen’s plus construction, 2019 (pdf)

On a construction of algebraic cobordism as a non-$\mathbb{A}^1$-invariant cohomology theory on derived schemes, and the resulting Conner-Floyd isomorphism:

• Toni Annala, Marc Hoyois, Ryomei Iwasa, Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory [arXiv:2303.02051]

Related entries

• motivic homotopy theory
• étale homotopy

category: people