Guglielmo Nocera

collaborators

3 papers

math.AT2025

Isotopy invariance and stratified $E_{2}$ -structure of the Ran Grassmannian

Guglielmo Nocera, Morena Porzio

Let $G$ be a complex reductive group. A folklore result asserts the existence of an $E_{2}$ -algebra structure on the Ran Grassmannian of $G$ over $A_{C}^{1}$ …

math.KT2025

A model for the assembly map of bordism-invariant functors

Jordan Levin, Guglielmo Nocera, Victor Saunier

We study oplax colimits of stable categories, of hermitian categories and of PoincarÃ© categories in nice cases. This allows us to produce a categorical model of the assembly map o…

math.AG2025

A model for the E3 fusion-convolution product of constructible sheaves on the affine Grassmannian

Guglielmo Nocera

Let $G$ be a complex reductive group. The spherical Hecke category of $G$ can be presented as the category of $G_{O}$ -equivariant constructible sheaves on the affine Grass…

Isotopy invariance and stratified E2​-structure of the Ran Grassmannian

A model for the assembly map of bordism-invariant functors

A model for the E3 fusion-convolution product of constructible sheaves on the affine Grassmannian

Isotopy invariance and stratified $E_{2}$ -structure of the Ran Grassmannian