Deep neural networks, in the infinite-width limit, give rise to isotropic Gaussian processes whose spectral and geometric features encode fundamental information about network architectures and activa...
Following the seminal works of Feruglio, Ding and Liu on modular symmetries in particle physics, the Siegel upper half-space has emerged as a natural framework for constructing predictive models of fe...
In this talk, we first review the band bases of the skein algebras (equivalently, the quantum cluster algebras) associated with unpunctured surfaces. We then show that these bases coincide with the co...
The goal of the talk is to introduce the symmetric monoidal (infty,2)-category Gr of finite sets, graph cobordisms, and tree collapse maps, and to state its universal property as a free symmetric mono...
We study the rational cohomology of the quotient of (generalized) braid groups by the commutator subgroup of the pure braid groups. We provide a combinatorial description of it using isomorphism class...
The aim of the talk is to describe the weak categorical quiver minor theorem. We will introduce the framework of quasi-Groebner categories, as developed by Sam and Snowden, and use it to study structu...
Nonlocal minimal surfaces are the fractional counterpart of the classical minimizers of the perimeter functional. A special subclass is given by nonlocal minimal graphs, namely nonlocal minimal surfac...
Optimal transport is the general problem of moving one distribution of mass to another one as efficiently as possible, typically keeping track of the ambient geometry. In this seminar I will present r...
Sherali–Adams relaxations and sum-of-squares (SOS) hierarchies offer a unifying framework for understanding the power and limitations of algorithmic techniques in optimization and theoretical computer...
Abstract: Combinatorics of graphs is a very powerful tool to unravel various properties of graph algebras. In particular, isomorphisms between graph algebras are often implemented by moves between th...
