Silting objects characterise derived equivalences of connective dg-algebras. The more restricted class of two-term silting object is inextricably linked with cluster combinatorics. We review the definition and first properties of two-term silting objects in triangulated categories. One can use them
Attention à l'heure inhabituelle. Buch, Mihalcea, Chaput, and Perrin proved that for cominuscule flag varieties, (T-equivariant) K-theoretic (3-pointed, genus 0) Gromov-Witten invariants can be computed in the (equivariant) ordinary K-theory ring. Buch and Mihalcea have a related conjecture for all
L’obtention de quotients est une question naturelle mais relativement difficile en géométrie algébrique. À cette fin, la semistabilité est une notion essentielle dans la définition de tels objets. Soit k un corps et X une courbe définie au-dessus de k.
We define permutree sorting which generalizes the stack sorting and Coxeter sorting algorithms respectively due to Knuth and Reading. It consists of an algorithm that succeeds for a permutation if and only it is minimal in its permutree class or
Abstract: The relationship between representation theory and the study of scattering amplitudes for scalar field theories started with the work of Arkani-Hamed, Bai, He and Yan, when they showed that the amplitudes for planar scalar field theories with cubic potential
Exposé virtuel. Attention à l'horaire inhabituel. Cluster complexes are a certain class of simplicial complexes that naturally arise in the theory of cluster algebras. They codify a wealth of fundamental information about cluster algebras. The purpose of this talk is
Résumé : La question qui nous intéresse est celle de comportement des racines de Frobenius quand le corps de base est fixe et le genre des courbes ou la dimension des variétés abéliennes tends vers infinie. J'expliquerai comment on peut
A Postnikov diagram is an embedding of oriented curves, called strands, in a disk. These diagrams are known to describe the cluster algebra structure of open positroid varieties, with diagrams of uniform type corresponding to a cluster of minors in
Résumé : les théories quantiques des champs topologiques fournissent des représentations projectives des groupes modulaires des surfaces, qui préservent une forme pseudo-hermitienne. Les invariants de Toledo de ces représentations fournissent un nouvel exemple de CohFT, que nous expliciterons complètement dans
Abstract : Fano manifolds are complex projective manifolds having positive first Chern class. The positivity condition on the first Chern class has far reaching geometric and arithmetic implications. For instance, Fano manifolds are covered by rational curves, and families of Fano
