Davison proved that the moduli space of objects in a k-linear 2-Calabi–Yau category is formally locally a quiver variety. Bellamy–Schedler gave a classification of which quiver varieties admit symplectic resolutions of singularities, and more…

# Categoria evento: Seminar on Combinatorics and Lie Theory and Topology

## Vertex algebras from divisors on Calabi-Yau threefolds – Dylan Butson (University of Oxford)

We will explain two conjecturally equivalent constructions of vertex algebras associated to divisors $S$ on certain toric Calabi-Yau threefolds $Y$. One construction is algebraic, as the kernel of screening operators on lattice vertex algebras…

## A raising operator formula for Macdonald polynomials – George H. Seelinger (University of Michigan)

Macdonald polynomials are a basis of symmetric functions with coefficients in $\mathbb{Q}(q,t)$ exhibiting deep connections to representation theory and algebraic geometry. In particular, specific specializations of the $q,t$ parameters recover…

## Persistent homology in action: bridging topology and machine learning – Davide Moroni (CNR, Pisa)

Based on recent advances in representations based on topological descriptors, the talk will discuss how to leverage persistent homology for dealing with classification tasks of digital data. Applications to biomedical signal processing will be given…

## Vertex labeling properties on simplicial complexes – Bruno Benedetti (University of Miami)

Hamiltonian graphs are graphs where one can find a closed walk that touches all vertices exactly once. Equivalently, they are the graphs whose vertices can be labeled from 1 to n so that all of 12, 23, 34, …, n1 feature among the edges. This…

## Introduction to persistent homology – Maria Antonietta Pascali (CNR, Pisa)

The talk will trace the history of persistent homology from its definition to the recent developments, describing the most important properties and theorems of persistent diagrams, with an eye to their applications.…

## Maps enumeration and Symmetric functions – Houcine Ben Dali (Université de Lorraine)

A map is a graph which is drawn on a compact orientable surface. There exist various results relating the generating series of maps to the theory of symmetric functions. In this talk, I present two different approaches which allow to relate the…

## Charge, Atoms and Crystals in Representation Theory – Leonardo Patimo (Albert-Ludwigs-Universität Freiburg)

The dimensions of the weight spaces of irreducible representations of reductive groups can be q-deformed, obtaining the Kostka-Foulkes polynomials, which measure the dimensions of the Brylinski-Kostant filtration and therefore have positive…

## The mod $p$ cohomology of complete unordered flag manifolds in $\mathbb{C}^n$ and $\mathbb{R}^n$ – Lorenzo Guerra (Università di Roma ‘Tor Vergata’)

Flag manifolds are topological spaces parametrizing nested subspaces in a fixed vector space. On the complete flag manifold of $\mathbb{C}^n$ and $\mathbb{R}^n$ there is a natural action of the symmetric group on $n$ letters. In this talk I will…

## P=W via $H_2$ – Anton Mellit (University of Vienna)

By $H_2$ we denote the Lie algebra of polynomial hamiltonian vector fields on the plane. We consider the moduli space of stable twisted Higgs bundles on an algebraic curve of a given coprime rank and degree. De Cataldo, Hausel and Migliorini proved…