Top-level heading

La matematica computazionale è l’aritmetica della scienza

https://www.lincei.it/it/manifestazioni/lettura-corsiniana-della-socia-annalisa-buffa-la...

The triconnected Kontsevich graph complex

Many objects of interest in algebraic topology can be computed by graph complexes. This includes homotopy groups of embedding spaces and diffeomorphism groups, and in particular (parts of) the cohomol...

A multiplication formula for cluster characters in gentle algebras

Gentle algebras, introduced by Assem and Skowroński, are a well-loved class of algebras. They are string algebras, so their module categories are combinatorially described in terms of strings and band...

Integrability results for solutions to equations of n--Laplacian type

There is an increasing interest in finding optimal conditions ensuring regularity of solutions to n-Laplacian type equations, so aims of this talk are to give a complete picture of recent results of ...

Correlation energy of the dilute spin-1/2 Fermi gas

In 1957, Huang and Yang predicted an asymptotic expansion for the ground state energy of a dilute Fermi gas in the thermodynamic limit, accurate up to third order. Their formula revealed remarkable un...

Construction of interacting equilibrium states for non-relativistic Bose gases with condensation

Abstract: In this talk I will present a recent construction of equilibrium states at positive temperature, with and without Bose-Einstein condensation, for a non-relativistic Bosonic QFT (gas of Bose ...

The multiple cover formula conjecture for Gromov-Witten invariants of abelian surfaces

Abelian surfaces are complex tori whose enumerative invariants satisfy remarkable regularity properties. The computation of their (reduced) Gromov-Witten invariants for the so called primitive classes...

Applications of tropical geometry to classical enumerative questions

Tropical Geometry has been the subject of great amount of activity over the last two decades sparked by its application to enumerative geometry. Loosely speaking, it can be described as a piecewise-li...

Algebraic exceptional set of a three-component curve on rational surfaces

Motivated by the Green-Griffiths and Lang-Vojta conjectures, it is expected that the algebraic exceptional set of a log-surface $(X,B)$ of log-general type - which parametrizes rational curves on $X$ ...

Yang-Baxter equation and representation theory

The aim of this course is to introduce the Yang–Baxter equation, and how it arises as a sufficient condition for solvability of the lattice models of statistical mechanics. The related algebras of sym...
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