## Perturbations of countable Markov maps – Sara Munday (Università di Bologna)

We investigate how the dynamics of a countable Markov map change when the map is perturbed by analysing the topological conjugacy maps between the original and perturbed system. These conjugacies are strictly increasing singular maps (i.e., with…

## Asteroid families identification: history and state of the art – Dr. Zoran Knezevic (Astronomic Observatory of Belgrade)

The history of asteroid families, from their discovery back in 1918, until the present time, is briefly reviewed. Two threads have been followed: on the development of the theories of asteroid motion and the computation of proper elements, and on…

## Basi di Groebner e anelli determinantali – Emanuela De Negri (Università di Genova)

Lo studio degli anelli determinantali è un argomento classico in algebra commutativa, ed ha forti motivazioni geometriche. Un nuovo strumento che ha permesso di ottenere interessanti risultati in questo ambito è la teoria delle basi di Groebner. Sia…

## Martingale Optimal Transport (minicorso, parte IV) – Nizar Touzi (Ecole Polytechnique, Paris)

We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…

## Martingale Optimal Transport (minicorso, parte III) – Nizar Touzi (Ecole Polytechnique, Paris)

We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…

## Homological properties of ideals associated to graphs – Hop Nguyen (Università di Genova)

(This comes from a joint work with Thanh Vu.) Fix a field k. For any finite simple graph G with vertex set {x_1,…,x_n}, there is a so-called edge ideal associated to G, denoted by I(G), defined as follows: I(G) lives in the polynomial ring…

## Martingale Optimal Transport (minicorso, parte II) – Nizar Touzi (Ecole Polytechnique, Paris)

We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…

## “Shape optimization problems with Robin conditions on the free boundary” – Dorin Bucur (Université de Savoie, France)

Motivated by spectral optimization problems, we provide a free discontinuity approach to a class of shape optimization problems involving Robin conditions on the free boundary. More precisely, we identify a large family of domains on which such…

## “On the first nontrivial Neumann eigenvalue of the infinity Laplacian” – Carlo Nitsch (Università Federico II, Napoli)

The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\infty$-Laplacian. We show among other things that the…

## Martingale Optimal Transport (minicorso, parte I) [orario aggiornato] – Nizar Touzi (Ecole Polytechnique, Paris)

We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…

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