## 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…

## Optimization & Numerical Analysis seminars. Recent Progress on the Nearest Correlation Matrix Problem. – Natasa Strabic – The University of Manchester (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)

In a wide range of applications it is required to replace an empirically obtained unit diagonal indefinite symmetric matrix with a valid correlation matrix (unit diagonal positive semidefinite matrix). A popular replacement is the nearest…

## Annealed and quenched central limit theorem for random dynamical systems – Romain Aimino (Roma 2)

For random dynamical systems, one can distinguish two kinds of limit theorems: annealed results, which refer to the Birkhoff sums seen as functions of both the phase space variable and the choice of the maps composed, and quenched results, which…

## Optimization & Numerical Analysis seminars. Fast Computation of Centrality Indices – Caterina Fenu – Università di Pisa (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)

One of the main issues in complex networks theory is to find the “most important” nodes. To this aim, one can use matrix functions applied to its adjacency matrix. After an introduction on the use of Gauss-type quadrature rules, we will discuss a…

## Perturbations of variational evolutions – Andrea Braides (Universita’ di Roma “Tor Vergata)

The notion of minimizing movement (Almgren-Taylor-Wang, De Giorgi), which has been used to give a general definition of gradient flow (Ambrosio-Gigli-Savaré) can also be used to study a “homogenized” motion for a family of functionals depending on a…

## Lipschitz Metrics for Nonlinear Wave Equations – Alberto Bressan (Penn State University)

The talk is concerned with some classes of nonlinear wave equations: of first order, such as the Camassa-Holm equation, or of second order, as the variational wave equation $u_{tt} – c(u) (c(u)u_x)_x=0$. In both cases, it is known that the equations…

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