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A deeper look at shallow waters

Geophysical fluid dynamics consider domains with horizontal length scales much larger than the vertical ones. In this regime, simplified mathematical models based on the hydrostatic approximation can ...

Modeling and optimal control of a tentacle-like soft-manipulator.

Soft-robotics is an emerging branch of robotics, focused on the design, construction and control of articulated manipulators (even with a large number of degrees of freedom) composed of elastic and so...

Metriche a curvatura scalare costante su varietà algebriche e rivestimenti di Galois

In questo seminario presenterò alcuni risultati recenti ottenuti con Y. Shi e A. Della Vedova. Dopo un'introduzione generale sui metodi noti per produrre metriche di Einstein e csck, presenterò come u...

The Hamilton-Jacobi equation in nonlinear PDEs, dynamics and optimal control

A celebration of Antonio Siconolfi's 70th birthday ...

Singular K3 surfaces and complex reflection groups

Joint work with A. Sarti. Singular K3 surfaces are the K3 surfaces with maximal Picard number, namely 20. I will explain how to construct families of K3 surfaces with big Picard number using invariant...

Differential Calculus For Transport Problems

We are interested in the development of a numerical method for solving optimal control problems governed by hyperbolic systems of conservation laws. The main difficulty of computing the derivative in ...

Mathematical Analysis on Some Car-Following Models

In this talk, I will present our recent analysis results on some car-following models, i.e., the intelligent driver's model (IDM) and the Bando-Follow the leader (Bando-FtL) model. In particular, we s...

Limitatezza di varietà di Calabi-Yau ellittiche

In questo seminario, parlerò di alcuni risultati e idee recenti nello studio della limitatezza delle varietà, in collaborazione con Di Cerbo, Birkar e Di Cerbo, e Filipazzi e Hacon. In particolare, mi...

Four dimensional Hadamard manifolds are Euclidean

I will give an overview about topology of CAT (0) manifolds and will explain why in four dimensions every such manifold is homeomorphic to the Euclidean space. This is a joint work with Nagano-Stadler...

Yamabe type problems and singular Riemannian foliations

The Yamabe problem is a classical problem about how to find Riemannian metrics of constant scalar curvature. This problem can be written as a PDE with unique positive solutions. On the other hand, the...