Benedetta Noris, Politecnico di Milano, Symmetric solutions to supercritical elliptic problems, Tuesday, January 26, 2021, time 11:15, https://polimi-it.zoom.us/j/82733828774?pwd=UFJWWTBkMmpnR0VOZndTcE54Vjcrdz09
Abstract:Abstract:
When searching for solutions to Sobolev-supercritical elliptic problems, a major difficulty is the lack of Sobolev embeddings, that entrains a lack of compactness. In this talk, I will discuss how symmetry and monotonicity properties can help to overcome this obstacle. In particular, I will present a recent result concerning the existence of axially symmetric solutions to a semilinear equation, in collaboration with A. Boscaggin, F. Colasuonno and T. Weth.

Giulia Cavagnari, Politecnico di Milano, Evolution equations driven by dissipative operators in Wasserstein spaces, Wednesday, January 20, 2021, time 11:15, Link: https://polimi-it.zoom.us/j/88549174352?pwd=dmxXbjdnWlZiK1k1Zk4rR0FDWUN0Zz09
Abstract:Abstract:
In this talk we present new results framing into the recent theory of Measure Differential Equations introduced by B. Piccoli (Rutgers University-Camden). The state space where these evolution equations are set is the Wasserstein space of probability measures, hence tools of Optimal Transport are essential. The key point here is that the vector field itself maps into the space of probability measures lying on the tangent bundle, in a way compatible with the projection on the state space. We give a stronger definition of solution which indeed “selects” only one of the (not unique) solutions in the sense of Piccoli. In addition to uniqueness, we are also able to prove stability results. To do so, we borrow ideas from the theory of evolution equations driven by dissipative operators on Hilbert spaces, giving a notion of solution in terms of a so called Evolution Variational Inequality. This is a joint work with G. Savaré (Bocconi University) and G. E. Sodini (TUM-IAS).

Maurizio Garrione, Politecnico di Milano, Some recent stability results for beams with intermediate piers, Tuesday, January 12, 2021, time 11:15, Link Zoom: https://polimi-it.zoom.us/j/84708758746?pwd=aFpGY09hSzZnNDg3alk4bnhTNDN6UT09
Abstract:Abstract:
We deal with nonlinear fourth-order evolution equations describing the dynamics of beams with one or more intermediate piers. We study the role of the geometry of the structure (that is, of the position of the piers), as well as the effect of a nonhomogeneous density, in the (linear) stability of bi-modal solutions. The analysis gives some evidence that both the asymmetry and the nonhomogeneity reinforce the structure

Vincenzo Vespri, Università di Firenze, Cryptocurrencies: the future of the money?, Thursday, December 17, 2020, time 14:00, aula virtuale
Abstract:Abstract:
In this talk I will speak about bitcoins and cryptocurrencies, how they work and their perspectives. I will consider the possible applications in business and IOT.

Vincenzo Vespri, Università di Firenze, Simulation of the chaos of the financial market through dynamical systems, Monday, November 30, 2020, time 15:30, Webex: Franco Tomarelli personal room
Abstract:Abstract:
We will follow the fractal market approach to simulate the chaos of the behaviour of the financial markets. We will use also some hypotheses of the behavioural finance.

Nicolò De Ponti, Università degli Studi di Pavia, Entropy-Transport distances between measures and metric measure spaces, Tuesday, Febraury 11, 2020, time 15:15, Aula seminari 3° piano
Abstract:Abstract:
After providing the necessary background material, we describe a class of distances coming from optimal Entropy-Transport problems, a recent generalization of optimal transport where also creation and destruction of mass is taken into account. Inspired by previous work of Gromov and Sturm, we then use these metrics to construct new meaningful distances between metric measure spaces with finite mass. This talk is based on a joint collaboration with Andrea Mondino and Giuseppe Savaré.