Interacting particle systems is a recently developed field in the theory of Markov processes with many applications: particle systems have been used to model phenomena ranging from traffic behaviour to spread of infection and tumour growth. We…
Categoria evento: Seminars
Averaging along irregular curves and regularization of ODEs – Remi Catellier (Université de Nice Sophia-Antipolis)
Paths of some stochastic processes such as fractional Brownian Motion have some amazing regularization properties. It is well known that in order to have uniqueness in differential systems such as dy_t = b(y_t) dt, b needs to be quite regular.…
Gruppo fondamentale del link di singolarità – Mirko Mauri (LSGNT)
Ogni singolarità (isolata) è omeomorfa al cono sopra il bordo di un suo intorno locale detto link. Una serie di evidenze mostra l’esistenza di una forte connessione tra la topologia del link e la natura algebrica della singolarità. In particolare,…
L^2-Betti numbers and Riemannian volume – Sabine Braun (Karlsruher Institut für Technologie)
Gromov raised the question whether there is a universal bound for theL^2-Betti numbers of an aspherical manifold by its simplicial volume. A positive answer would yield, in combination with Gromov’s main inequality, an upper bound ofL^2-Betti…
Numerical Analysis Seminar – Tensor Analysis: Spectral Theory and Special Tensors – Liqun Qi (The Hong Kong Polytechnic University, Department of Applied Mathematics)
Eigenvalues for tensors were introduced in 2005. Since then, a rich theory on eigenvalues of tensors and special tensors has been developed. There are two main definitions of eigenvalues of tensors. One definition is based upon homogeneous…
A particle system approach to cellular aggregation model – Marta Leocata (Università di Pisa)
Venue Sala Seminari (Dip. Matematica). Abstract…
An exact self-similar solution to a branched transport problem – Michael Goldman (CNRS, Laboratoire Jacques-Louis Lions)
In this talk I will show how one can exactly compute the minimizer of a variant of branched transportation arising as a simplified model for pattern formation in type-I superconductors. The proof relies on the natural scaling properties of the…
Elliptic diffeomorphisms of symplectic 4-manifolds – Gleb Smirnov (International School for Advanced Studies (Trieste, Italy))
In his PhD thesis, Paul Seidel found examples of symplectomorphisms which are smoothly isotopic to the identity, but not isotopic to the identity within the symplectomorphism group. These symplectomorphisms are known as Dehn twists, and they exist…
La teoria di Hodge dell’algebra di Hecke e in teoria delle rappresentazioni – Leonardo Patimo (Max Planck Institute for Mathematics, Bonn)
Le congetture di Kazhdan-Lusztig forniscono una formula esplicita per calcolare il carattere delle rappresentazioni con peso più alto di un’algebra di Lie semisemplice complessa. La dimostrazione originale di queste congetture si basa su risultati…
On the spectrum of minimal submanifolds in space forms – Luciano Mari (Scuola Normale Superiore)
Let $\varphi : M^m \to N^n$ be an immersed minimal submanifold in Euclidean or hyperbolic space. In this talk, I survey on some recent results obtained in collaboration with various colleagues from Brazil, to ensure that the Laplace-Beltrami…