Workshops and courses

Aspects of Time-Frequency Analysis - June 25-28, 2019

Time-frequency analysis is a flourishing area of current mathematical research with an interdisciplinary flavour: it covers a wide range of successful applications in partial differential equations, quantization, signal processing, seismology, and other branches of physics, medicine and engineering.
The conference aims at bringing together people from different communities to interweave and combine their skills in the field, to widen and improve the methodologies, to deepen the knowledge of signal analysis.
Topics will include function spaces, time-frequency analysis and Gabor analysis, sampling theory and compressed sensing, mathematical signal processing, microlocal analysis, pseudodifferential operators and Fourier integral operators, numerical harmonic analysis, abstract harmonic analysis, and applications of harmonic analysis.


Chemical Reaction Networks - June 24-July 03, 2019

Chemical Reaction Networks (CRNs) are popular mathematical models of several phenomena in system biology, epidemiology, population dynamics, telecommunications, chemistry. In such models, individuals are identical units, classified into several groups and interact through the so-called reactions. A reaction means, for example, an individual eating one of another group, or dying, or reproducing, as well as a protein binding with the RNA to regulate gene expression. CRNs can be modelled both as deterministic dynamical systems or stochastic systems (continuous time Markov chains).
During the school, the following significant contributions to the theory of CRNs will be addressed: guessing some qualitative behaviour of the system from the properties of the reaction graph; approximating complicated systems with simpler ones. Moreover, we will review some applications of CRNs to important real problems, including some statistical methodology that is required to fit the real data.


Resilient Control of Infrastructure Networks - September 24-27, 2019

As critical infrastructure systems -such as transport and energy networks- face loads of increasing magnitude and variability, achieving efficiency and reliability has become a key challenge. While designed to perform well under normal operation conditions, such complex systems tend to exhibit critical fragilities in response to unforeseen disruptions. One of the greatest current challenges for the mathematical theory of control systems is to create solid scientific foundations and computationally efficient methodologies for the analysis of the design of resilient network systems.
This workshop aims at gathering leading researchers to present state of the art and the main open problems in the field.


Network Dynamics in the Social, Economic, and Financial Sciences - November 5-8, 2019

It has been recognized as the complexity of social, economic, and financial systems does not depend on their large scale only, but it rather emerges from the architecture and the nature of interactions within the units composing these systems. This workshop will gather some of the leading scientist presenting the most recent successful network dynamics models in this field.
The emergence of global features, learning phenomena, resilience with respect to shocks, optimization, and control are some of the topics that will be covered.




Past events - Seminars

An introduction to Discrete Integrable Systems - May-June, 2019

The aim of the course is to give an introduction to the theory of integrable systems, both continuous and discrete. The characteristic feature of such systems is that they possess symmetries, conservation laws, and Bäcklund transformations, which allow one to construct for them interesting explicit solutions, including celebrated soliton solutions. Examples of such systems include well-known equations of mathematical physics such as the Korteweg-de Vries, nonlinear Schrödinger, Landau-Lifshitz equations.
Using algebraic and geometric methods, in this course we will study integrable nonlinear partial differential equations and discrete equations on lattices, which play essential roles in many branches of mathematics and physics, including algebra, geometry, combinatorics, numerical analysis, electromagnetism, fiber optics, and the theory of water waves.




Past events - Seminars