Seminari - Dipartimento Computer Science Seminari - Dipartimento Computer Science validi dal 29.09.2020 al 29.09.2021. Public Opening of the 2020 Fields Medal Symposium (online event) Relatore: Alessio Figalli; Provenienza: ETH Z├╝rich, CH; Data inizio: 2020-10-19; Ora inizio: 18.30; Referente interno: Giacomo Albi; Riassunto: We advertise thePublic Opening of the 2020 Fields Medal Symposium, to be held on Monday 19 October 2020 and hosted by The Fields Insitute for Research in Mathematical Sciences. The event features an interview between Hannah Fry and Alessio Figalli (Fields Medal 2018) and a panel of distinguished mathematicians discussing his work. Detailed program and registration link at: Mon, 19 Oct 2020 18:30:00 +0200 An introduction to the geometry of integrable Hamiltonian systems SSD MAT07 12 ore / 2 ECTS The minicourse will take place between the end of October and the beginning of November Relatore: dott. Daniele Sepe; Provenienza: Universidade Federal Fluminense; Data inizio: 2020-10-20; Note orario: Online seminar; Referente interno: Nicola Sansonetto; Riassunto: An important question in Hamiltonian mechanics is to describe qualitative properties of the dynamics under consideration. In general, this is a hard problem but it can be tackled for those systems that are known to be integrable, i.e. that admit the largest number of constants of motion. In spite of their relatively simple dynamical behaviour, integrable Hamiltonian systems play a prominent role in Hamiltonian mechanics and beyond, ranging from symplectic geometry, Lie theory and quantum mechanics. The aim of this course is to provide an introduction to the geometry of such systems from a symplectic perspective. After introducing the necessary tools from symplectic geometry, we will study the structure of integrable Hamiltonian systems near regular points and regular (connected components of) fibres, proving the Darboux-Caratheacute;odory and the Liouville-Arnol#39;d theorems. The theory will be illustrated by some (simple) examples. . Tue, 20 Oct 2020 00:00:00 +0200 Modeling epidemics: an introduction to the use of compartmental models for the simulation of epidemics in time and space [MAT/05, 3 ECTS] Relatore: Alexander Viguerie; Provenienza: Emory University and GSSI; Data inizio: 2020-10-25; Note orario: 8 hours starting end october 2020; Referente interno: Giandomenico Orlandi; Riassunto: The outbreak of COVID-19 in 2020 has led to a surge in interest of the mathematical modeling of epidemics. Many of the introduced models are so-called compartmental models, in which the total quan- tities characterizing a certain system may be decomposed into two (or more) species that are distributed into two (or more) homogeneous units called compartments. This short course will introduce the notion of a compartment model and the basics of their development. We will begin with the standard SIR (susceptible-infected-recovered) model, and gradually introduce more realistic models that account for factors such as age-structured populations, asymptomatic patients, and interventions such as lockdowns, mandatory mask-wearing etc. The course will also address how one may incorporate spatial variation via a partial dierential equation (PDE) model or additional compartments in an ordinary dierential equation (ODE) model. Some sample python code will be provided for numerical examples. The course is open to all students; however previous exposure to dierential equations and basic programming concepts is recommended. Course duration: 8 hours Tentative schedule: end october 2020 , for more information,contact person: G. Orlandi e-mail: Sun, 25 Oct 2020 00:00:00 +0200 Online Seminars on Numerical Approximation and Applications OSNA2 Relatore: Relatori vari; Data inizio: 2020-11-09; Ora inizio: 17.00; Note orario: starting date; Referente interno: Marco Caliari; Riassunto: We are pleased to announce a new series of on-line seminars entitled quot;Online Seminars on Numerical Approximation and Applications OSNA2quot;. The online series of seminars promotes the interchange among researchers working in the domain of numerical approximation and its applications, limited by the COVID-19 pandemic. Since the participation in traditional conferences is difficult, the primary goal of these webinars is to share novel and attractive ideas via web suggested by experienced and early-career researchers. As second aim, the colloquia intend to bridge the gap between theoretical aspects of approximation theory and its applications. OSNA2 will start on November 9, 2020, at 17:00 (GMT+2). For more information including the schedule of your talk please visit the website: and contact us for any problems or questions at . Registration is needed to receive e-mails and virtual connection access to follow the seminars. Mon, 9 Nov 2020 17:00:00 +0100 Scales and scalings in nematic liquid crystals and beyond Relatore: Prof. Arghir D. Zarnescu; Provenienza: Basque Centre for Applied Mathematics (Bilbao); Data inizio: 2020-11-16; Note orario: The time schedule may still vary. It will be ocnfirmed later on.; Referente interno: Giacomo Canevari; Riassunto: The aim of this course is to introduce some simple yet fundamental and powerful physical ideas related to physical dimensions and scales, dimensional analysis and nondimensionalisation. These are concepts universally relevant to physical systems and we will demonstrate this on a couple of toy physical models, as wellas a on a more realistic model, used in describingnematic liquid crystals. Furthermore we will look into the mathematical aspects related to the presence of small scalesexploring ideas related to regular/singular perturbations and homogenisation. The course will mix standard introductory examples and ideas from the current research (reformulated at a technically accessible level). Plan of lectures: 1. Units of measurements and physicalscales-dimensional analysis 2.Nondimensionalisations and various scalings 3. Small scales and regular perturbations 4. Singular perturbations-boundary layers 5. Singular perturbations-vortices 6. Multiple scales expansions 7. Homogenisation Bibliography: 1.Alama, S., Bronsard, L., & Lamy, X. (2016). Minimizers of the Landau-de Gennes energy around a spherical colloid particle. Archive for Rational Mechanics and Analysis ,222(1), 427-450. 2. Cioranescu, D., & Donato, P. (1999).An introduction to homogenization(Vol. 17, pp. x+-262). Oxford: Oxford University Press. 3.Barenblatt, G. I. (2003).Scaling(Vol. 34). Cambridge University Press. 4.Canevari, G., & Zarnescu, A. (2020). Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation. Mathematical Models and Methods in Applied Sciences, 30(02), 309-342 5. Gartland, Jr., E. C. (2018). Scalings and limits of Landau-de Gennes models for liquid crystals: a comment on some recent analytical papers. Mathematical Modelling and Analysis ,23(3), 414-432. 6.Holmes, M. H. (2009). Introduction to the foundations of applied mathematics. Jager, E. M., & Furu, J. F. (1996).The theory of singular perturbations. Elsevier. 8.Rusconi, S., Dutykh, D., Zarnescu, A., Sokolovski, D., & Akhmatskaya, E. (2020). An optimal scaling to computationally tractable dimensionless models:Study of latex particles morphology formation. Computer Physics Communications ,247, 106944. Mon, 16 Nov 2020 00:00:00 +0100