Events

MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems, February 2022 Joint Symposium, 7 - 18 February 2022 Week 1 (7 - 11 Feb): Online via Zoom Week 2 (14 - 18 Feb): On-site at MATRIX, Creswick (via invitation) The research symposium explores Nijenhuis geometry and uses it as a link connecting finite and infinite dimensional integrable systems. We shall use the methods and results of infinite dimensional integrable systems to attack famous conjectures in the theory of finite-dimensional integrable systems, in particular concerning existence, description and classification of polynomially integrable geodesic flows on the torus and on the sphere. We will employ recent advances in projective geometry and the theory of separation of variables to construct and study new examples of multicomponent integrable systems. While Riemannian and Poisson geometries have been very well studied, Nijenhuis geometry is a relatively new research area. In the first online week of the workshop, an introduction to Nijenhuis geometry will be given. We will present a general research programme in the area and will show that it is realistic by presenting first nontrivial easy-to-formulate results. We will discuss milestones of the theory, open problems, and sketch possible applications. Co-Chairs: Alexey Bolsinov works as a Reader in Mathematics at Loughborough University. His research results include the discovery of a new phenomenon in dynamical systems known as integrable chaos, theory of orbital classification for integrable two-degrees-of-freedom systems, loop molecule method in topology of integrable systems and new classes of holonomy groups and symmetric spaces in pseudo-Riemannian geometry. Under his supervision, 18 PhD students successfully completed their research projects, many of them continue their academic careers in USA, Russia, Brazil, Germany and China. Vladimir Matveev is a Chair of Mathematics at the University of Jena. He has solved a number of major open problems in several areas of Difierential Geometry and in the theory of Integrable Systems including two problems explicitly posed by Sophus Lie in 1882, the projective Lichnerowich conjecture and c-projective Yano-Obata conjecture. He constructed two new examples of natural integrable Hamiltonian systems on closed surfaces, Dullin-Matveev and Matveev-Shevchishin systems. Event Organisers: Emma Carberry (University of Sydney), Holger Dullin (University of Sydney), Vladimir Matveev (University of Jena) Online registration: (register once for all week 1 lectures) uni-sydney.zoom.us/meeting/register/tZcpcuygrzktGdHKkZeeZLInZ1NsT14ahCRW

Fluid mechanics is one of the classical areas in the study of Partial Differential Equations and has been a vast subject of research in the last centuries. The school intends to promote scientific exchange between leading experts and young researchers in fluid mechanics and possible future directions of research of this area. In particular the key topics to be covered are the analysis of both compressible and incompressible fluids (Euler flows, Navier-Stokes equations, MHD equations), free-boundary interface equations (water waves, Muskat problem) and other associated model equations. This Hausdorff school is mainly directed to graduate and postdoctoral students who want to get acquainted with the recent developments and new directions in this field. There will be three courses and some invited lectures by experts in the field.

The aim of this meeting is to bring together leading experts working in the field of Singularity Theory and Geometry, with spillovers and applications to related topics. By exploring the synergies sitting at the intersection of those areas we expect to unveil new directions of research and to foster new collaboration networks, relevant to the local community. The target audience comprises graduate students, young and senior researchers working in the field.

We are happy to announce that a Winter School "Foliations, pseudodifferential operators and groupoids" will be held at University of Göttingen from 29. February to 4. March 2022. There will be 3 lectures given by : Claire Debord, Institut de Mathématiques de Jussieu - Paris Rive Gauche, Madeleine Jotz, Universität Würzburg, Victor Nistor, Université de Lorraine. We will also have problem and question sessions led by Iakovos Androulidakis (University of Athens). We kindly ask you to bring this to the attention of interested PhD students and postdocs. This Winter School is funded by the Research Training Group 2491. Partial financial support is available to cover the accommodation of some participants. You can find updated information and the registration link on the webpage of the event: https://www.uni-goettingen.de/rtg2491/winterschool On behalf of the organizers, Jérémy Mougel, Leonid Ryvkin, Thomas Schick.

In the second edition of this School – which follows the 2021 online first edition – we aim to bring together experts from different communities to cover the investigation of diffusive systems from several viewpoints: analytically, combining methods and techniques from partial differential equations and dynamical systems to derive and analyse mathematical models for the applied phenomena; numerically, reviewing the most recent techniques and software for the computation of bifurcation diagrams and continuation with respect to the systems’ parameters; and, last but not least, from the applied - in particular biological – viewpoint, since a constant exchange of knowledge between the theoretical investigations and the experimental data is crucial in advancing research in this area.

Discrete mathematics is a branch of the mathematical sciences which poses a wide range of challenging research problems in its own right and gives rise to important applications in other fields. This 3rd IMA conference on discrete mathematics, following on from the previous two at Derby, will consider a range of aspects of discrete mathematics, both pure and applied. It is open to researchers working with mathematical structures and abstract constructs, and to those involved in the theory and practice of discrete mathematics. Results which establish links between different areas of discrete mathematics are welcomed, as are applications and the development of new tools. The purpose of this event is to highlight progress in the field through the development of novel theories, methodologies, and applications accordingly, and to inspire future work.

The main aim of the Conference is to present new theoretical and methodological results and significant applications in Insurance and Finance by means of the capabilities of the interdisciplinary mathematical-statistical approach. The Steering Committee of the Conference would appreciate very much if you could collaborate in the success of the conference by participating in some activities such as the organization of sessions and/or the presentation of contributions (also through a co-author).

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering.