Events

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.

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.

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

Turkish Journal of Mathematics is seeking proposals for a mathematics webinar to be held on 1–3 February 2022. Researchers are strongly encouraged to focus on geometry, algebra, and applied mathematics and their related topics. The aim of this webinar is to create an environment where scientists from different fields (algebra, geometry, and applied mathematics) from all over the world can share their great experiences and, at the same time, raise awareness of career opportunities available to postgraduate students/graduate fellows and researchers. Therefore, this event aims to discuss vigorously the hottest and interdisciplinary topics in the related fields of mathematics at advanced and engaging levels.

The goal of the school is to present recent results in differential geometry related to PDEs, mathematical physics, and beyond. Lectures: Hamiltonian Fluid Dynamics; Continuum Mechanics of Media with Inner Structure; Introduction to Geometric Hydrodynamics; Fractalization and Quantization in Dispersive Systems; Symmetry, invariance, and equivalence in image processing; Introduction to Hamiltonian Mechanics, Monge–Ampère Geometry and the Navier–Stokes Equations.

MATRIX-SMRI Symposium: Singularities in Geometric Flows: An Ancient Perspective Joint Symposium, 3 – 14 January 2022 Week 1: On-site at MATRIX, Creswick (via invitation) Week 2: Online via Zoom The symposium will focus on exciting recent developments in the analysis of geometric flows via soliton and ancient solutions, centred around talks by William P. Minicozzi II (Massachusetts Institute of Technology) and Nataša Šešum (Rutgers University). William P. Minicozzi II is the Singer Professor of Mathematics at MIT. Throughout an enduring collaboration with Tobias H. Colding, he has resolved a number of major open problems in several areas of geometric analysis. Colding and Minicozzi received jointly the AMS Oswald Veblen Prize in Geometry in 2010 for major breakthroughs on the structure of embedded minimal surfaces. He gave an invited address at the International Congress of Mathematicians in 2006. Nataša Šešum has made a number of groundbreaking contributions to the analysis of singularities in geometric evolution equations. Her remarkable work with Angenent, Daskalopoulos and others provide the first general classification results for ancient solutions. Nataša was an invited speaker at the International Congress of Mathematicians in 2014. In 2015 she was elected as a fellow of the American Mathematical Society. The symposium will also feature thematic online lecture sessions, on-site discussion workshops and online open problem sessions with the chairs. The first week’s program will take place on-site at MATRIX, Creswick and the second week’s program to be held online - register here https://uni-sydney.zoom.us/meeting/register/tZ0kf-usqDgrHd12jliaw4SWsnR5XhpT5tie.

Cryptography and coding theory play an essential role in the provision of effective security and reliability for data communication, processing and storage. This eighteenth International Conference in an established and successful IMA series on the theme of "Cryptography and Coding" encompasses applied aspects of these fields as well as the mathematical theory that underpins them.

speaker: Valentin Blomer, Bonn

The ninth annual Workshop on Integrable Systems will be held on 2-3 December, 2021. This workshop brings together speakers on topics such as integrable systems, special functions, mathematical physics, discrete dynamical systems, and Painlevé equations. If restrictions allow, the workshop will be held in a hybrid format to accommodate online and in-person participation. Please complete the online registration form at your earliest convenience and there is no registration fee to attend. Zoom links will be sent to all registered participants. Tentative list of Speakers: Reinout Quispel (La Trobe) Vladimir Bazhanov (ANU) Yang Shi (Flinders) Harini Desiraju (MSRI) Emma Carberry (USyd) Holger Dullin (USyd) Ralph Willox (University of Tokyo) John Roberts (UNSW) Peter Van Der Kamp (La Trobe) Wolfgang Schief (UNSW) Sarah Post (University of Hawaii) Website link: https://www.maths.usyd.edu.au/u/integrable/index.html Registration link (also on website): https://forms.office.com/r/xJgm2BmA1P

The 16th Young Researchers Workshop in Geometry, Mechanics, and Control is a yearly event to promote young researchers in the field of differential geometry and its relations to mechanics and control theory. The 16th edition will take place in Barcelona. This event offers researchers in the field, especially to the younger participants, a platform to share their latest results to an international audience and discuss current topics. The workshop will contain three mini-courses in key topics in the field, selected talks proposed by the participants and a poster session.