Events

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The main aim of the Summer School is to show how very abstract parts of mathematics, like Geometry, Algebra and Topology (GAT) are nowadays providing new tools and insights in applied areas like Machine Learning, Big Data or Artificial Intelligence. At the same time these areas are posing new challenges to researchers in GAT, and they are even creating new tools that have the potential to change the way the research is traditionally done. The central topic of the school is Topologically Data Analysis, its impact in other areas of research and its emerging applications in real life problems. The school is organized in three courses of 6/7 hours each: the first one introduces the basic framework, while the other two address specific topics in Algebra and in Geometry that are currently growing out of the impulse of TDA. Each course will have two parts, one presenting the mathematical background and another one showing its potential for applications. Participants will be given information in advance on the recommended background for the school and during the school there will be tutorial/discussion hours. The scientific part of the school is complemented with: – few research talks by senior speakers, to illustrate some specific aspects related with them – a poster session, in which willing participants will be able to present their work – an activity open to general public. Consisting on a talk on ethic aspects related to Artificial Intelligence, and a round table with title: From pure research to technological transfer: a new era for mathematics? The courses will be suitable for early PhD students or even Master level students willing to learn on the topic and that may be looking for prospective PhD topics and advisors. It will be a truly international event as speakers and participants will be coming from across the globe (although mostly from Europe) and the summer school is a prelude to the Conference LIGAT.

The Queer in Computational and Applied Mathematics (QCAM) workshop will be the first workshop to celebrate research advances and foster stronger research networks of LGBTQIA+ mathematicians specializing in computational and applied mathematics. Goals of QCAM are to support LGBTQIA+ academics through mentoring and research opportunities, as well as providing a safe space for researchers across the subfields of computational and applied mathematics to connect, collaborate, and build support networks within the field. In addition, QCAM intends to address issues of diversity, equity, and inclusion in mathematics pertaining to LGBTQIA+ people, especially those with intersectional identities. This conference will be open to all and will ideally engage the wider mathematical audience of LGBTQIA+ allies to develop a community of support.

The common denominator of the entire opus of Marko Tadić, and his motivating credo according to his own words, is the seek for simplicity in mathematics, in particular in noncommutative harmonic analysis and representation theory. This inspired the title of the conference, and its topic covers different research areas touched by Tadić on his wonderful mathematical journey. These include the representation theory, unitarizability, Arthur packets, automorphic forms, and applications in arithmetic and geometry. The main goal of the conference is to consider the new developments at the cutting edge of the current research in the field, with emphasis on the discussions of the possible new research directions and innovative approaches to the important problems.

This workshop will bring together mathematicians and physicists in order to explore recent progress and open problems in the field of quantum chaos in many-particle systems. On the one hand, there has been much progress in understanding how such systems approach thermal equilibrium (ETH and beyond) while, on the other hand, examples have been found of systems that violate this phenomenon, e.g., quantum many-body scarring, Hilbert space fragmentation, and anomalous transport. Furthermore, ideas from classical dynamical systems, such as Lyapunov exponents, sensitivity to initial conditions and synchronisation, have intriguing connections with the ideas in hydrodynamics, information scrambling and quantum synchronisation. Meanwhile, the mathematical understanding of quantum chaos, random matrix theory and spectral geometry has seen many important advances in the recent decades. This workshop provides ample opportunities for dialogue in order to bridge the interface between these areas.

We welcome experts and students interested in nonlinear problems of physics and mathematics to take part in this conference that is organised by the editors of the diamond open access journal entitled "Open Communications in Nonlinear Mathematical Physics" (for short, OCNMP). The 5-day conference will consist of oral and poster presentations. An open-door evening session for the general public titled "An Evening of Science and Philosophy" is also planned.

Alexey Bolsinov (Loughborough University, UK). Course title: Nijenhuis geometry and its applications. (to be confirmed). Christian Offen (University of Paderborn) Course title: Geometric Numerical Integration and Backward Error Analysis. Cédric Oms (BCAM, Spain) Course title: The singular Weinstein and the singular Arnold conjecture.

The International Conference on Modern Problems of Mathematics, Mechanics and their Applications (MPMMA 2024) will be held under the organization of the Azerbaijan University of Architecture and Construction and Istanbul Technical University. MPMMA 2024 will provide a forum where researchers from universities and academic environments can meet to share ideas and discuss recent achievements on announced topics.

This is a conference in complex geometry. The scientific root of this event goes back to the seminal works of E. Calabi in the 1950s, who proposed to find a canonical Kähler metric, called extremal, representing a cohomology class of a compact Kähler manifold. Calabi showed that in this setting, the search for extremal Kähler metrics can be reduced to solving a non-linear PDE. A particular example of extremal Kähler metrics are the celebrated Kähler-Einstein metrics whose existence theory is now settled, starting with the resolution of Calabi’s famous conjecture by Aubin and Yau in the 1970s (the non-obstructed case), and culminating in recent times with the resolution of the Yau-Tian-Donaldson (YTD) conjecture in the obstructed Fano case. These efforts motivated a general YTD correspondence, which predicts that the existence of special Kähler metrics should be expressed in terms of a suitable complex-analytic/algebraic notion of stability of the underlying complex/projective variety. The conference will present the recent progress in both analytic and algebraic approaches.

This 3-days workshop delves into the multifaceted world of probabilistic field theories, aiming at sharing insights, presenting novel methodologies, and fostering new collaborations. We plan to gather distinguished experts and young researchers at the intersection of probability theory and field theory, understood in the wide sense encompassing mathematical quantum field theory, stochastic partial differential equations, fluid dynamics and homogenization, also including applications to algebraic field theory, dynamical systems, statistical mechanics, and particle models. Our plan is to hold a meeting combining a few communities in a friendly atmosphere.