Thailand

<div class="tex2jax_process">Arithmetic geometry lies in the intersection of number theory and algebraic geometry. It involves studying geometric objects such as curves or varieties through an arithmetic lens, e.g. via their rational points. As a research area, it dates back to classical questions such as those in Diophantine geometry, and yet continues to develop rapidly in the modern mathematical context. It is wide in scope, using a variety of techniques from algebraic geometry, algebraic and analytic number theory, and computational mathematics.

This collaborative workshop will consist of 9 research groups under the supervision of an expert working on recent research developments in analysis, modeling, data analysis, number theory, and scientific computing, with applications to real-world problems.

In your motivation letter, please say at the beginning in which group you want to work.

The main aim of the school is to offer to the audience a broad introduction to the metric aspects of non-commutative geometry with a more specific focus on spectral geometry in the language of A.Connes’ spectral triples, their several variants (in quantum groups and in modular theory) and their important applications in mathematics (spin geometry, index theory, number theory) and physics (quantum mechanics, quantum field theory, quantum gravity).

The primary aim of this research school is to give an introduction to the theory of graphs, codes, and designs with the major focus on the relationship between these three areas. For instance how techniques in graph theory and design theory can be used in the construction of error – correcting codes.

The second aim is to provide an introduction to current research topics in graphs, codes, and designs. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems will be highlighted and discussed in some detail.

The area of the school will be mathematical analysis, modeling, data analysis, scientific computing to address real problems in medicine and health sciences. Our goal is to prepare students and researchers for the concrete problems arising from mathematical modeling in medicine, which may arise particularly in South-East Asia.