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КартаВръзкиТемиБългарияНощта (K-TRIO)Мария Склодовска-КюриЗа ученициЗа учителиМетодологияИзненадай ме
H2020Обмен на изследователи2016–2019

QUANTUM DYNAMICS · New Geometry of Quantum Dynamics

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период
2016-01-01 → 2019-12-31
Финансиране от ЕС
288 000 €
Участници
21
Схема
MSCA-RISE

Линиите свързват координатора с партньорите.

Накратко на български

Квантовите пространства се анализират чрез тяхната геометрия, симетрия и структура, като се използват математически инструменти като операторната теория. Това помага за по-доброто разбиране на фундаменталните свойства и измерванията в квантовия свят.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

New Geometry of Quantum Dynamics

The main objectives of the project concern the classification, symmetry, structure and noncommutative metric geometry of quantum spaces. The innovation in our approach comes from our combination of ideas from many fields of research such as: operator theory, metric topology and differential geometry, classification theory of C*-algebras, path algebras and Hopf algebras. All of the aforementioned main objectives have been successfully implemented to the satisfactory extent. A detailed description of our research progress sectioned into five work packages is provided below. The interplay between our scientifically adjacent but distinct work packages yielded innovative and original ideas, as expected. For instance, new equivariant dimensions introduced within WP 1 were applied in computations in WP 3.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

The Project aims to make significant advances to the field of noncommutative geometry by developing new methods through substantial interaction within sub-fields of noncommutative geometry and two other areas of pure mathematics. The main focus will be to determine the topological non-triviality of new types of quantum fibrations. Also, we aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz-norm and Dirac-operator approaches. The Project will combine various areas, which although interacting on the fundamental level, have had their concrete and usable connections mostly unexplored. The success of the Project depends on connecting centres of excellence in relevant topics for the exchange of ideas and and production of high-quality collaborative results. The network has been carefully chosen to include the world's leading experts as well as promising early career researchers. Not only does this guarantee the participants access to an enormous knowledge base, it will also ensure that new and innovative lines of research will continue to be developed long after the Project has finished.In particular, the collaborative nature of the project will be of great benefit to the early career researchers involved. In pure mathematics, fields often become so specialised that only a small number of people around the world might be actively researching a particular topic. This can make career progression very difficult. The interdisciplinary nature of the Project will expose the participants to a host of new mathematics and new collaborations. Consequently, this diversification will result in significantly more career opportunities than would otherwise be available.

Оригинален текст от CORDIS (на английски).

Участници

Връзки

Данни: CORDIS, © Европейски съюз