Piotr Kielanowski - Geometric Methods in Physics XXXVIII: Workshop, Białowieża, Poland, 2019

Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference.

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The Workshops on Geometric Methods in Physics (WGMP) were established in 1982 by Anatol Odzijewicz and they have been running yearly without interruption ever since under the sponsorship of the University of Biaystok.

This volume contains original scholarship based on the talks presented at the Thirty-Eighth Workshop (June 30July 6, 2019); the posters presented; and the Eighth School on Geometry and Physics, which immediately preceded the workshop. The schools were created in 2012, to precede or follow the workshops, so as to offer an introductory series of lectures on cutting-edge areas of research related to the workshop themes. The materials of recent WGMPs, such as program, abstracts of the talks and lectures, and participants lists, are posted on the website: http://wgmp.uwb.edu.pl . The website includes bibliographical information on the proceedings volumes for each year.

Each workshop comes with main themes; in 2019, the themes were Integrable Systems, Classical and Quantum Field Theories, Quantum Information, Lie Groupoids and Lie Algebroids, and Poisson Geometry. The schools lecturers have each contributed an extended abstract.

The WGMP has played an exceptional role in bringing together the two communities of mathematicians and physicists. The workshop has grown from its original contingent of mainly eastern-European scholars, to widely international, with participants from several continents in 2019.

The venue plays no small role in fostering a close-knit, intense experience: situated in the Biaowiea Forest, a UNESCO World Heritage Place, the village hosts the participants in two small hotels and a variety of other local accommodations with hospitality and customs providing the background for communal outings, bear and bison sightings, evenings around campfires, and afternoons of discussion where new collaborations are established and old ones come to fruition. The plenary lectures, talks, and poster sessions take place in the Nature and Forest Museum, the oldest museum in the Polish national parks; the schools lectures take place in an Open-air Museum of Wooden Architecture of the Russian People of Podlasie (in Polish: Skansen Architektury Drewnianej Ludnoci Ruskiej Podlasia).

We hope that this collection of articles may provide the readers with an overview of the latest knowledge in a wide variety of areas, as well as stimulate interest in the threads represented by the schools lecture series.