The book consists of articles based on the XXXVIII Bia?owie?a Workshop on Geometric Methods in Physics, 2019. The series of Bia?owie?a workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Bia?owie?a Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstra ts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Bia?owie?a forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. ?Piotr Kielanowski is a Professor at the Center for Research and Advanced Studies at the National Polytechnic Institute in Mexico City. He received his Ph.D. from the University Warsaw, specializing in elementary particle theory. His research focuses on exact results in theoretical physics, particularly the phenomenology of the Standard Model and the rigged Hilbert space extension of quantum mechanics. He has co-authored a book on quantum mechanics, and published extensively in scientific journals. He climbed Popocatépetl when it was inactive, and when time permits, he visits his treasured Tatra Mountains in Poland.
Anatol Odzijewicz holds a Ph.D. in Mathematical Physics from the University of Warsaw. He then joined the University of Bia?ystok in Poland, where he is now a Professor at the Department of Mathematics. His research focuses on geometric methods of quantization and the theory of integrable systems with applications to classical and quantum optics, and he has published in leading mathematics and physics journals. In 1982, he began the series of Workshops on Geometric Methods in Physics, held annually each summer in Bia?owie?a, Poland, which have become an important international gathering point for physicists and mathematicians. He was also a founder of the Open-Air Museum of Wooden Architecture in Bia?owie?a, which illustrates the historical daily lives of Russian people in the Podlaskie region.
< iv> Emma Previato is a Fellow of the American Mathematical Society (inaugural class 2012) and a Professor of Mathematics at Boston University, USA. Previato earned her Ph.D. in Mathematics from Harvard University, with a dissertation on integrable PDEs based on classical algebraic geometry and special functions. Her research has been published in over 80 journal articles, and includes methods of algebraic geometry, differential algebra, Hamiltonian mechanics, PDEs, and information theory. She is the (co-)editor of five books. |
