Correlation functions of quantum integrable systemsdedicated to 75th anniversary of Anatoli IzerginJune 812, 2020Euler International Mathematical Institute, St. Petersburg, Russia  

The quantum integrable systems are represented by models of the quantum mechanics (onedimensional Bose and Fermigases, the Heisenberg spin chain, the Hubbard model, etc) as well as by models of the statistical mechanics (vertex model, dimers models, loop models, etc). They share the property to be closely related to the quantum YangBaxter relation, which ensures their integrability. While the subject of quantum integrable systems is widely recognized as a part of modern mathematical physics, it also intimately connected with other branches of mathematics, such as geometry, analysis, probability, combinatorics, as well as other branches of physics, such as condensed matter physics, quantum field theory, conformal field theory, quantum quench theory, and many others. Correlation functions play an important role in the study of quantum integrable systems. Their exact evaluation is of primary interest due to quantum integrability, which makes this task feasible. In solution of the problem many significant achievements were made recently. The present conference is devoted to share new results and ideas which can make an impart on further development of the subject. The event is dedicated to 75th anniversary of Anatoli Georgievich Izergin (19451999), who made a significant contribution to the theory of quantum integrable models. The conference is supported by Grant PSG 1250 ( RussianSwiss research grant) and financial support by Chebyshev laboratory (SPbGU). 