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The goal of this conference to consolidate and disseminate new developments in Geometry and Physics. The list of participants includes: Maxim Kontsevich, Institut des Hautes Études Scientifiques, France, Phillip Griffiths, Institute for Advanced Study, Karim Adiprasito, University of Copenhagen, Denmark, Vivek Shende, Centre for Quantum Mathematics, Syddansk Universitet, Denmark, Jørgen Ellegaard Andersen, University of Southern Denmark, Denmark, Oscar García-Prada, Instituto de Ciencias Matemáticas (ICMAT), Spain, Kenji Fukaya, Simons Center for Geometry and Physics at Stony Brook, USA, Mina Teicher, Bar-Ilan University, Israel, Robert Stephen Cantrell, University of Miami, USA, Yong-Geon Oh, IBS Center for Geometry and Physics, Korea, Ernesto Lupercio, Cinvestav-IPN, México, Tony Pantev, University of Pennsylvania, USA, Ludmil Katzarkov, University of Miami, USA and Institute of Mathematics and Informatics, Bulgaria, Meral Tosun, Galatasaray University, Turkey.

This workshop will be devoted to discussing important and timely problems concerning the application of exact mathematical methods to conventional integrable systems and to the gauge/string models, e.g., to extend current methods for calculating finite-volume matrix elements of operators, to construct a finite version of the hexagon form factor expansion for short operators, to extend the methods of the thermodynamic Bethe Ansatz to world-sheets of higher topology and to all sorts of boundaries and defects, etc.