19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date: 20 Jun 11:30 - 13:30

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Displaying 3 contributions out of 3
Session: .
The (quantum) van Diejen model is an integrable many-body system defined by a family of mutually commuting analytic difference operators that is known to have hyperoctahedral symmetry in its variables and $E_8$ Weyl group symmetry in its parameters (under certain constraint). In this talk, new generalizations of the van Diejen Hamiltonian - and some exact eigenfunctions - are presented. In parti ... More
Presented by Farrokh ATAI on 20/06/2023 at 09:30
Session: .
The notion of boundary conditions for quad-graph systems will first be introduced. The boundary conditions are naturally defined on triangles that arise as dualization of given quad-graphs with boundary. For three-dimensionally consistent quad-graph systems, the so-called integrable boundary conditions will be characterized as boundary conditions satisfying the boundary consistency condition that ... More
Presented by Dr. Cheng ZHANG on 20/06/2023 at 10:00
Session: .
Integrable maps can be obtained as periodic or open reductions from lattice equations which satisfy consistency conditions. An open reduction (this will be explained in the talk by Cheng Zhang) from Q1_0 was decomposed as a composition of Manin involutions on each curve of the invariant pencil. However, one of the involution points appeared to be curve-dependent....
Presented by Dr. Peter VAN DER KAMP on 20/06/2023 at 10:30
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