# RDP online workshop "Recent Advances in Mathematical Physics"

Regio2020
5-6 December 2020
Online
published April 23, 2021

Each year since 2013, the international collaboration "Regional Doctoral Program in Theoretical and Experimental Particle Physics" (until 2018, it was called the "Regional Network in Theoretical Physics"), which comprises different Universities and research institutions in Germany, Georgia and Armenia, organizes a PhD school and an accompanying scientific workshop in Georgia or Armenia. During these years, the event has become popular both among the experienced researchers and the students in a wider region, including -- besides Georgia and Armenia -- also Turkey, Iran, Azerbaijan, Russia and Ukraine. In 2020, due to the problems related with the COVID-19 pandemic, the 8th traditional meeting was held at a smaller scale, in the form of a two-days online workshop "Recent Advances in Mathematical Physics," which took place on December 5 and 6.

The main purpose of the collaboration "Regional Doctoral Program in Theoretical and Experimental Particle Physics" is the implementation of a structured doctoral training in the field of particle physics at the Universities of Georgia and Armenia, bringing the quality of the doctoral education in these countries closer to the standard that are accepted at the leading Universities worldwide. A close collaboration with the German colleagues from the Universities of Bonn, Siegen and Forschungszentrum Jülich, who have rich experience in running such programs, plays a decisive role for the success of the project. This project is funded by the Volkwagenstiftung, with the participation of Shota Rustaveli National Science Foundation (Georgia), the Science Committee of Armenia, Tbilisi State University, Yerevan Physics Institute Yerevan State University and the ICTP (Trieste, Italy).
 Session 1 Lectures on Integrable Systems PoS(Regio2020)001 G. Arutyunov Exactly solvable Hamiltonians in quantum computing PoS(Regio2020)002 G. Giorgadze Session 2 Correlation Functions of Classical and Quantum Artin System defined on Lobachevsky Plane PoS(Regio2020)003 H. Babujian Non-compact Complex Projective Superspaces by Hamiltonian reduction PoS(Regio2020)004 E. Khastyan Universal dimensions of simple Lie algebras and configurations of points and lines PoS(Regio2020)005 M. Avetisyan Superintegrable systems related to truncated Calogero model PoS(Regio2020)006 S. Vardanyan and T. Hakobyan Session 3 Split-Quaternion Analyticity and (2 + 1)-Electrodynamics PoS(Regio2020)007 M. Gogberashvili Split Octonions and Triality in (4+4)-Space PoS(Regio2020)008 A. Gurchumelia and M. Gogberashvili Electric field driven flat bands in S = 1/2 sawtooth chain PoS(Regio2020)009 V. Ohanyan Solitons in normal Fermi liquid PoS(Regio2020)010 G. Peradze Session 4 Electromagnetic knots from de Sitter space PoS(Regio2020)011 O. Lechtenfeld Local quartic interaction of scalars with higher spin gauge fields and commutator of linear gauge transformations PoS(Regio2020)012 R. Manvelyan and M. Karapetyan Session 5 Generating Functional for the S-Matrix in Liouville Theory PoS(Regio2020)013 G. Jorjadze and S. Theisen Helicity and infinite spin representations of the Poincare group in 6D PoS(Regio2020)014 M. Podoinitsyn Bogomolny equations from the Pseudoanalytic Functions Viewpoint PoS(Regio2020)015 T. Supatashvili Computation on conformal moduli of Quadrilaterals PoS(Regio2020)016 I. Shengelia Session 6 N = 2 Calogero models within superfields PoS(Regio2020)017 A. Sutulin New approach to ${\cal N}{=}\,2$ supersymmetric Ruijsenaars–Schneider model PoS(Regio2020)018 N. Kozyrev, O. Lechtenfeld and S. Krivonos SU(2|1) chiral superfields and spinning models PoS(Regio2020)019 S. Sidorov Integrable models with inverse square potential inmaximally symmetric Kähler manifolds PoS(Regio2020)020 H. Shmavonyan