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The Czech Republic and JINR. Long-Term Fruitful

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18<br />

Prof. Jiří Niederle is a famous <strong>Czech</strong><br />

specialist in mathematical <strong>and</strong> particle<br />

physics. J.Niederle was very welcomed<br />

in Dubna, especially in the Bogoliubov<br />

Laboratory of <strong>The</strong>oretical Physics, by his<br />

colleagues <strong>and</strong> friends.<br />

<strong>The</strong> mainstream of nuclear studies at low energies during the nearest decade will be<br />

the properties of nuclei far from the valley of stability, i.e. the nuclei where the ratio of proton<br />

to neutron numbers is anomalously small or large. <strong>The</strong> Flerov Laboratory-based project<br />

DRIBS as well as several already established or planned experimental projects in Europe,<br />

United States <strong>and</strong> Japan have as their main goal the study of unstable nuclei. To support<br />

experimental efforts, theoretical studies will be developed in the same direction.<br />

<strong>The</strong> major focus of the theoretical research program in forthcoming years is the<br />

analysis of the above-mentioned strongly correlated electron systems which involve the<br />

investigation of novel cooperative phenomena, new forms of order, low-dimensional<br />

magnetism <strong>and</strong> quantum criticality.<br />

Extensive experimental investigations of these materials performed by neutron<br />

scattering methods at the Laboratory of Neutron Physics at <strong>JINR</strong> also strongly motivate the<br />

development of theoretical investigations in the field. <strong>The</strong> main goal of the planned<br />

investigations during the next several years is to perform “realistic” calculations, by applying<br />

advanced theoretical methods, of various response functions measured in experiments that<br />

might illuminate the complicated interplay between electronic structure, magnetic <strong>and</strong><br />

transport properties of the considered systems.<br />

An exhaustive study of Superstring <strong>The</strong>ory in different regimes requires search for<br />

classical <strong>and</strong> quantum superstring solutions, detailed investigation of the l<strong>and</strong>scape of<br />

superstring vacua, application of modern mathematical methods to the fundamental problems<br />

of supersymmetric gauge theories, development of microscopic description of black hole<br />

physics, elaboration of cosmological models of the early Universe. Further development of<br />

the theory of classical <strong>and</strong> quantum integrable systems, quantum groups <strong>and</strong> supergroups,<br />

noncommutative geometry will play a crucial role in these integrated investigations in the<br />

forthcoming seven years.<br />

Recent publications of BLTP <strong>and</strong> <strong>Czech</strong> scientists<br />

1. A.V. Efremov, P. Schweitzer, O.V. Teryaev, P. Zavada (Prague), “<strong>The</strong> relation<br />

between TMDs <strong>and</strong> PDFs in the covariant parton model approach.”e-Print:

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