Institut for Nuclear Research and
Nuclear Energy INRNE |
Institute of Mathematics
and Informatics
IMI |
---|---|

Bulgarian Academy of Sciences |

**AUGUST 25, IMI **

8:30 – 9:00 **REGISTRATION**

9:00 – 9:20 **OPENING**

Chairman S. Dimiev - Complex Structures and Differential Operators

9:20 – 10:00 **K. Sekigawa** Tangent sphere bundles of constant radii

10.00-10.40 **P. Popivanov** Hypoellipticity, solvability, subellipticity and solutions with stationary singularities of pseudodiﬀerential operators with symplectic characteristics

**10:40 – 11:00 Coffee break **

11:00 -11:40 **H. Hashimoto** Deformations of almost complex structures of hypersurfaces of purely imaginary octonions

11:40 -12:20 **T. Adachi** A discrete model of K¨ahler magnetic ﬁelds on a complex space form

12:20 -13:00 **H. Matsuzoe** Some generalizations of statistical manifolds

Chairman: K. Sekigawa Complex and Algebraic Structures

15:00 -15:40 **I. P. Ramadanoff** Monogenic, hypermonogenic and holomorphic Cliﬀordian functions

15:40 -16:20 **J. Lee, J. H. Park, K. Sekigawa** Four-dimensional TV Bochner ﬂat almost Hermitian manifolds

**16:20 -16:40 Coffee break **

16:40 -17:20 **Y. Christodoulides** Herglotz functions and spectral theory

17:20 -18:00 **S. Maeda** A characterization of Clifford minimal hypersurfaces in terms of their geodesics

18:00 -18:40 **M. J. Hristov** Some geometric properties and objects related to B´ezier curves

**AUGUST 26, INRNE **

**Chairman: P. Popivanov - Integrability and Vector Fields **

9:00 – 9:40 **N. A. Kostov, A. V. Tsiganov** Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure

9.40-10.20 **R. I. Ivanov** Integrable models for shallow water waves

10:40 – 11:00 Coffee break

10:20 -10:40 **D. Henry **Persistence of solutions for some integrable shallow water equations

10:40 -11:20 **T. Valchev** New integrable equations of MKdV type

11:20 -12:00 **G. G. Grahovski** On Nonlinear Schr¨odinger Equations on Symmetric Spaces and their Gauge Equivalent

**Chairman: T. Adachi
- Integrability and Differential Geometry**

15:00 -15:40 **V. S. Gerdjikov, N. A. Kostov** On multicomponent evolution equations on symmetric spaces with constant boundary conditions

15:40 -16:20 **V. M. Vassilev, P. A. Djondjorov, I. M. Mladenov** Integrable dynamical systems of the Frenet-Serret type

**16:20 -16:40 Coffee break **

16:40 -17:20 **M. Kokubu** On differential geometric aspect of ﬂat fronts in hyperbolic 3-space

17:20 -18:00 **V. A. Atanasov, R. Dandoloff, R. Balakrishnan** Geometry-induced quantum potentials and qubits

**AUGUST 27: EXCURSION **

**AUGUST 28, INRNE**

** Chairman: N. Kostov - Differential Geometry and Quantum Mechanics**

9:00 – 9:40 **D. A. Trifonov** Pseudo-Hermitian fermion and boson coherent states

9.40-10.20 **L. Stepien** On some classes of exact solutions of eikonal equation

**10:20 – 10:40 Coffee break **

10:40 -11:20 **P. Djondjorov, V. M. Vassilev, I. M. Mladenov** Plane curves associated with integrable dynamical systems of the Frenet-Serret type

11:20 -12:00 **B. Z. Iliev **Heisenberg relations in the general case

12:00 -12:40 **S. H. Chun, J. H. Park, K. Sekigawa** Tangent sphere bundles with eta-Einstein structure

**Chairman: R. Dandoloff
- Differential Geometry and Complex Structures**

15:00 -15:40 **T. Koda** On a variation of the *-scalar curvature

15:40 -16:20 **G. Dimitrov, V. Tsanov** Complex structures related to SL(3)

**16:20 -16:40 Coffee break **

16:40 -17:20 **J. Lawrinowicz, M. Novak-Kepcryk, O. Suzuki** Mathematical outlook of fractals and chaos related to simple orthorhombic Ising-Onsager-Zhang lattices

17:20 -18:00 **S. Dimiev, M. S. Marinov, J. Jelev** Cyclic hypercomplex systems

**AUGUST 29, IMI **

**Chairman: H. Hashimoto - Complex Structures and Vector Fields **

9:00 – 9:40 **S. Donev, M. Tashkova** On some Strain-Curvature relations on Minkowski space-time

9.40-10.20 **M. Manev, M. Teoﬁlova** On the curvature properties of real time-like hypersurfaces of K¨ahler manifolds with Norden metric

**10:20 – 10:40 Coffee break **

10:40 -11:20 **B. L. Aneva** Exact Solvability from boundary algebra

11:20 -12:00 **L. Apostolova, S. Dimiev** Double-complex Laplace operator

12:00 -12:40 **G. Nakova** Some submanifolds of almost contact manifolds with Norden metric

**Chairman: V. Gerdjikov
- Complex Structures and Vector Fields**

15:00 -15:40 **Y. Euh, J. H. Park, K. Sekigawa** Nearly K¨ahler manifolds with vanishing TV Bochner curvature tensor

15:40 -16:20 **M. Teoﬁlova** Almost complex connections on almost complex manifolds with Norden metric

**16:20 -16:40 Coffee break **

16:40 -17:20 **A. Petrov** Ten reasons for pursuing multi-commutative quantum theories

17:20 -18:00 **CLOSING**