(Hyper)Complex Function Theory, Dolbeault Cohomology, Fractals, and Physics
23 - 30 July, 2011, Będlewo
The seminar was organized by Banach Center and University of Łódź.
The main topics of the seminar were:- influence of the Lvov School on generalizations of Complex Analysis (CA) and on General Physical Ideas (GPI),
- influence of the Łódź – Paris VI direct cooperation agreement (since 1986) on our results in CA and GPI,
- regression, complex and para-quaternionic approximation for crystals, semiconductors, and nanoparticles in nanowires,
- para-quaternionic, Clifford-geometrical, Randers-Ingarden, and fractal structures vs. surface and optical properties of crystals,
- Clifford, Jordan, and Ingarden geometry in teleparallel equivalents of general relativity and in quantum information theory.
Organizing Committee
- Pierre Dolbeault (Paris),
- Ralitza Kovacheva (Sofia),
- László Kozma (Debrecen),
- Julian Ławrynowicz (Łódź),
- Dariusz Partyka (Lublin),
- Hariton Polatoglou (Thessaloniki),
- Waldyr A. Rodrigues, Jr. (Campinas, SP)
List of lectures
- Address dedicated to Professor Pierre Dolbeault (prof. Zofia Wysokińska, Łódź)
- Submanifolds of para-quaternionic manifold (prof. Massimo Vaccaro, Rome)
- Twistor theory for CR quaternionic manifolds and related structures (prof. Stefano Marchiafava, Rome)
- Introduction of the $\overline\partial$-cohomology (prof. Pierre Dolbeault, Paris)
- Taylor expansion and Sobolev spaces (prof. Bogdan Bojarski, Warsaw)
- Report on mathematics and physics in Kazan (prof. Evgeny Yashagin, Kazan)
- Obituary: Roman Stanislaw Ingarten († July 12, 2011) (prof. László Kozma, Debrecen; Julian Ławrynowicz, Łódź and Lajos Tamássy, Debrecen)
- Problems in hypercomplex analysis over some matrix hypercomplex systems (prof. Lilia N. Apostolova, Stancho Dimiev and Peter Stoev, Sofia)
- A procedure allowing to decrease the number of terms in a quaternionic polynomial and to check whether two given quaternionic polynomials are identically equal (dr Dmytro Merzheyevskyy, Zhytomyr)
- About motion and hypercomplex algebras (dr Alena Khmelnitskaya, Kazan)
- Atomic Force Microscopy (AFM) and nanotechnology (prof. Hariton Polatoglou, Thessaloniki)
- Study and use of noise for the AFM cantilever response in time and frequency domain (prof. Hariton Polatoglou and mgr Demetra Georgakaki, Thessaloniki)
- Synchronous and asynchronous regression structures I (prof. Dariusz Partyka, Lublin and Chelm)
- Synchronous and asynchronous regression structures II (prof. Dariusz Partyka, Lublin and Chelm)
- Surface relaxation in binary alloys in Valenta-Sukiennicki model vs. the experimental data (mgr Malgorzata Nowak-Kępczyk, Radom)
- Linearly convex complex analysis (prof. Yuri Zelinskiĭ, Kyiv)
- Is torsion needed in a theory of gravity?- A critical review (prof. Janusz Garecki, Szczecin)
- Some extremal problems in nonoverlapping domains with free poles (mgr Iryna Denega, Kyiv)
- Model of coupled harmonic oscillators in Zwanzig-type chains (mgr Agnieszka Niemczynowicz, Olsztyn)
- Internal and space-time symmetries vs. quaternions and octonions (prof. Kazimierz Jezuita, Warsaw)
- Structure fractals and para-quaternionic geometry (prof. Julian Ławrynowicz, Łódź)
- On quaternionic analysis applied to force-free magnetic firlds with a non-constant proportionality factor (dr Rodrigo Gómez Mendoza, México)
- Biomechanics given from first principles (mgr Krzysztof Pomorski, Cracow and dr Przemyslaw Prokopow, Warsaw)
- Transport properties of the firld induced Josephson functions (mgr Krzysztof Pomorski, Cracow and dr Przemyslaw Prokopow, Warsaw)
- The problem of regression for the Hilbert space-valued functions (mgr Marek Stojecki, Chelm)
Participants
- Lilia N. Apostolova (Sofia)
- Bogdan Bojarski (Warszawa)
- Iryna Denega (Kyiv)
- Stancho Dimiev (Sofia)
- Pierre Dolbeault (Paris)
- Janusz Garecki (Szczecin)
- Demetra Georgakaki (Thessaloniki)
- Rodrigo Gómez Mendoza (México, D.F.)
- Kazimierz Jezuita (Warszawa)
- Alena Khmelnitskaya (Kazan)
- László Kozma (Debrecen)
- Julian Ławrynowicz (Łódź)
- Stefano Marchiafava (Roma)
- Dmytro Merzheyevskyy (Zhytomyr)
- Agnieszka Niemczynowicz (Olsztyn)
- Małgorzata Nowak-Kępczyk (Radom)
- Dariusz Partyka (Lublin/Chełm)
- Hariton Polatoglou (Thessaloniki)
- Krzysztof Pomorski (Kraków)
- Przemyslaw Prokopow (Warsaw)
- Peter Stoev (Sofia)
- Marek Stojecki (Chełm)
- Lajos Tamássy (Debrecen)
- Massimo Vaccaro (Roma)
- Zofia Wysokińska (Łódź)
- Evgeny Yashagin (Kazan)
- Yuri Zelinskii (Kyiv)