info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Riemann-Hilbert problems on Riemann surfaces and invariants of holomorphic bundles (FR17-96)


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2017-01-31       End Date: 2020-01-30

Project members:

Talks

  • Analytic differential equations on plane and equilibria of point charges., by Gia Giorgadze (Speaker) at 20st international workshop on computer algebra. JINR, Dubna, Russia, 2018, Dubna, Russia.
  • Some properties of generalized singular Coushy-Riemann systems, by Gia Giorgadze (Speaker) at 12st ISAAC Congress, Aveiro University, Portugal, 2019, Aveiro, Portugal.
  • On the partial indices of piecewise matrix functions, by Gia Giorgadze (Speaker) at Factorisation of matrix functions: New techniques and applications, 2019, Cambridge, UK.
  • On the problem of computation the partial indices of matrix. , by Gia Giorgadze (Speaker), Gega Gulagashvili at 21st International workshop on Computer algebra. JINR, Dubna, Russia, 2019, Dubna, Russia.
  • On the algorithm for computation of partial indices of a piecewise constant matrix function. , by Gia Giorgadze (Speaker) at 22nd Workshop on Computer Algebra (Online) JINR, Dubna, Russia , 2021, Dubna, Russia.

Publications

  • Gia Giorgadze, On the structure of the space of generalized analytic functions, Bull. Georg. Natl. Acad. Sci 12 (4), Georgian National Academy of Sciences, 2018.
  • Giorgi Akhalaia, George Giorgobiani, Gega Gulagashvili, The analysis of vortex equations using methods of generalized analytic function, Bulletin of TICMI, 22 (2), 135-141, Tbilisi University Press, 2018.
  • Giorgi Akhalaia, Gia Giorgadze, Giorgi Makatsaria, Nino Manjavidze, Deformation of Complex Structures and Boundary Value Problem with Shift, Analysis as a Life, Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday, Part of the Trends in Mathematics book series (TM), Birkhäuser, 1-17, Springer, 2019.
  • Gia Giorgadze, Gega Gulagashvili, Riemann-Hilbert Boundary Value Problem with Piecewise Constant Transition Function, Journal of Dynamical and Control Systems, 1-11, Springer, 2020.
  • Gia Giorgadze, Giorgi Khimshiashvili, On three point charges on a flexible arc, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., vol.177, p. 63-68, Steklov Mathematical Institute RAS, 2020.
  • Gia Giorgadze, Gega Gulagashvili, On the splitting type of holomorphic vector bundles induced from regular systems of differential equation, Georgian Mathematical Journal, 29(1): 25–35, Walter de Gruyter GmbH, 2022.