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Problem of factorization and invariants of holomorphic bundles on Riemann surfaces (FR-22-354)


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2023-09-03       End Date: 2026-09-03

Project members:

Talks

  • On Solvability Condition of the Rieman-Hilbert Boundary Problem by Quadratures, by Gia Giorgadze (Speaker), Gega Gulagashvili at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2023, Tbilisi, Georgia.
  • COMPUTATION OF THE DIMENSION OF THE DEFORMATION SPACE OF HOLOMORPHIC STRUCTURES OF THE VECTOR BUNDLES INDUCED FROM THE FUCHSIAN SYSTEM, by Gega Gulagashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2024, Tbilisi, Georgia.
  • COMPUTATION OF THE DIMENSION OF THE DEFORMATION SPACE OF HOLOMORPHIC STRUCTURES OF THE VECTOR BUNDLES INDUCED FROM THE FUCHSIAN SYSTEM, by Gega Gulagashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2024, Tbilisi, Georgia.
  • On approximation of matrix functions and deformation of complex structures of vector bundles, by Gia Giorgadze (Speaker), Gega Gulagashvili at XXXIX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2025, Tbilisi, Georgia.

Publications

  • Gia Giorgadze, Gega Gulagashvili, Giorgi Kakulashvili, DEFORMATION OF COMPLEX STRUCTURES, PARTIAL INDICES OF MATRIX FUNCTIONS, Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 74, 15-25, Tbilisi University Press, 2024.