Due to the global pandemic situation of the COVID-19 virus it was decided to conduct the Conference in web format. Those who are interested in participation should sent an e-mail to giq@bio21.bas.bg with subject: GIQ'2020

If you want to download the poster please click here.

History  This conference can be considered a continuation of previous meetings on Geometry and Mathematical Physics which took place in Bulgaria - Zlatograd (1995) and Varna (1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 and 2019).

    • "Geometry" in the title refers to modern differential geometry of real and complex manifolds with some emphasis on curves, sigma models and minimal surface theory,
    • "Integrability" to either the integrability of complex structures or classical dynamical systems of particles, soliton dynamics and hydrodynamical flows presented in geometrical form, and
    • "Quantization" to the transition from classical to quantum mechanics expressed in geometrical terms.

The overall aim is to bring together experts in Classical and Modern Differential Geometry, Complex Analysis, Mathematical Physics and related fields to assess recent developments in these areas and to stimulate research in related topics.

Place   The Conference will take place in a stimulating environment, which combines a virgin natural landscape with tourist comfort and the unexpected neighbourhood of an ancient historical past. All this in a splendid part of the northern Bulgarian Black Sea coast in the vicinity of Varna.

Organizing Committee   Ivaïlo M. Mladenov (Sofia), Vladimir Pulov (Varna), Rutwig Campoamor-Stursberg (Madrid) and Akira Yoshioka (Tokyo)

Advisory Committee    Valeri Frolov (Edmonton), Vladimir Kisil (Leeds), Guowu Meng (Hong Kong),   John Oprea (Cleveland), Magdalena Toda (Lubbock), Abraham Ungar (North Dakota) and Alexandar Yanovski (Cape Town)

Standing Committee   Vladimir Gerdjikov (Sofia), Metin Gürses  (Ankara), Andrei Ludu (Daytona), Josef Mikes (Olomouc),  Gregory Naber (Philadelphia), Anatol Odzijewicz (Bialystok) and Izu Vaisman (Haifa)   

Scientific Programme As previous  years we plan to have a few Lecture Courses of  3--5  talks each and Plenary Talks which will be delivered by:


Plenary Talks 

  • Josef Mikes - On Geodesic Mappings of Einstein Spaces
  • Ingmari Tietje - Experimental Test of the Weak Equivalence Principle in Low-Energy Antimatter Physics
and at least 20-30 minutes talks by the regular participants
  • Ciprian-Sorin Acatrinei - The Noncommutative Feynman Problem
  • Edward Anderson - The Problem of Time Locally Resolved Using Lie Theory and Variants
  • Paliathanasis Andronikos - Quantization of a Multi-Scalar Field Cosmological Model
  • Paolo Aniello - Quantum Stochastic Products and the Quantum Convolution
  • Mariia Boldyreva - Transitive Realizations of \({\frak p}(1,3)\)-Subalgebras by First-Order Matrix Differential Operators
  • Rutwig Campoamor-Stursberg - Stability Properties of Semidirect Sums of \(\frak{so}(3)\) and Solvable Lie Algebras
  • Jordan Genoff - Some Improvements to the Accuracy of Cellular Potts Model Simulations
  • Kohinoor Ghosh - Geometric Quantization of Symmetric Product of Riemann Surfaces and Coherent States
  • Irena Hinterleitner - On Geodesic Mappings of Einstein Spaces
  • Anna Ilina - Finite-Dimensional Reductions of 2D Toda Lattice Hierarchy
  • Seyed Kashani - Real Hyper-Surfaces in \(Q^m\) with Commuting Structure Jacobi Operator
  • Mostafa Khater - Superabundant Novel Solutions of the Long Waves Mathematical Modeling in Shallow Water
  • Kensaku Kitada - Yang–Mills Equations of General Connections and Certain Solutions in the Quaternionic Hopf Fibration Over Four-Sphere
  • Miroslav Kures - On Coordinate Expressions of Jet Groups and their Representations
  • Chjan Lim - Eigenvectors of the Bernoulli Laplace Models: Exact Triangularization by Symmetries of Linear Differential Operators
  • Alexey Magazev - Transitive Realizations of \({\frak p}(1,3)\)-Subalgebras by First-Order Matrix Differential Operators
  • Alessio Marrani - Black Hole Entropy and New Groups of Type \(E_7\)
  • Evgeniya Mikishanina - On Time-Dependent Nonholonomic Bilimovich System
  • Vadim Monakhov - Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions
  • Makoto Nakamura - The Transformation of Commutative Phase Space to Noncommutative One, and its Lorentz Transformation-Like Forms
  • Laarni Natividad - Star Product on the Euclidean Motion Group on the Plane
  • Vladimir Pulov - Geometry of Torus-Like Shapes of Non-Bending Surfaces
  • Daisy Romeo - Generalized Weyl Quantization of Time of Arrival Functions
  • Sudhir Singh - Dynamics of Rogue Waves in a New (2+1)-Dimensional Integrable Boussinesq Equation
  • Tsukasa Takeuchi - Examples of Four or Six-Dimensional Symplectic-Haantjes Manifolds and Their Relationship with the Recursion Operators
  • Tihomir Valchev - Multicomponent Nonlinear Evolution Equations of the HF Type. Local vs Nonlocal Reductions
  • Ion Vasile Vancea - Geometric and Quantum Properties of Charged Particles in Monocromatic Electromagnetic Knot Background
  • Naoko Yoshimi - k+l-Moulton Configuration
  • Akira Yoshioka - Star Product Deformation of Special Functions


Proceedings  The Proceedings will be published after peer review process which is carried out by the Editors of the Proceedings Series and the Editorial Board of Journal of Geometry and Symmetry in Physics. Since the begining of 2015 all Proceedings are a part of Euclid


Registration Fee  There will be a flat registration fee of €460/€560 for a double/single room accommodation. The fees for earlier registrations (with a payment before 1st March 2020) are respectively €410/€510. PhD students are entitled up to a 50% reductions of the above fees. Besides the room  this fee covers  three meals per day, refreshments and a copy of the Conference Proceedings  volume. Payment in US dollars and Bulgarian Levs is accepted at current exchange rates. Please notice  that  this  fee should be paid  in cash  upon arrival and  that no credit cards, personal cheques, bank drafts or travelers cheques can be accepted.

  Please, complete and send your  Registration Form. If you wish just to receive information about the future meetings, please register here. Deadline to submit registration forms and abstracts is 13th June 2020.

When the precise data for your travel is available, please complete the Arrival, respectively the Departure form.

 Accommodation  In the   hotel in Sts. Constantine and Elena (hotel Koral is listed under number 26 on the map). It is assumed that 7  June  and  14 June  are the arrival,  respectively the departure days.
Please, notice that there is not a local organizing Committee in Varna  and earlier arrival  will create a lot of problems. However the stay after the Conference can be arranged.

Flight Connections  - Varna Airport


International Conference on Geometry, Integrability and Quantization, Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str.,  Bl. 4,  1113 Sofia, BULGARIA.   
Tel: ++ 3592--979 26 37,    Fax: ++ 3592--872 37 87

E-mail Addresses:

  • Ivaïlo M. Mladenov -- mladenov@imbm.bas.bg
  • Vladimir Pulov -- vpulov@hotmail.com
  • Rutwig Campoamor-Stursberg -- rutwig@ucm.es
  • Akira Yoshioka -- yoshioka@rs.kagu.tus.ac.jp
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