Tamás F. Görbe

The main interests of my research are Integrable Systems and their algebraic, geometric, and field-theoretic aspects. For more, see my publications and my CV.

Research

Research Papers

  1. (with M.A. Hallnäs) Quantisation of compact forms of the trigonometric Ruijsenaars-Schneider system, preprint (2017); arXiv:1707.08483 [math-ph]
  2. (with L. Fehér) Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space, Lett. Math. Phys. 106 (2016) 1429-1449; doi:10.1007/s11005-016-0877-z; arXiv:1605.09736 [math-ph]
  3. (with B.G. Pusztai) Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters, Commun. Math. Phys. 354 (2017) 829-864; doi:10.1007/s00220-017-2935-5; arXiv:1603.06710 [math-ph]
  4. (with L. Fehér) The full phase space of a model in the Calogero-Ruijsenaars family, J. Geom. Phys. 115 (2017) 139-149; doi:10.1016/j.geomphys.2016.04.018; arXiv:1603.02877 [math-ph]
  5. A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational Calogero-Moser system, SIGMA 12 (2016) 027; doi:10.3842/SIGMA.2016.027; arXiv:1601.01181 [math-ph]
  6. (with L. Fehér) On a Poisson-Lie deformation of the BC$_n$ Sutherland system, Nucl. Phys. B 901 (2015) 85-114; doi:10.1016/j.nuclphysb.2015.10.008; arXiv:1508.04991 [math-ph]
  7. (with L. Fehér) Equivalence of two sets of Hamiltonians associated with the rational BC$_n$ Ruijsenaars-Schneider-van Diejen system, Phys. Lett. A 379 (2015) 2685-2689; doi:10.1016/j.physleta.2015.08.014; arXiv:1503.01303 [math-ph]
  8. On the derivation of Darboux form for the action-angle dual of trigonometric BC$_n$ Sutherland system, J. Phys.: Conf. Ser. 563 (2014) 012012; doi:10.1088/1742-6596/563/1/012012; arXiv:1410.0301 [math-ph]
  9. (with L. Fehér) Duality between the trigonometric BC$_n$ Sutherland system and a completed rational Ruijsenaars-Schneider-van Diejen system, J. Math. Phys. 55 (2014) 102704; doi:10.1063/1.4898077; arXiv:1407.2057 [math-ph]
  10. (with V. Ayadi and L. Fehér) Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals, J. Geom. Symmetry Phys. 27 (2012) 27-44; doi:10.7546/jgsp-27-2012-27-44; arXiv:1209.1314 [nlin.SI]

Posters

  1. Elliptic Ruijsenaars-Schneider models on the complex projective space, Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics 2017; [PDF, 519 kB]
  2. Lax representation of the hyperbolic van Diejen system with two coupling parameters, Integrable Systems Conference at the CSF Ascona 2016; [PDF, 4.4 MB]
  3. The trigonometric BC$_n$ Sutherland system: action-angle duality and applications, Finite Dimensional Integrable Systems in Geometry and Mathematical Physics 2015; [PDF, 82 kB]

PhD Thesis

Integrable many-body systems of Calogero-Ruijsenaars type, 2017; doi:10.14232/phd.3595
arXiv:1705.01333 [math-ph]; url: http://doktori.bibl.u-szeged.hu/3595/

Bachelor & Master Theses

Lie groups and related algebraic structures, 2010.

Group-theoretic treatment of integrable systems, 2013.

Scientific Students' Associations Essay

The BC$_n$ Sutherland model of charged particles as the reduction of free particles on Lie group SU$(n+1,n)$, spring 2012.

Textbooks, Supplementary Material (published in Hungarian)

  1. (with I. Gyémánt) Lineáris algebra fizikusoknak, Polygon Jegyzettár, 2011.
  2. Lineáris algebra fizikusoknak - Internetes melléklet, 2011.
  3. Lineáris algebra feladatgyűjtemény, 2011.

Courses

FALL, 2017


FALL, 2016


SPRING, 2015


LINEÁRIS ALGEBRA FIZIKUSOKNAK

Events

(Conferences, Summer/Winter Schools, Seminars, Workshops)

Upcoming events

July, 2018International Conference on Poisson Geometry (Poisson 2018)
Conference, The Fields Institute
Toronto, Canada
November, 2018International Conference on Symmetries and Integrability of Difference Equations (SIDE 13)
Conference
Fukuoka, Japan

Past events

July, 2017Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2017)
Conference (talk), Centre de Recerca Matematica (CRM)
Barcelona, Spain
June, 201721st UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2017)
Conference, University of Leeds
Leeds, UK
May, 2017Analysis and Probability Seminar
Seminar (talk), Division of Analysis and Probability Theory, Chalmers University of Technology
Gothenburg, Sweden
April, 2017Theoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
March, 2017Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
Workshop (poster), Erwin Schrödinger Institute, University of Vienna
Vienna, Austria
November, 2016Kerékjártó Geometry Seminar
Seminar (talk), University of Szeged
Szeged, Hungary
October, 2016Integrable Systems Seminar
Seminar (talk), University of Leeds
Leeds, UK
October, 2016Mathematical Physics Seminar
Seminar (talk), University of York
York, UK
October, 2016Geometry and Mathematical Physics Seminar
Seminar (talk), Loughborough University
Loughborough, UK
August, 2016Recent Advances in Quantum Integrable Systems (RAQIS'16)
Conference (poster), University of Geneva
Geneva, Switzerland
July, 2016Geometric and Algebraic Aspects of Integrability
Summer School & Conference (poster), London Mathematical Society
Durham, UK
July, 2016Poisson Geometry in Mathematics and Physics (Poisson 2016)
Conference (poster), ETH Zurich
Zurich, Switzerland
June, 2016Poisson Geometry in Mathematics and Physics (Poisson 2016)
Summer School, University of Geneva
Geneva, Switzerland
June, 2016Integrable Systems
Conference (poster), Congressi Stefano Franscini (CSF), ETH Zurich
Ascona, Switzerland
April, 2016Vector Bundles Learning Seminar
Seminar (talk), Eotvos Lorand University
Budapest, Hungary
March, 2016Physics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
March, 2016Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
November, 2015Mathematics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
October, 2015Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
September, 2015Analysis Seminar
Seminar (talk), Institute of Mathematics, BME
Budapest, Hungary
July, 2015Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2015)
Conference (poster), Stefan Banach International Mathematical Center
Bedlewo, Poland
June, 2015Integrable systems and Quantum Symmetries (ISQS-23)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
April, 2015Physics PhD Seminar
Seminar (talk), Institute of Physics, University of Szeged
Szeged, Hungary
April, 2015Representation Theory Seminar
Seminar (talk), KdV Institute for Mathematics, University of Amsterdam
Amsterdam, The Netherlands
January, 2015Vertex algebras, W-algebras, and applications (Part II)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
December, 2014Vertex algebras, W-algebras, and applications (Part I)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
October, 2014Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
September, 2014The 3rd summer school on geometry of differential equations (GDEQ-3)
Summer School, Silesian University in Opava
Opava, Czech Republic
June, 2014Integrable systems and Quantum Symmetries (ISQS-22)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
June, 2014Conference for PhD students in physics (DOFFI-3)
Conference (contributed talk), Roland Eotvos Physical Society
Balatonfenyves, Hungary
December, 2013Theoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
September, 2013Advanced Course on Geometry and Dynamics of Integrable Systems
Summer School, Centre de Recerca Matematica (CRM)
Barcelona, Spain
April, 2013XXXI. National Scientific Students' Associations Conference (OTDK)
Conference (talk), Budapest University of Technology and Economics
Budapest, Hungary
August, 2012Quantum gravity
Summer School, University of Szeged
Szeged, Hungary
April, 2012Scientific Students' Associations Conference (TDK)
Conference (talk), University of Szeged
Szeged, Hungary

String art

Az alkotások magyar nyelvű weboldala ide kattintva érthető el.

Contact

University of Szeged
Department of Theoretical Physics

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