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. Hallnäs) Quantisation of compact forms of the trigonometric Ruijsenaars-Schneider system, in preparation (2017)
  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, 2016

SPRING, 2015

LINEÁRIS ALGEBRA FIZIKUSOKNAK

Events

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

Upcoming events

2017. JulyFinite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2017)
Conference, Centre de Recerca Matematica (CRM)
Barcelona, Spain

Past events

2017. June21st UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2017)
Conference, University of Leeds
Leeds, UK
2017. MayAnalysis and Probability Seminar
Seminar (talk), Division of Analysis and Probability Theory, Chalmers University of Technology
Gothenburg, Sweden
2017. AprilTheoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
2017. MarchElliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
Workshop (poster), Erwin Schrödinger Institute, University of Vienna
Vienna, Austria
2016. NovemberKerékjártó Geometry Seminar
Seminar (talk), University of Szeged
Szeged, Hungary
2016. OctoberIntegrable Systems Seminar
Seminar (talk), University of Leeds
Leeds, UK
2016. OctoberMathematical Physics Seminar
Seminar (talk), University of York
York, UK
2016. OctoberGeometry and Mathematical Physics Seminar
Seminar (talk), Loughborough University
Loughborough, UK
2016. AugustRecent Advances in Quantum Integrable Systems (RAQIS'16)
Conference (poster), University of Geneva
Geneva, Switzerland
2016. JulyGeometric and Algebraic Aspects of Integrability
Summer School & Conference (poster), London Mathematical Society
Durham, UK
2016. JulyPoisson Geometry in Mathematics and Physics (Poisson 2016)
Conference (poster), ETH Zurich
Zurich, Switzerland
2016. JunePoisson Geometry in Mathematics and Physics (Poisson 2016)
Summer School, University of Geneva
Geneva, Switzerland
2016. JuneIntegrable Systems
Conference (poster), Congressi Stefano Franscini (CSF), ETH Zurich
Ascona, Switzerland
2016. AprilVector Bundles Learning Seminar
Seminar (talk), Eotvos Lorand University
Budapest, Hungary
2016. MarchPhysics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
2016. MarchMathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
2015. NovemberMathematics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
2015. OctoberMathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
2015. SeptemberAnalysis Seminar
Seminar (talk), Institute of Mathematics, BME
Budapest, Hungary
2015. JulyFinite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2015)
Conference (poster), Stefan Banach International Mathematical Center
Bedlewo, Poland
2015. JuneIntegrable systems and Quantum Symmetries (ISQS-23)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
2015. AprilPhysics PhD Seminar
Seminar (talk), Institute of Physics, University of Szeged
Szeged, Hungary
2015. AprilRepresentation Theory Seminar
Seminar (talk), KdV Institute for Mathematics, University of Amsterdam
Amsterdam, The Netherlands
2015. JanuaryVertex algebras, W-algebras, and applications (Part II)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
2014. DecemberVertex algebras, W-algebras, and applications (Part I)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
2014. OctoberMathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
2014. SeptemberThe 3rd summer school on geometry of differential equations (GDEQ-3)
Summer School, Silesian University in Opava
Opava, Czech Republic
2014. JuneIntegrable systems and Quantum Symmetries (ISQS-22)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
2014. JuneConference for PhD students in physics (DOFFI-3)
Conference (contributed talk), Roland Eotvos Physical Society
Balatonfenyves, Hungary
2013. DecemberTheoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
2013. SeptemberAdvanced Course on Geometry and Dynamics of Integrable Systems
Summer School, Centre de Recerca Matematica (CRM)
Barcelona, Spain
2013. AprilXXXI. National Scientific Students' Associations Conference (OTDK)
Conference (talk), Budapest University of Technology and Economics
Budapest, Hungary
2012. AugustQuantum gravity
Summer School, University of Szeged
Szeged, Hungary
2012. AprilScientific 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

greek_alphabet