BILKENT UNIVERSITY
DEPARTMENT OF MATHEMATICS
APPLIED MATHEMATICS GROUP: THURSDAY SEMINARS

July 2010

S. Vacaru,"On General Solutions in Massive Gravity and Ricci Flows", July 22, 14.40.

March 2009

1. M. Scherfner, "Notes on Isoparametric Hypersurfaces in Spheres: The Chern Conjecture", March 5, 15.40.

February 2009

1. Huseyin. S. Huseyin,"Poisson Structure and Dynamical Systems", Feb. 26, 14.40.

January 2009

1. B. Tekin, AdS Soliton and its Leci-Civita Cousins", Jan. 29, 15.40.

December 2008

1. M. Gurses, " All Poisson Structures in R^3", 18 December, 14.40

November 2008

1. M. Gurses, "Godel Type Metrics in Three Dimensions", November 14, 14.40
2. C. Senturk, "Collision Problem in AdS_{5}", November 21, 14.40
3. C. Senturk, "Collision Problem in AdS_{3}", November 28, 14.40

October 2008

1. K. Zheltukhin, ``Presymplectic structures in R^3'', October 9, 14.40.
2. M. Gurses, ``Godel Type Metrice in 3-Dimensions'', October 16, 14.40.
3. Erdal Inonu Confenernce on Group Theoretical Methods in Physics I, October 31 (METU).

September 2008

1. Burcu Silindir, "R-Matrix approach to integrable systems on time scales", September 5, (Friday at 14.40).
2. Maciej Blaszak, "Bi-Hamiltonian property and related class of seperation relations", September 8, (Monday 14.40).
3. Maciej Blaszak, "Reciprocal transformations for finite dimensional systems", September 11, (Thursday 14. 40).
4. Burcu Silindir, Bi-Hamiltonian Structure for integrable systems on regular time scales", September 12 (Friday 14.40).
5. Maciej Blaszak, "Reciprocal transformations for dispersionless systems", September 18 (Thursday 14.40).
6.Kostantyn Zheltukhin, "Compatible Presymplectic Structures in R^3", September 19 (Friday 14.40).
7.Maciej Blaszak, "Hamilton-Jacobi Method for non-Hamiltonian systems", September 25 (Thursday 14.40)

February 2007

Workshop on Differential Equations and Applications
February 8-10, 2007. METU, Math. Department

January 2007

1. S. Tek, "mKdV Surfaces", Jan.11, 2007.
2. C. Senturk, "Various Collision Problems", Jan. 18, 2007.
3. B. Silindir, "Integrable Discrete Systems", Jan. 18, 2007

December 2006

1. B. Unal, ``Energy Conditions on Standard Static Space-Times'', December 14
2. K. Zheltukhin, ``Boundary Conditions on S and integrability'', December 21
3. M. Gurses, ``KdV Equation and pp-waves in General Relativity'' December 28

September 2006

1. M Blaszak, " R-Matrix approach to dispersionless systems in (1+1) and (2+1) dimensions", September 7,2006.
2. K Zheltukhin, " On Deformation of R-Matrices", September 14,
3. M Blaszak, " From Stackel Systems to Solution hierarchies", September 14
4. B Silindir, "Hamiltonian Formulation of Integrable Systems on regular discrete Time Scales", September 21.
5. M Blaszak," Reciprocal Transformations for Stackel Systems and realted Dispersionless Systems", September 21.
6. M Blaszak, "From Dispersionless to Soliton Systems via Weyl-Moyal like Deformations", September 28.

May 2006

1. Ismagil Habibullin, "Characteristic Algebras of Discrete hyperbolic type models", May 4.
2. Ismagil Habibullin, "Involutions of the Lax pair and Integrable truncations of the Toda type chains", May 11.
3. Ismagil Habibullin, "Integrable Boundary Conditions for Multidimensional equations", May 18.
4. Ismagil Habibullin, "Lax Pairs for integrable boundary value problems and Zakharov-Shabat derssing method", May 25.

April 2006

1. Huseyin Huseyinov, "On Frenkel KdV", April 6.
2. Huseyin Huseyinov, "On Frenkel KdV", April 13.
3. Huseyin Huseyinov, "On Frenkel KdV", April 20
4. Metin Gurses, "Israel- Wilson- Perjes Thin Shells", April 27.

January 2006

1. Asli Pekcan, "Hirota Method for some non-integrable Equations", Jan 19.
2. Huseyin Huseyinov, "Discrete Harmonic Oscillators", Jan. 19.
3. "Dualities, Quantization and Integrability",Workshop, Pamukkale University, January 23-27.
4. "PDE Days", A one day workshop, Cankaya University, Jan. 30.

December 2005

1. Artemiy Kiselev, "Supersymmetric Representations and Integrable Super-Extensions of the Burgers and Bousinesq Equations",
December 8, 2005
2. Artemiy Kiselev, "Hamiltonian Deformations for (super-) KdV, Bousinesq and Kaup-Bousinesq Equations" ,
December 15, 2005

November 2005

1. M. Gurses, "KdV Surfaces", November 17, 2005
2. M. Gurses, "Closed Time Like Curves in Godel Spacetimes", November 24, 2005.

October 2005

1. Refik Turhan, "Bi-Hamiltonian formulation of Riemann type of equations", October 6, 2005.
2. Suleyman Tek, "2-Surfaces in R^3 arising from a variational Problem", October 13, 2005.

September 2005

1. Suleyman Tek, "Willmor-type of Surafces", September 22, 2005
2. Metin Gurses, "Future programs", September 27, 2005.

May 2005

1. Burak Himmetoglu, ``Kastor-Traschen Metrics in Higher Dimensions'', May 12, 2005
2. Konstantyn Zheltukhin, ``Deformations of R-matrix: No New Hierarchy!'', May 19, 2005
3. Huseyin Huseyinov, ``Trace Formula for Integrable Systems on Time Scales'', May 26, 2005.

April 2005

1. Bayram Tekin, ``Mass and Spin in Gibbons et al Metrics'', April 7, 2005
2. Huseyin Huseyinov, ``Integrable systems on Time Scale'', April 14, 2005
3. PDE Days , April 21, Hacettepe University, Mathematics Department.
4. Bulent Unal, ``Special Standard Static Space-Times'',April 28, 2005.

March 2005

1. Bayram Tekin, "Energy in Asymptotical AdS Space-Times", March 3
2. Atalay Karasu, "Integrable Systems with Noncommuting Fields", March 10.
3. Ozgur Sarioglu, " Rotating Metrics in Higher Dimensions", March 17.
4. Konstantyn Zheltukhin, "Some Gel'fand Dikii applications" March 24.
5. Metin Gurses, "Null Surface Formulation of General Relativity", March 31

February 2005

1. Workshop on "Dualities, Quantization and Integrability" February 2-5, Abant Izzet Baysal University.
2. Burak Himmetoglu, "Shell Models in General relativity", Feb.17
3. Necmi Bugdayci, "Solutions of Wave Equation in Worm Hole Space-Times, Feb.24

January 2005

1. B. Unal, "Warped Product Spacetime Models", January 13.

December 2004

1. B Himmetoglu, "Quantum Cosmology for Pedestrians", December 2.
2. M. Gurses, "Integrable Systems on Time Scales", December 8. (Atilim University).
3. A. Pekcan, "An Alternative to Hirota's Method", December 16.
4. H. Huseyinov, "Analogs of Quantum Oscillators", December 23.

November 2004

1. O Yurekli, "Parseval's Type of Theorems and Their Applications", November 11
2. M. Gurses, "Gel'fand Dikii on Time Scales", November 25.

October 2004

1. E Sakarya, "Moyal Quantization", October 7, 2004
2. A Karasu, "Integrable Systems on Noncommuting Fields", October 14, 2004
3. M Gurses, "Nul Surface Formulation of GR", October 21, 2004
4. M Gurses, "Gel'fand Dikii on Time Scale Calculus", October 28, 2004

September 2004

1. M. Gurses, "Null Surface Formulation of General Relativity I", Sept.9
2. M. Gurses, "Null Surface Formulation of General Relativity II", Sept.16 (14.40)
3. H. Huseyinov, "Time Scale Calulus", Sept. 16 (15.40)
4. M. Gurses, "Null Surface Formulation of General Relativity III", Sept.23 (14.40)
5. K. Zheltukhin, " Some Problems in GD Formalism", Sept. 23 (15.40)

July 2004

1. Burak Himmetoglu, "Wormhole Dynamics: Israel Shell Method II", July 1 , 2004
2. Asli Pekcan, "Hirota's Bilinear Method II: Aplications, July, 2004 (15.40)
3. Burak Himmetoglu, "Wormhole Dynamics: Israel Shell Method III", July 8, 2004 (14.40)
4. Asli Pekcan, "Hirota's Bilinear Method III: Appliactions", July 8 2004 (15.40)

June 2004

1. Burak Himmetoglu, "Wormhole Dynamics: Israel Shell Method I", June 3 , 2004
2. Metin Gurses, "Gravitational Waves (in Turkish)", June 3, 2004.
3. Burak Himmetoglu, "Wormhole Dynamics: Israel Shell Method II", June 10 , 2004 (14.40)
4. Asli Pekcan, "Hirota's Bilinear Method I: The Method", June 17, 2004 (15.40)
5. Emre Sakarya, "Deformation Quantization", June , 2004

April 2004

1. Burak Himmetoglu, "Wormholes IV: Thin Shells", April 9, 2004
2. Metin Gurses, "Moyal Algebra", April 15, 2004
3. Konstantyn Zheltukhin, "Gelfand Dikii for Matrix Algebras", April 22, 2004

March 2004

1. Burak Himmetoglu, "Wormholes", March 4, 2004
2. Cem Tezer, "On Sasaki Metric", March 11, 2004
3. Burak Himmetoglu, "Wormholes II", March 12, 2004
4. Cem Tezer, "On Sasaki Metric II", March 18, 2004
5. Burak Himmetoglu, "Wormholes III", March 26, 2004

February 2004

1. "Mini Workshop on Dualities, Quantization and Integrability", Department of Physics, METU, February 13-14, 2004.
See the web page of the workshop for further details
http://dualities.physics.metu.edu.tr

January 2004

1. M. Gurses, "Gelfand Dikii for Matrix Algebras" (Zero Curvature Formalism) January 8, 2004.
2. PDE Days, Department of Mathematics, Gazi University, January 22, 2004.

Program
09.40-10.20 Metin Gurses (Bilkent Univ.), "Gel'fand Dikii Formalism"
10.20-11.00 Ethem Akar (Gazi Univ.), " Sacilma Problemi"
Tea Break
11.20-12.00 Allaberen Ashyralyev (Fatih Univ.), " A note on Difference Schemes
of nonlocal BVP hyperbolic Equation
12.00-12.40 Huseyin Huseyinov (Atilim Univ.), " Impulsive Heat Equation".
Lunch Break
14.00-14.40 Alemdar Hasanoglu (Kocaeli Univ.), "Convexity argument for nonlinear
elliptic problems with momotone potential problems"
14.40-15.20 Mustafa Polat (Yeditepe Univ.), "Dissipativeness of Swift-Honenberg Equation"
Tea Break
15.40-16.20 Kemal Sultanov (Hacettepe Univ.), "On some semilinear equations"
16.20-17.00 Nurettin Caliskan (Dogus Univ.), " Existence of solutions of a
generailzed Laplace type of equation"
17.00 Closing talk

December 2003

1. M. Gurses, "Godel type of Metrics III: Closed Time-Like Curves", Dec. 4, 2003.
2. K. Zheltukhin, "Coupled Nonlinear PDEs from Some Lie Algebras", Dec. 11, 2003.

October 2003

1. M. Gurses, " Godel-type of metrics II", Oct. 30, 2003
2. A. Karasu, "Colliding PP Waves in Type IIB String Theory", Nov.

September 2003

1. K. Zheltukhin, "Poisson Structures in $R^3$", Sept. 11, 2003.
2. C. Tezer, " The Magenetic Spherical Pendulum", Sept. 18, 2003.
3. M. Gurses, "Godel-type of metrics I"", Sept. 25, 2003.

May 2003

1. A. Karasu, " Higher Dimensional Bell-Szekeres Metrics", May 1, 2003.
2. A. Pekcan, "3 soliton solutions", May 15, 2003.
3. H. Kozcaz, " Lienard Wiechert Potentials", May 15,2003.
4. H. Karacali, "Coupled Nonlinear Schrodinger Equations", May 22, 2003.

PDE Meeting III, May 26 , 2003 at Atilim University

1. 10.00 M. Gurses, " Poisson Structors in R^3".
10.30-11.00 Coffee break
2. 11.00 K Zheltukhin, "Integration of Hamiltonian Systems in R^3"
3. 11.30 A. Karasu, " Characteristic Initial Value problem for Colliding Plane Waves".
12.00-13.30 Lunch break
4. 13.30 A Ashyralyev, "On difference Schemes of Approximate Solutions of the Nonlocal Boundary Value problems for Parabolic Equations".
5. 14.00 H. Huseyinov, " Partial Differential Equations on Time Scale".
14.30-15.00 Coffee break
6. 15.00 O. Celebi, " Dirichlet Problems with non-Smooth Boundary".
7. 15.30 K. Koca, " A Boundary value problem for generalized analytic functions in Wiener type domains".

April 2003

1. M. Gurses, "Integrable Systems", April 10.
2. M. Gurses, "All Poisson Structures in R^3", April 17
3. K. Zheltukhin, "Complete Integral of Hamiltonian Systems in R^3", April 24.

March 2003

1. M. Gurses, " An Overview of our activities", March 6.

February 2003

1. Ozgur Kisisel, "Factorization of some Poisson Structures", Feb. 24.
2. Refik Turhan, "Classification of Hamilton Operators of Degree 3", Feb. 27.

January 2003

1. S. Tek, " Structure of Spacetime Tangent Bundle", Jan.30
2. A. Karasu, "Higher dimensional Bell-Szekeres Metrics", Jan.30

November 2002

1. A. Pekcan , "The Hirota Merhod", Nov. 21
2. H. Karacali, "System of Nonlinear Schrodinger Equations", Nov. 28

October 2002

1. G. Sh. Guseinov, "Calculus on Time Scales and Dynamic EquationsI", Oct. 10
2. G. Sh. Guseinov, "Calculus on Time Scales and Dynamic Equations II", Oct. 17
3. K. Zheltukhin, "Bi-Hamiltonian Structure of N=3 Dynamical System", Oct. 24

September 2002

1. K. Zheltukhin, "Solution of Jacobi equation for N=3", Sept. 5.
2. M. Gurses, "Hamilton operators of order 3", Sept. 12.
3. M. Gurses, "Curves in Minkowski space and accelerated solutions", Sept. 19.
4. M. Gurses, "On Finsler Speces", Sept. 26.

June 2002

1. A. Ay, Jacobi Equation for N=3, June 18
2. A. Karasu, Hamiltonian and Bi Hamiltonian systems with Order=3, June 27

May 2002

1. C. Manap , "Symmetry Algenra of 2+1 Burgers Equation", May 2, 2002
2. M. Gurses, "Colliding Gravitational Plane Wave Geometries ", May 9, 2002.

April 2002

1. M. Gurses, "Accelerated Geometries II", April 4, 2002
2. A. Karasu, "An exotic Recursion Operator", April 11, 2002
3. A. Ay, "General Solution of the Jacobi Equation for N=3", April 18, 2002
4. O. Sarioglu, "Accelerated Born-Infeld Geometries", April 25, 2002

February 2002


21 February 2002 , A. Karasu " Colliding 2D-dimensional Gravitational plane waves", 15.40-16.30
28 February 2002 , K. Zheltukhin " Recursion operators and Super-Lax Represnetations", 15.40-16.30

January 2002

24 January 2001, M Gurses "Super Lax Representations", 14.40-15.30

December Program

06 December 2001, Refik Turhan "Non-autonoumus KdV systems" (14.40)
06 December 2001, K. Zheltukhin, "Recursion Operators and Lax Representations" (15.40)

November Program

29 November 2001, Tugrul Hakioglu, "Theory of Canonical transformations".
22 November 2001, Ozgur Sarioglu, "D-dimensional Bonnor Vaidya metrics".

Ankara Study Days



Bilkent University, Physics Department
16-17 November 2001
Organized by
Tekin Dereli (Koc University), Tugrul Hakioglu (Bilkent University)
Abdullah Vercin (Ankara University)


  • Ads/CFT duality
    Sadik Deger (FGI)

  • Higher Spin fields in two-time physics
    Cemsinan Deliduman (FGI)

  • Phase space quantization, magnetic fields and supersymmetry
    Tekin dereli (Koc University)

  • Moyal Integrability
    Metin Gurses (Bilkent University)

  • Non-local quantum phase formulation, Poisson maps and 't Hooft's dissipation quantization
    Tugrul Hakioglu (Bilkent University)

  • Time-dependent recursion operators and symmetries
    Atalay Karasu (METU)

  • A quadratic Poisson structure for the discrete KP hierarchy
    Ozgur Kisisel (METU)

  • Orthofermion algebra and topological generalizations of supersymmetry
    Ali Mostafazadeh (Koc University)

  • Supersymmetric solutions of the topological massive gravity
    Ozgur Sarioglu (METU)

    Integrabilty, Supersymmetry and Isospectral Potentials
    Abdullah Vercin (Ankara University)

    October 2001

    04 October , K Zheltukhin, "On Dirac's Method"
    11 October , A Karasu, " Supersymmetric Jordan System"
    18 October , M. Gurses, " Geometry due to Acceleration"
    25 October , K Zheltukhin, " Moyal Integrable Systems I"

    September 2001

    06 September, M. Gurses, "Moyal Integrable Systems",
    13 September, K. Zheltukhin, "Dirac's Method for Constraints",
    20 September, M. Gurses, "Moyal Integrable Systems",
    27 September, K. Zheltukhin, Dirac's Method for Constraints".

    Spring 2001

    There is a one day meeting PDE Günleri on February 1, Thursday. Please see http://www.fen.bilkent.edu.tr:80/~ugur for the program of the meeting.

    October 2000

    05 October, R. Turhan, " Time dependent KdV systems I".
    12 October, R. Turhan, " Time dependent KdV systems II"
    19 October, M. Gurses, " Time dependent Svinolupov-Jordan KdV system".
    27 October, M. Gurses, " Integrable Surfaces in R^3".

    September 2000


    07 September, M. Gurses, " Integrable Geometries" , 15.40.
    14 September, M. Gurses, " Integrable Geometries" , 14.40.
    21 September, K. Zheltukhin, "Recursion operators of the equatiions of hydrodynamic type from their Poisson type of Lax representation.
    28 September, A. Karasu, " Recursion operators of some KdV type of equations with variable coefficients

    In addition to the above seminars there will be a lecture, once in two weeks by K. Zheltukhin, on Poisson Geometry.

    Spring 2000

  • 17 February 2000-A. Karasu, "Integrability of Self-Dual Grvaity", 14.40.
  • 24 February 2000-O. Sarioglu, " Black Holes in Toplogically Massive Gravity", 13.40.
  • 13 April 2000-K. Zheltukhin, "Recursion operators of equations of Hydrodynamic type". 15.40
  • 04 May 2000- M. Gurses, " Sigma Models, Minimal Surfaces and some Ricci Flat pseudo-Riemannian Geometries", 15.40.

    Fall 1999

  • 09 September 1999- M. Gurses, "Integrable Sigma Models 1", 14.40
  • 16 September 1999- M. Gurses, "Integrable Sigma Models 2", 14.40
  • 23 September 1999- M. Gurses, "Integrable Sigma Models 3", 14.40
  • 30 September 1999- K. Zheltukhin, "Monge-Ampere equation and its Infinite Hierarchy", 16.00
  • 07 October 1999- Refik Turhan, "Time Dependent Jordan KdV System", 14.40
  • 18 November 1999- M. Gurses, "An extension of the Integrable KdV Systems", 14.40.
  • 2 December 1999- K. Zheltukhin, "Equations of Hydrodynamical Type: Lax Pairs", 14.40.
  • 16 December 1999-K. Zheltukhin, "Sigma Models and Equations of Hydrodynamical Type", 14.40 . This is a PhD Thesis Proposal Examination.


    Spring 1999



    Program for January-March

    07 January 1999 - Demir Kupeli- Semi-Riemannian Maps.
    14 January 1999- Burak Gurel- Equations of Hydrodynamical Type.
    28 January 1999 - Ozgur Ceyhan- Integrable Surfaces in R^n.
    04 February 1999- Burak Gurel- Equations of Hydrodynamical Type.
    11 February 1999- Ozgur Ceyhan- Integrable Surfaces in R^n
    18 February 1999- Burak Gurel- Equations of Hydrodynamical Type
    25 February 1999- Ozgur Ceyhan- Integrable Surfaces in R^n
    04 March 1999- Burak Gurel- Equations of Hydrodynamical Type
    Program for April-May

    15 April 1999- K S Stelle, " P-Form Charges and Their Algebras"
    22 April 1999- O. Ceyhan , " Two Surfaces Arising From Soliton Theory" (14.40)
    22 April 1999- V. Sokolov, " Nonabelian Integrable Equations" (15.40).

    29 April 1999 -Ozgur Ceyhan- Continuation (14.40)
    29 April 1999 -V. Sokolov- Continuation (15.40)

    06 May 1999- O. Ceyhan - " Weingarten surfaces" 14.40
    06 May 1999- R. Turhan - " Time dependent Jordan KdV System 15.40

    13 May 1999- O. Ceyhan -" Weingarten Surfaces" 14.40
    13 May 1999- K. Zheltukhin -" Integrable Sigma Models" 15. 40

    20 May 1999- O. Ceyhan - " Weingarten Surfaces" 14.40
    20 May 1999- K. Zheltukhin -" Integrable Sigma Models" 15.40

    27 May 1999- K. Zheltukhin -" Integrable Sigma Models" 14.40
    27 May 1999 -M. Gurses - " Some Global Theorems on 2-Sphere arising from solition theory" 15.40


    Last update December 2001