12

Monday, November 16, 2009
3:00-4:00pm, MAGC1.410


”CH Hierarchy”

Dr. Zhijun Qiao, Department of Mathematics, The University of Texas - Pan American

11

Monday, November 9, 2009
3:00-4:00pm, MAGC1.410


”CH Equation”

Dr. Zhijun Qiao, Department of Mathematics, The University of Texas - Pan American

10

Monday, November 2, 2009
3:00-4:00pm, MAGC1.410


” One- and Two-dimensional Toda Lattices and Their Applications: Part II ”

Dr. Bao-Feng Feng, Department of Mathematics, The University of Texas - Pan American

9

Monday, October 26, 2009
3:00-4:00pm, MAGC1.410


” One- and Two-dimensional Toda Lattices and Their Applications: Part I ”

Dr. Bao-Feng Feng, Department of Mathematics, The University of Texas - Pan American

8

Friday, October 16, 2009
3:00-4:00pm, MAGC1.302


"Orthogonal polynomials on the unit circle and spectral transformations"

Dr. Luis E. Garza, Universidad Autónoma de Tamaulipas, Matamoros

7

Monday, October 12, 2009
3:00-4:00pm, MAGC1.410


"Systems of Differential Equations for Modular Forms"

Dr. Tim Huber, Department of Mathematics, The University of Texas - Pan American

6

Monday, September 28, 2009
3:00-4:00pm, MAGC1.410


"Geometry of Integrable Lattice Hierarchies, Part II"

Dr. Virgil Pierce, Department of Mathematics, The University of Texas - Pan American

5

Monday, September 21, 2009
3:00-4:00pm, MAGC1.410


"Geometry of Integrable Lattice Hierarchies"

Dr. Virgil Pierce, Department of Mathematics, The University of Texas - Pan American

4

Thursday, February 12, 2009
1:10-2:25pm, MAGC1.212


"New Integrable Equations with Non-smooth Solitons"

Dr. Zhijun Qiao and Mr. Xianqi Li, Department of Mathematics, The University of Texas - Pan American

3

Saturday, January 24 , 2009
9:50-18:00pm, MAGC1.318



First South Texas Algebra Colloquium

2

Tuesday, September 23, 2008
2:30-3:30pm, MAGC1.410


"Orthogonal and skew-orthogonal polynomials on the real line, Part II"

Dr. Virgil Pierce, Department of Mathematics, The University of Texas - Pan American

1

Tuesday, September 16, 2008
2:30-3:30pm, MAGC1.410


"Orthogonal and skew-orthogonal polynomials on the real line"

 Dr. Virgil Pierce, Department of Mathematics, The University of Texas - Pan American
 
Abstract: 
Orthogonal polynomials on the real line have a number of applications in
mathematics such as efficient numerical approximation of integrals.
They are defined by orthogonality with respect to an inner product on
the real line and describe the Toda Lattice hierarchy.  Orthogonal
polynomials on the real line are uniquely determined as the solutions of
a 2 x 2 matrix Riemann-Hilbert problem.  Skew-orthogonal polynomials are
defined with respect to a skew-inner product on the real line and
describe the Pfaff Lattice hierarchy.  We will show that in some special
situations they are determined as the solutions of a large (as in > 2 x
2) matrix Riemann-Hilbert problem.   This talk will only presume a
knowledge of Cauchy's theorem and is suitable for graduate students.



If you are interested in this seminar, please contact to Dr. Kenichi Maruno (e-mail address is kmaruno atmark utpa.edu ,   atmark means @)