Analysis Seminar, Fall 2009

Fridays 1-2 P.M., Korman 245

Nov 6	David Kimsey	Theory of reproducing kernels (3) (after N. Aronszajn, 1950) .
Oct 30	Gregory Naber	Reproducing Kernels and Group Representations (2).
Oct 23	Gregory Naber	Reproducing Kernels and Group Representations (1).
Oct 16	Dmitry Kaliuzhnyi-Verbovetskyi	Theory of reproducing kernels (2).
Oct 9	Dmitry Kaliuzhnyi-Verbovetskyi	Theory of reproducing kernels (1) (after N. Aronszajn, 1950).
Oct 2	Hugo Woerdeman	On positive and completely positive maps.
Sept 25	Lei Cao	The uniqueness of solutions to A. Horn’s problem up to unitary similarity.

Analysis Seminar, Spring 2009

Mondays 3-4 P.M., Korman 245

June 1	Dan Cross	Solving the Schrodinger Equation with Lie Algebras.
May 18	David Kimsey	Generalizations of the Hamburger moment problem.
May 11	Hugo Woerdeman	On an extension problem for polynomials (continuation).
Apr 27	Sara Grundel (NYU)	Smoothing splines and reproducing kernel Hilbert space.
Apr 20	Hugo Woerdeman	On an extension problem for polynomials (after Bakonyi & Timotin).
Apr 13	Anatolii Grinshpan	The ``plank problem” (after T. Bang, 1951).

Analysis Seminar, Winter 2009

Fridays 12-1 P.M., Korman 245

Mar 13	Nicola Guglielmi (U of L’Aquila)	Finiteness properties of sets of matrices and finite computation of the joint spectral radius.
Mar 6	Yun Yoo	The spectral theorem and diagonalization.
Feb 27	Robert Boyer	Ergodic measures on Hermitian matrices (continued).
Feb 20	Ilya Spitkovsky (William & Mary)	On the current state of the factorization problem for almost periodic matrix functions.
Feb 16 1.PM.	Andrey Melnikov (Ben-Gurion)	Overdertermined 2D systems invariant in one direction and their transfer functions.
Feb 13	Robert Boyer	Ergodic unitarily invariant measures on the space of infinite Hermitian matrices (after Olshanski and Vershik).
Feb 6.	Lei Cao	On uniqueness in Alfred Horn’s conjecture.
Jan 16	Dmitry Kaliuzhnyi-Verbovetskyi	Matrices with normal defect 1.
Jan 9	Hugo Woerdeman	On the normal completion problem.

Analysis Seminar, Fall 2008

Mondays 1-2 P.M., Korman 245

Dec. 1	Anatolii Grinshpan	On the linear polarization constant for R^d (continued).
Nov. 24	Anatolii Grinshpan	On the linear polarization constant for R^d (after Leung, Li, and Rakesh).
Nov. 17	Mihaly Bakonyi	Moment problems for real measures on the unit circle.
Nov. 10	David Kimsey	Truncated Hamburger moment problem (continued).
November 3	David Kimsey	Truncated Hamburger moment problem (after Curto and Fialkow).
October 27	Hugo Woerdeman	On numerical ranges in quantum computing (continued).
October 20	Hugo Woerdeman	On numerical ranges in quantum computing (after Kribs et al).
October 6.	Hugo Woerdeman	Distance to normality of a tridiagonal matrix (after Noschese, Pasquini, and Reichel).

Analysis Seminar, Spring 2008

Tuesdays 1-2 P.M., Korman 245

June 12, 10 A.M.	Le Yu	Gershgorin disks and the field of values.
June 2	Lei Cao	The saturation conjecture (continued).
May 27	Lei Cao	The saturation conjecture.
May 20	Greg Naber	Lomonosov’s invariant subspace theorem.
May 13	Selcuk Koyuncu	Inverses of multilevel Toeplitz matrices (continued).
May 6	Selcuk Koyuncu	Inverses of multilevel Toeplitz matrices.
April 29	Ron Perline	Differential equations and the symmetric eigenvalue problem (continued).
April 22	Ron Perline	Differential equations and the symmetric eigenvalue problem.
April 15	Thomas Yu	Uncertainty Principles and Sparse Representation.
April 8	Abed Elhashash	A survey of matrix functions preserving non-negative and related matrices.

Analysis Seminar, Winter 2008

Mondays 1-2 P.M., Korman 207A

March 10	Hugo Woerdeman	Representation of block Hankel matrices.
March 3	Robert Boyer	Asymptotics for Appell polynomials (continued).
February 25	Robert Boyer	Asymptotics for Appell polynomials.
February 18	Tom Bella (UConn)	Quasiseparable matrices and polynomials. Fast and accurate algorithms. 12-1, Korman 207
February 11	Hugo Woerdeman	The Hamburger moment problem.
February 4	Anatolii Grinshpan	The von Neumann Inequality in one and several variables.
January 28	Dmitry Kaliuzhnyi-Verbovetskyi	The operator-valued Schur class (continued).
January 21	No meeting (MLK Holiday)
January 14	Dmitry Kaliuzhnyi-Verbovetskyi	The operator-valued Schur class (continued).
January 7	Dmitry Kaliuzhnyi-Verbovetskyi	The operator-valued Schur class.

Analysis Seminar, Fall 2007

Mondays 3-4 P.M., 245 Korman

December 3	Anatolii Grinshpan	Some matrix inequalities (after Bhatia).
November 26	Hugo Woerdeman	Gohberg-Semencul via Christoffel-Darboux.
November 12	Hugo Woerdeman	Christoffel-Darboux formula.
November 5	Hugo Woerdeman	Schur complements (continued).
October 29	Hugo Woerdeman	Schur complements.
October 22	Anatolii Grinshpan	Imbedding of Hermitian and normal matrices (after Fan and Pall).
October 15	Abed Elhashash	Characterizations and Properties of General Matrices Enjoying the Perron-Frobenius Property.
October 1	Roger Horn (University of Utah)	Matrix Canonical Forms. 4 P.M., 617 Wachman Hall, Temple
September 24	Hugo Woerdeman	Multivariable Gohberg-Semencul expressions.

Random Matrices, Spring 2007

Fridays: 1-2 P.M., 245 Korman

MSRI workshops on RMT. Jacques Faraut’s lectures.

Alice Guionnet’s lectures. Alan Edelman’s course materials.

Topics:

Apr 13. Introduction to random matrices. (Anatolii Grinshpan)

Apr 20. Wigner’s theorem. (Anatolii Grinshpan)

April 27. Operator inequalities. (Man-Duen Choi, not a RMT meeting)

May 4. Wigner’s theorem (continued). (Anatolii Grinshpan)

May 11. Toeplitz determinants. (Hugo Woerdeman)

May 18. Symmetric functions. (Jennifer Morse)

May 25. The strong Szego limit theorem. (Dmitry Kaliuzhnyi-Verbovetskyi)

June 1. Fredholm determinants. (David Kimsey)

June 8. Concentration of the large eigenvalues of random graphs. (Eric Schmutz)