Workshop on
Spectral Statistics and High-Energy Eigenstates

August 25 - September 2, 2001


Centre de recherches mathematiques
Universite de Montreal

 

PROGRAM

SATURDAY, AUGUST 25

13:00         Registration (Room 5345)

14:00         A. Gamburd "Expander Graphs, Random Matrices, and Quantum Chaos"

15:00         Coffee break

15:30 I.      Vardi "Number Theoretic Percolation"

 

SUNDAY, AUGUST 26

09:30         P. Bleher "Semiclassical Asymptotics in Random Matrix Models" I

10:30         Coffee break

11:00         Z. Rudnick "Quantum maps: semiclassics and Number Theory" I

12:00         Lunch

14:00         T. Watson "Eigenfunction Asymptotics and Rankin Triple L-functions"

15:00         Coffee break

15:30         R. Speicher "Free probability theory and random matrices"

 

MONDAY, AUGUST 27

09:30         P. Bleher "Semiclassical Asymptotics in Random Matrix Models" II

10:30         Coffee break

11:00         Z. Rudnick "Quantum maps: semiclassics and Number Theory" II

12:00         Lunch

14:00         E. Duenez "Random matrix ensembles associated to compact symmetric spaces"

15:00         Coffee break

15:30         A. Bourget "Nodal Statistics for the Lame Ensemble"

 

TUESDAY, AUGUST 28

09:00         S. Zelditch "Highly excited quantum states"

10:00         Coffee break

10:30         P. Bleher "Semiclassical Asymptotics in Random Matrix Models" III

11:45         H. Widom "A growth model in a random environment"

12:45         Lunch

14:30         K. McLaughlin "Asymptotic expansion for orthogonal polynomials on the line and applications to moment generating                    functions in random matrix theory"

15:30         Coffee break

16:00         P. Moree "On Artin's primitive root conjecture and some related problems"

 

WEDNESDAY, AUGUST 29

09:00         S. Zelditch "Riemannian manifolds with extreme eigenfunction growth"

10:00         Coffee break

10:30         Z. Rudnick "Quantum maps: semiclassics and Number Theory" III

11:45         K. Soundararajan "real zeros of quadratic Dirichlet L-functions"

12:45         Lunch

14:30         H. Donnelly "Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds"

15:30         Coffee break

16:00         P. Sarnak "L^4 norms of eigenfunctions on arithmetic surfaces"

17:00         Reception

 

THURSDAY, AUGUST 30

09:00         S. Zelditch "Random spherical harmonics"

10:00         Coffee break

10:30         U. Smilansky "On the distribution of the number of nodal domains"

11:45         B. Eynard "Universal spectral statistics and phase transitions of random matrix models"

12:45         Lunch

14:30         T. Tate "Weyl calculus and Wigner transform on Poincare disk"

15:30         Coffee break

16:00         A. Uribe "Berezin-Toeplitz operators" I

 

FRIDAY, AUGUST 31

09:30         A. Uribe "Berezin-Toeplitz operators" II

10:30         Coffee break

11:00         M. Min-Oo TBA

12:00         Lunch No afternoon talks

 

SATURDAY, SEPTEMBER 1

09:30         A. Uribe "Berezin-Toeplitz operators" III

10:30         Coffee break

11:00         V. Jaksic "Spectral theory of corrugated surfaces"

12:00         Lunch

14:00         J. Harnad "Duality in Random Matrices and Biorthogonal Polynomials"

15:00         Coffee break

15:30         W. Craig TBA

 

SUNDAY, SEPTEMBER 2

09:30         I. Rivin "Random matrices and polynomials with applications to computational learning"

10:30         Coffee break

11:00         I. Dumitriu "Beyond the 3-fold way: Random Matrix Models for all beta- ensembles"


INFORMATION: pelletl@CRM.UMontreal.CA