Workshop III: Random Matrices and Free Probability Theory

Part of the Long Program Quantitative Linear Algebra
May 14 - 18, 2018

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 14, 2018

Morning Session
8:00 - 8:50 Check-In/Breakfast (Hosted by IPAM)
8:50 - 9:00 Welcome and Opening Remarks
9:00 - 9:50
H.T. Yau (Harvard University)

Universality of random band matrices and quantum unique ergodicity
PDF Presentation
10:00 - 10:20 Break
10:20 - 11:10
11:20 - 11:40 Break
11:40 - 12:30
Todd Kemp (University of California, San Diego (UCSD))

The Spectral Envelope of Multiplicative Brownian Motion
PDF Presentation
12:40 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
3:30 - 3:50 Break
3:50 - 4:40
5:00 - 6:30 Poster Session & Reception (Hosted by IPAM)

Tuesday, May 15, 2018

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Sourav Chatterjee (Stanford University)

Gauge-string duality in lattice gauge theories

10:00 - 10:20 Break
10:20 - 11:10
Pierre Youssef (Université de Paris VII (Denis Diderot))

On the norm of Gaussian random matrices

11:20 - 11:40 Break
11:40 - 12:30
Benjamin Landon (Harvard University)

Local statistics of Dyson Brownian motion

12:40 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Marc Potters (University of California, Los Angeles (UCLA))

On the overlaps between eigenvectors of correlated random matrices

3:30 - 3:50 Break
3:50 - 4:40
Guillaume Cébron (Université de Toulouse III (Paul Sabatier))

The large-N limits of conditional expectation
PDF Presentation

Wednesday, May 16, 2018

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
10:00 - 10:20 Break
10:20 - 11:10
Nicholas Cook (University of California, Los Angeles (UCLA))

The maximum of the characteristic polynomial for a random permutation matrix
PDF Presentation
11:20 - 11:40 Break
11:40 - 12:30
Konstantin Tikhomirov (Princeton University)

Circular law for very sparse non-Hermitian random matrices

12:40 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
3:30 - 3:50 Break
3:50 - 4:40
Mariya Shcherbina (National Academy of Sciences of Ukraine)

Large block properties of the entanglement entropy of free disordered fermions


Thursday, May 17, 2018

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Dan-Virgil Voiculescu (University of California, Berkeley (UC Berkeley))

Noncommutative extreme values based on the Ando-max.
PDF Presentation
10:00 - 10:20 Break
10:20 - 11:10
Olivier Guédon (Université de Marne-la-Vallée)

On some operator norms of random matrices

11:20 - 11:40 Break
11:40 - 12:30
Bill Helton (University of California, San Diego (UCSD))

Free (Real) Algebraic Geometry and Free Convexity

12:40 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Benoit Collins (Kyoto University)

Strong convergence for random permutations

3:30 - 3:50 Break
3:50 - 4:40
Roland Bauerschmidt (University of Cambridge)

Local Kesten--McKay Law for random regular graphs


Friday, May 18, 2018

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Ofer Zeitouni (Weizmann Institute of Science)

Convergence and outliers for perturbations of Toeplitz matrices
PDF Presentation
10:00 - 10:20 Break
10:20 - 11:10
Elizabeth Meckes (Case Western Reserve University)

Random matrices with prescribed eigenvalues

11:20 - 11:40 Break
11:40 - 12:30
Fanny Augeri (Weizmann Institute of Science)

Heavy-tail phenomena in the large deviations of random matrices
PDF Presentation
12:40 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
3:30 - 3:50 Break
3:50 - 4:40
Florent Benaych-Georges (Université de Paris V (René Descartes))

Extreme eigenvalues of Erdös-Rényi graphs
PDF Presentation