Workshop I: Expected Characteristic Polynomial Techniques and Applications

Part of the Long Program Quantitative Linear Algebra
April 9 - 13, 2018

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 9, 2018

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks (Illumination Room)
9:00 - 9:50
Nikhil Srivastava (University of California, Berkeley (UC Berkeley))

Square convolutions and regular expanders
Presentation (PowerPoint File)

 
10:00 - 10:25 Break
10:25 - 11:15
Adam Marcus (Princeton University)

Rectangular convolutions and biregular expanders

 
11:25 - 11:50 Break
11:50 - 12:40
Vadim Gorin (Massachusetts Institute of Technology)

Convolutions and fluctuations: free, finite, quantized.
PDF Presentation

 
12:50 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Raj Rao Nadakuditi (University of Michigan)

Free component analysis

 
3:30 - 3:55 Break
3:55 - 4:45
Nick Ryder (University of California, Berkeley (UC Berkeley))

Developments with $b-$ and $q-$ finite free convolutions
PDF Presentation

 

Tuesday, April 10, 2018

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Thomas Liggett (University of California, Los Angeles (UCLA))

Approximating Multiples of Strong Rayleigh Random Variables
PDF Presentation

 
10:00 - 10:25 Break
10:25 - 11:15
Octavio Arizmendi (Center of Investigations in Mathematics (CIMAT))

Cumulants for finite free convolution

 
11:25 - 11:50 Break
11:50 - 12:40
12:50 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Alexandra Kolla (University of Colorado Boulder)

Spectra of Symmetric Matrix Signings

 
3:30 - 3:55 Break
3:55 - 4:45
Nik Weaver (Washington University in St. Louis)

What is "quantum" graph theory?

 
5:00 - 6:30 Reception (Location: IPAM Lobby)

Wednesday, April 11, 2018

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Alexander Gamburd (The Graduate Center, CUNY)

Expected Characteristic Polynomials from Classical Groups: Proofs and Applications

 
10:00 - 10:25 Break
10:25 - 11:15
Pierre Youssef (Université de Paris VII (Denis Diderot))

Restricted invertibility with and without interlacing

 
11:25 - 11:50 Break
11:50 - 12:40
Shayan Oveis Gharan (University of Washington)

Stability Preservers and Applications
PDF Presentation

 
12:50 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Mohan Ravichandran (Mimar Sinan University)

Multi-paving

 
3:30 - 3:55 Break
3:55 - 4:45
Marcin Bownik (University of Oregon)

On Akemann-Weaver Conjecture
PDF Presentation

 

Thursday, April 12, 2018

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Terence Tao (University of California, Los Angeles (UCLA))

Heat flow, zeroes, and the de Bruijn-Newman constant

 
10:00 - 10:25 Break
10:25 - 11:15
Sorin Popa (University of California, Los Angeles (UCLA))

Approximating freeness under constraints

 
11:25 - 11:50 Break
11:50 - 12:40
Jonathan Leake (University of California, Berkeley (UC Berkeley))

Extending the Borcea-Brändén Characterization
PDF Presentation

 
12:50 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:30 Problem Session
3:30 - 3:55 Break
3:45 - 5:00 Open Discussion

Friday, April 13, 2018

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
10:00 - 10:25 Break
10:25 - 11:15
Alexander Barvinok (University of Michigan)

The computational complexity of mixed discriminants

 
11:25 - 11:50 Break
11:50 - 12:40
Peter Varju (University of Cambridge)

Irreducibility of random polynomials

 
12:50 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
3:30 - 3:55 Break