Workshop II: Dynamics of Density Operators

Part of the Long Program Non-commutative Optimal Transport
April 28 - May 2, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 28, 2025

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks

Session Chair: Tryphon Georgiou (University of California Irvine)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Dimitri Shlyakhtenko (University of California, Los Angeles (UCLA))

Transport in free probability theory

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

Afternoon Session

Session Chair: Oliver Tse (Eindhoven University of Technology)
2:30 - 3:20
3:30 - 4:00 Break
4:00 - 4:50
Roy Araiza (University of Illinois at Urbana-Champaign)

Lipschitz Cost of Quantum Channels on von Neumann Algebras

5:00 - 5:15 Lightning Poster Round
5:00 - 6:30 Poster Session & Reception (Hosted by IPAM)

Tuesday, April 29, 2025

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)

Session Chair: Jean-Claude Zambrini (University of Lisbon)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
Melchior Wirth (Institute of Science and Technology Austria (IST Austria))

Completely positive maps and the V-transform

11:15 - 11:30 Break
11:30 - 12:20
Katy Craig (University of California, Santa Barbara (UCSB))

Vector Valued Optimal Transport: From Dynamic to Kantorovich Formulations
PDF Presentation
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Session Chair: Katy Craig (University of California, Santa Barbara (UCSB))
2:30 - 3:20
Franca Hoffmann (California Institute of Technology)

Covariance-Modulated Optimal Transport Geometry

3:30 - 4:00 Break
4:00 - 4:50

Wednesday, April 30, 2025

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)

Session Chair: Roy Araiza (University of Illinois at Urbana-Champaign)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
David Andrew Jekel (University of Copenhagen)

Relating entropy and Wasserstein distance in free probability
PDF Presentation
12:20 - 12:30 Group Photo
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Session Chair: Rocco Duvenhage (University of Pretoria)
2:30 - 3:20
Wilfrid Gangbo (University of California, Los Angeles (UCLA))

Viscosity solutions in non-commutative variables

3:30 - 4:00 Break
4:00 - 5:00 Core Working Group Presentations

Thursday, May 1, 2025

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)

Session Chair: Dima Shlyakhtenko (University of California Los Angeles (UCLA))
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Session Chair: Marius Junge (University of Illinois at Urbana-Champaign)
2:30 - 3:20
Ralph Sabbagh (University of California, Irvine (UCI))

On the Weyl symbols of Gaussian semigroups

3:30 - 4:00 Break
4:00 - 5:00 Core Working Group Presentations

Friday, May 2, 2025

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)

Session Chair: Eric Carlen (Rutgers University)
9:00 - 9:50
Marius Junge (University of Illinois at Urbana-Champaign)

Why Ricci curvature (almost) failed us in noncommutative dynamics.

10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Aaron Palmer (University of California, Los Angeles (UCLA))

Non-Commutative Optimal Control and Viscosity Solutions