Workshop on New Geometry of Quantum Dynamics

August 12 - 16, 2019, The Fields Institute

Location: Fields Institute, Room 230

Schedule

Monday, August 12th, 2019
09:30 to 10:30	Around the functional equation Ryszard Nest, University of Copenhagen
10:30 to 11:00	Coffee break
11:00 to 12:00	Stability and groups Tatiana Shulman, IMPAN
12:00 to 14:00	Lunch
14:00 to 15:00	Newton divided differences, higher curved quantum tori, and scalar curvature Masoud Khalkhali, Western University
15:00 to 15:30	Coffee break
15:30 to 16:30	Reality condition for spectral triples. Andrzej Sitarz, Jagiellonian University and IMPAN
16:30 to 16:45	Break
16:45 to 17:45	Gauge theory on noncommutative Riemannian principal bundles Branimir Ćaćić, University of New Brunswick

Tuesday, August 13th, 2019
09:30 to 10:30	Cotangent bundles for "matrix algebras converge to the sphere" Marc A. Rieffel, University of California Berkeley
10:30 to 11:00	Coffee break
11:00 to 12:00	The spectral propinquity: a distance between metric spectral triples Frédéric Latrémolière, University of Denver
12:00 to 14:00	Lunch
14:00 to 15:00	Inductive limits of C*-algebras and compact quantum metric spaces Konrad Aguilar, Arizona State University
15:00 to 15:30	Coffee break
15:30 to 16:30	Multiplicative partial isometries and C*-algebraic quantum groupoids Byung-Jay Kahng, Canisius College
16:30 to 16:45	Break
16:45 to 17:45	Quantized twisted adjoint orbits and quantum symmetric spaces Kenny De Commer, Vrije Universiteit Brussel

Wednesday, August 14th, 2019
09:30 to 10:30	From pushouts of graphs to pullbacks of graph algebras Piotr M. Hajac, IMPAN and University of Colorado Boulder
10:30 to 11:00	Coffee break
11:00 to 12:00	Searching for Cartan pairs Sarah Reznikoff, Kansas State University
12:00 to 14:00	Lunch
14:00 to 15:00	Monic representations for higher-rank graph C*-algebras Judith Packer, University of Colorado Boulder
15:00 to 15:30	Coffee break
15:30 to 16:30	Matui’s HK conjecture for ample groupoids Carla Farsi, University of Colorado Boulder
16:30 to 16:45	Break
16:45 to 17:45	Cocycles on Deaconu-Renault groupoids, and KMS states for generalized gauge dynamics Leonard Huang, University of Nevada, Reno

Thursday, August 15th, 2019
09:30 to 10:30	Vector bundles over quantum odd-dimensional spheres Albert Sheu, University of Kansas
10:30 to 11:00	Coffee break
11:00 to 12:00	Milnor idempotents through Toeplitz projections Tomasz Maszczyk, University of Warsaw
12:00 to 14:00	Lunch
14:00 to 15:00	Cell complex structure of quantum projective spaces Francesco D'Andrea, University of Naples Federico II
15:00 to 15:30	Coffee break
15:30 to 16:30	Higher indices and cyclic cohomology. Alexander Gorokhovsky, University of Colorado Boulder
16:30 to 16:45	Break
16:45 to 17:45	Index theory on odd-dimensional manifolds Paul F. Baum, The Pennsylvania State University
18:30 to 20:30	Conference dinner

Friday, August 16th, 2019
09:30 to 10:30	Borsuk-Ulam-type conjectures, local triviality dimension and noncommutative principal bundles Jianchao Wu, Texas A&M University
10:30 to 11:00	Coffee break
11:00 to 12:00	Trivializing noncommutative bundles Alexandru Chirvasitu, SUNY at Buffalo
12:00 to 14:00	Lunch
14:00 to 15:00	Noncommutative Borsuk-Ulam-type conjecture: current status Ludwik Dabrowski, SISSA, Trieste
15:00 to 15:30	Coffee break
15:30 to 16:30	The weak Hilbert-Smith conjecture from a Borsuk-Ulam-type conjecture Mariusz Tobolski, IMPAN
16:30 to 16:45	Break
16:45 to 17:45	Spectral gravity models on multifractal Robertson-Walker cosmologies Matilde Marcolli, University of Toronto

Chairs for daily talks:

Monday - Frédéric Latrémolière

Tuesday - Masoud Khalkhali

Wednesday - Marc A. Rieffel

Thursday - Ludwik Dabrowski

Friday - Paul F. Baum & Ryszard Nest

Description

The mathematical scope of the program is within noncommutative geometry, quantum groups, graph C*- algebras, KK-theory, index pairing, C*-dynamical systems and crossed products, Dirac operators, spectral triples, curvature, and quantum Gromov-Hausdorff distance. There are a number unifying principles which establish connections among the proposed topics of the meeting. For example, dynamical systems link together graph C*-algebras and noncommutative metric geometry. We aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz norm and Dirac-operator approaches. This links the metric and spectral features of noncommutative geometry. A key research focus of the proposed activities is to make precise the impact of metric and spectral noncommutative geometry on noncommutative topology. Graph C*-algebras are an abundant source of examples which test the bridges between the topics of the proposed conference.

This workshop is part of the EU-funded focus program Quantum Dynamics taking place in the period 22 July - 16 August 2019. It is attended by the following participants:

1. Majid Bigdeli (University of Warsaw)
2. Ludwik Dabrowski (SISSA, Trieste)
3. Kenny De Commer (Vrije Universiteit Brussel)
4. Tomasz Maszczyk (University of Warsaw)
5. Devarshi Mukherjee (University of Copenhagen)
6. Ryszard Nest (University of Copenhagen)
7. Tatiana Shulman (IMPAN, Warsaw)
8. Andrzej Sitarz (IMPAN, Warsaw and Jagiellonian University, Cracow)
9. Mariusz Tobolski (IMPAN, Warsaw)
10. Mitsuru Wilson (IMPAN, Warsaw)

Registered Participants

Name	Affiliation
Konrad Aguilar	Arizona State University
Paul F. Baum	The Pennsylvania State University
Jonathan Belcher	University of Colorado Boulder
Majid Bigdeli	Mathematical
Samantha Brooker	Arizona State University
Branimir Ćaćić	University of New Brunswick
Alexandru Chirvasitu	SUNY at Buffalo
Ludwik Dabrowski	SISSA, Trieste
Francesco D'Andrea	University of Naples Federico II
Kenny De Commer	Vrije Universiteit Brussel
Carla Farsi	University of Colorado Boulder
Alexander Gorokhovsky	University of Colorado Boulder
Piotr M. Hajac	IMPAN and University of Colorado Boulder
Leonard Huang	University of Nevada, Reno
Byung-Jay Kahng	Canisius College
Masoud Khalkhali	Western University
Therese Landry	University of California, Riverside
Frédéric Latrémolière	University of Denver
Junhwi Lim	Pohang University of Science and Technology
Matilde Marcolli	University of Toronto
Tomasz Maszczyk	University of Warsaw
Devarshi Mukherjee	Department of Mathematical Sciences
Ryszard Nest	University of Copenhagen
Judith Packer	University of Colorado Boulder
Brian Reynolds
Sarah Reznikoff	Kansas State University
Marc A. Rieffel	University of California Berkeley
Sam Serra	University of Colorado Boulder
Albert Sheu	University of Kansas
Tatiana Shulman	IMPAN
Andrzej Sitarz	Jagiellonian University and IMPAN
Venkata Karthik Timmavajjula	University of New Brunswick
Mariusz Tobolski	IMPAN
Maria Grazia Viola	Lakehead University
Mitsuru Wilson	Institute of Mathematics of the Polish Academy of Sciences
Jianchao Wu	Texas A&M University
Chance Yung	University of Colorado