MIC-MTU-UCC Quantum Mathematics
Group Information
Quantum Mathematics is a regional work group in Ireland which comprises researchers from Mary Immaculate College (MIC), Munster Technological University (MTU) and University College Cork (UCC).
Contacts
Claus Koestler, UCC Boole Center for Research in Informatics, UCC School of Mathematical Sciences
Arundhathi Krishnan, MIC Department of Mathematics and Computer Studies
J.P. McCarthy, MTU Department of Mathematics
Stephen Wills, UCC School of Mathematical Sciences
Preprints and Publications
Quantum Mathematics Seminar 2024
All meetings take place in Room 156 of Western Gateway Building, University College Cork, unless announced differently.
Upcoming Discussions/Talks
Tuesday, 14. May 2024, 10:00 - 11:30
Venue: Western Gateway Building, Room G.13
Title: A quantum Frucht's Theorem?
Speaker: J.P. McCarthy, Munster Technological University
Past Discussions/Talks 2024
Tuesday, 7. May 2024, 10:30 -12:00
Venue: Western Gateway Building, Room G.13
Title: Introduction to CAR algebras III
Speaker: Stephen Wills, University College Cork
Wednesday, 1. May 2024, 14:00 - 15:30
(cancelled)
Wednesday, 24. April 2024, 14:00 - 15:30
Title: Introduction to CAR algebras II
Speaker: Stephen Wills, University College Cork
Wednesday, 17. April 2024, 14:00 - 15:30
Title: Introduction to CAR algebras I
Speaker: Stephen Wills, University College Cork
Wednesday, 10. April, 14:00 - 15:30
(Cancelled)
Wednesday, 3. April, 14:00 - 15:30
(No Meeting - Easter Break)
Wednesday, 27. March 2024, 14:00 - 15:30
(No meeting - Easter Break)
Wednesday, 20. March 2024, 14:00 - 15:30
Title: Temperley-Lieb algebras from the viewpoint of noncommutative probability
Speaker: Claus Koestler, University College Cork
Wednesday, 13. March 2024, 15:00 - 16:00
Venue: Western Gateway Building, Room G.09
Title: New hyperfinite subfactors with small Jones index
Speaker: Dietmar Bisch, Vanderbilt University
Abstract: Since Vaughan Jones introduced the theory of subfactors in 1983, it has been an open problem to determine the set of Jones indices of irreducible, hyperfinite subfactors. Unfortunately, not much is known about this set. My student Julio Caceres and I could recently show that certain indices between 4 and 5 are realized by new hyperfinite subfactors with Temperley-Lieb-Jones standard invariant. This leads to a conjecture regarding Jones' problem. Our construction involves commuting squares, a graph planar algebra embedding theorem, and a few tricks that allow us to avoid solving large systems of linear equations to compute invariants of our subfactors. If there is time, I will explain a criterion that detects when a hyperfinite subfactor is not a commuting square subfactor.
Wednesday, 6. March 2024, 14:00 - 15:30
Title: Spreadability as a distributional invariance principle
Speaker: Claus Koestler, University College Cork
Wednesday, 28. February 2024, 14:00 - 15:30
Title: A central limit theorem in the framework of the Thompson group F (Part 2)
Speaker: Arundhathi Krishnan, Mary Immaculate College
Wednesday, 21. February 2024, 14:00 - 15:30
Title: A central limit theorem in the framework of the Thompson group F (Part 1)
Speaker: Arundhathi Krishnan, Mary Immaculate College
Wednesday, 14. February 2024, 14:00 - 15:30
Topic: An introduction to abstract reduction systems
Speaker: Arundhathi Krishnan, Mary Immaculate College
Wednesday, 7. February 2024, 14:00 - 15:30
Title: Tracing the orbitals of the quantum permutation group (notes)
Speaker: J.P. McCarthy, Munster Technological University
Wednesday, 31. January 2024, 14:00 - 15:30
Title: An introduction to the orbitals of quantum permutation groups (notes)
Speaker: J.P. McCarthy, Munster Technological University
Wednesday, 24. January 2024, 14:00 - 15:30
Title: An introduction to algebraic central limit theorems
Speaker: Claus Koestler, University College Cork
Wednesday, 17. January 2024, 14:00 - 15:30
Title: An introduction to distributional invariance principles
Speaker: Claus Koestler, University College Cork
Some Conferences/Workshops
Quantum Information, Quantum Groups and Operator Algebras
Cambridge (UK), 4 November - 6 December 2024
UK Operator Algebras Conference
Newcastle (UK), 12 - 14 June 2024
Noncommutative Analysis on Groups and Quantum Groups (ANCG)
Besançon (France), 18 - 21 December 2023
BCRI Mini-Symposium: Logic, Semantics and Complexity in Computer Science
Cork (Ireland), 17 October 2023
Thematic Program on Operator Algebras and Applications
Toronto (Canada), 1 July - 31 December 2023
Operator Algebras: Subfactors and Applications
Cambridge (UK), 26 - 30 June 2023
Women in Operator Algebras III
Banff (Canada), 25 - 30 June 2023
BCRI Mini-Symposium: Noncommutative Probability & Quantum Information
Cork (Ireland), 10 October 2022
Noncommutative probability, noncommutative harmonic analysis and related topics, with applications
Będlewo (Poland), 31 July - 6 August 2022.
Operator Algebras: Subfactors, K-theory, Conformal Field Theory (David Evans 70)
Gregynog (UK), 27 July - 2 August 2022
Wales Mathematics Colloquium
Gregynog (UK), 23-25 May 2022
Women in Operator Algebras II
Banff (Canada), 5 - 10 December 2021
Women in Operator Algebras I
Banff (Canada), 4 - 9 November 2018
BCRI Mini-Symposium: Markovianity and Symmetry
Cork (Ireland), 10 September 2018
Structure of Operator Algebras: Subfactors and Fusion Categories
Cambridge (UK), 23 - 27 January 2017
George Boole Mathematical Sciences Conference
Cork (Ireland), 17 - 28 August 2015