Integrable models and deformations of vertex algebras via symmetric functions
Lead Research Organisation:
University of Glasgow
Department Name: School of Mathematics & Statistics
Abstract
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People |
ORCID iD |
| Christian Korff (Principal Investigator) |
| Description | Deformed Virasoro algebras and shifted quantum groups |
| Organisation | University of Tokyo |
| Country | Japan |
| Sector | Academic/University |
| PI Contribution | Expertise in describing deformed vertex operator algebras using lattice models from statistical mechanics. |
| Collaborator Contribution | Definition of a deformed Virasoro algebra related to Macdonald functions. |
| Impact | Research visit by Prof Junichi Shiraishi and workshop at the School of Mathematics and Statistics |
| Start Year | 2023 |
| Description | Exactly solvable lattice models and symmetric functions |
| Organisation | University of Amsterdam |
| Country | Netherlands |
| Sector | Academic/University |
| PI Contribution | Expertise on exactly solvable lattice models. Invited Dr Valentin Buciumas from the University of Amsterdam to a research visit and workshop to the UK. |
| Collaborator Contribution | Expertise in representation and number theory. |
| Impact | Workshop on integrable systems and symmetric functions. |
| Start Year | 2022 |
| Description | Quantum Knizhnik-Zamolodchikov Equations |
| Organisation | University of Amsterdam |
| Country | Netherlands |
| Sector | Academic/University |
| PI Contribution | Expertise on integrable lattice models |
| Collaborator Contribution | Representation theory of double affine Hecke algebras (Prof. Jasper Stokman) |
| Impact | Visit to the Korteweg-de-Vries Institute in October 2022 (host Prof. Jasper Stokman) and seminar on cylindric Hecke characters |
| Start Year | 2022 |
| Description | LMS Workshop on Integrable Systems and Symmetric Functions |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Postgraduate students |
| Results and Impact | Workshop bringing together researchers working at the interface of integrable systems and symmetric functions and representation theory. The workshop was run in hybrid format, with in person and online speakers from Australia, Europe, Japan and the U.S. Two preseminars were given to make the research talks accessible to postgraduate students and all talks were recorded as an important learning resource for postgraduate students. |
| Year(s) Of Engagement Activity | 2023 |
| URL | https://sites.google.com/view/lmsuog2023/home |