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This is the unofficial seminar homepage of the GAPT group at Cardiff University.
The research interests of the GAPT group sweep a broad range of topics, from algebra, geometry, topology, including operator algebras, and non-commutative geometry in pure mathematics, to algebraic and conformal quantum field theory and integrable statistical mechanics in mathematical physics. Usually the seminar takes place every Thursday at 15:10. Speakers give 50 minute talks. In the autumn semester 2020 the GAPT seminar will be a virtual seminar on Zoom due to the Coronavirus pandemic. Past Events: |
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Upcoming Seminar Talks
Thursday, 8th October 2020 14:00 - 15:00 (note the different time) Zoom
César Galindo (Universidad de los Andes / Universität Hamburg) - please contact me to get the Zoom login data
Braided Zesting and its applications
In this talk, I will introduce a construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modular extensions of super-modular categories. We will present a complete obstruction theory and parametrisation approach to the construction and illustrate its utility with several examples.
The talk is based on the manuscript https://arxiv.org/abs/2005.05544 a joint work with Colleen Delaney, Julia Plavnik, Eric C. Rowell, and Qing Zhang.
Braided Zesting and its applications
In this talk, I will introduce a construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modular extensions of super-modular categories. We will present a complete obstruction theory and parametrisation approach to the construction and illustrate its utility with several examples.
The talk is based on the manuscript https://arxiv.org/abs/2005.05544 a joint work with Colleen Delaney, Julia Plavnik, Eric C. Rowell, and Qing Zhang.
Thursday, 22nd October 2020 15:10 - 16:00 Zoom
Jamie Walton (University of Nottingham) - please contact me to get the Zoom login data
Thursday, 29th October 2020 15:10 - 16:00 Zoom
Irakli Patchkoria (University of Aberdeen) - please contact me to get the Zoom login data
Thursday, 5th November 2020 15:10 - 16:00 Zoom
Eric Rowell (Texas A&M University) - please contact me to get the Zoom login data
Thursday, 12th November 2020 15:10 - 16:00 Zoom
Eleonore Faber (University of Leeds) - please contact me to get the Zoom login data
Thursday, 19th November 2020 15:10 - 16:00 Zoom
Marius Dadarlat (Purdue University) - please contact me to get the Zoom login data
Postponed Talks
Johannes Hofscheier (University of Nottingham)
The Cohomology Ring of Toric Bundles
Khovanskii and Pukhlikov observed that the cohomology ring of smooth projective toric varieties is completely described by the Bernstein-Kushnirenko theorem via the volume polynomial on the space of polytopes. In this talk, I will report on joint work with Khovanskii and Monin where we extend this approach to a description of the cohomology ring of equivariant compactifications of torus principal bundles by formulating respective Bernstein-Kushnirenko-type theorems. We conclude the presentation by explaining how this description of the cohomology ring can be used to compute the ring of conditions for horospherical homogeneous spaces.
The Cohomology Ring of Toric Bundles
Khovanskii and Pukhlikov observed that the cohomology ring of smooth projective toric varieties is completely described by the Bernstein-Kushnirenko theorem via the volume polynomial on the space of polytopes. In this talk, I will report on joint work with Khovanskii and Monin where we extend this approach to a description of the cohomology ring of equivariant compactifications of torus principal bundles by formulating respective Bernstein-Kushnirenko-type theorems. We conclude the presentation by explaining how this description of the cohomology ring can be used to compute the ring of conditions for horospherical homogeneous spaces.
Konstanze Rietsch (King's College London)
Mario Berta (Imperial College London)
