Sebastien Palcoux - Exotic Integral Quantum Symmetry

BIMSA Member Seminar
2023-12-04
Speaker: Sebastien Palcoux (BIMSA)

Former Title
Why study simple integral fusion categories?

Abstract

References

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six (with Zhengwei Liu, Yunxiang Ren), Lett. Math. Phys. 112 (2022), no. 3, Paper No. 54, 37 pp. DOI: 10.1007/s11005-022-01542-1,

Interpolated family of non group-like simple integral fusion rings of Lie type (with Zhengwei Liu and Yunxiang Ren), Internat. J. Math. 34 (2023), no. 6, Paper No. 2350030, 51 pp., DOI: 10.1142/S0129167X23500301,

Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification (with Linzhe Huang, Zhengwei Liu and Jinsong Wu), Int. Math. Res. Not., rnad214 (2023), DOI: 10.1093/imrn/rnad214,

Triangular prism equations and categorification (with Zhengwei Liu and Yunxiang Ren), arXiv:2203.06522, 33 pages,

Structure constants, Isaacs property and Extended-Haagerup fusion categories (with Sebastian Burciu), arXiv:2210.13936, 11 pages,

Classification of modular data of integral modular fusion categories up to rank 12 (with Max A. Alekseyev, Winfried Bruns, Fedor V. Petrov), arXiv:2302.01613, 23 pages,

Burnside type results for fusion rings (with Sebastian Burciu), arXiv:2302.07604, 60 pages,

Classification of 1-Frobenius simple integral fusion rings (with Winfried Bruns), work in progress.

Video and Slides

Speaker Introduction
・ 2010, obtained a doctorate from Institut de Mathématiques de Marseille (I2M),
・ 2014-2016, Postdoc in Institute of Mathematical Sciences (IMSc),
・ 2019, One-year visitor at Yau Mathematical Sciences Center (YMSC), Tsinghua University,
・ 2020-now, Assistant Professor in BIMSA.

Main Research Fields include Quantum Algebra, Quantum Symmetry, Subfactor, Planar Algebra and Fusion Category.

Published papers in the journals Advances in Mathematics, Quantum Topology, etc...

Speaker Homepages

Webpage of BIMSA Member Seminar

Playlist of the Quantum Symmetry Seminar:

On the slide 8/15 at 18:53, Moore-Seiberg (1989) should be completed by Turaev (1992).