Triangular Prism Equations and Categorification

Introduction

This course introduces to the pictorial reformulation of the Pentagon Equations (of a monoidal category) called Triangular Prism Equations, and apply it to the classification program of simple integral fusion categories, but also multiplicity-free or near-group fusion categories.

Lecturer Intro

・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...