Title：Reconstruction of tensor categories from their invariants
Speaker：Prof. Huixiang Chen
From： Yangzhou University
Time：4:30pm-5:30pm, 10 Sept
Abstract：In this paper, we study the tensor categories of finite rank over an algebraically closed field
$\mathbb F$. Given a data $(R, A, \phi, a)$ with some conditions supposed on it, where $R$ is a $\mathbb{Z}_+$-ring of rank $n$ over $\mathbb Z$, $A$ is a finite dimensional $\mathbb F$-algebra with a full set of $n$ primitive orthogonal idempotents, $\phi$ is an algebra map from $A\otimes_{\mathbb F}A$ to an algebra $M(R, A, n)$ constructed by $A$ and $R$, and $a=\{a_{i,j,l}|1\< i,j,l\
$\mathbb F$. Given a data $(R, A, \phi, a)$ with some conditions supposed on it, where $R$ is a $\mathbb{Z}_+$-ring of rank $n$ over $\mathbb Z$, $A$ is a finite dimensional $\mathbb F$-algebra with a full set of $n$ primitive orthogonal idempotents, $\phi$ is an algebra map from $A\otimes_{\mathbb F}A$ to an algebra $M(R, A, n)$ constructed by $A$ and $R$, and $a=\{a_{i,j,l}|1\< i,j,l\
