Mini Workshop:
Vertex Algebras and Related Topics
Algebra Seminar
Department of Mathematics, Faculty of Science, University of Zagreb
May 29, 2026
On Friday, May 29, a mini-workshop on vertex algebras
will be held as part of the Algebra Seminar.
The workshop will take place at PMF-MO, lecture room A102,
starting at 14:00 h.
Members of the seminar and all interested participants
are warmly invited to attend.
Organizers
Dražen Adamović
,
Veronika Pedić Tomić
Funding
Supported by the Croatian Science Foundation project
Affine vertex algebras and W-algebras
Grant IP-2022-10-9006
Program
14:00 – 14:50
Qing Wang
Xiamen University, China
Classification of irreducible ordinary modules
for affine vertex superalgebras
Abstract.
In this talk, we present our recent results on the classification
of irreducible ordinary modules for affine vertex superalgebras
at boundary admissible level.
This is joint work with Huaimin Li.
15:00 – 15:50
Ching Hung Lam
Academia Sinica, Taiwan
Extra automorphisms of cyclic orbifolds of lattice VOAs
Abstract.
Let \(V\) be a vertex operator algebra and let \(g\)
be an automorphism of \(V\) of finite order \(n\).
The fixed-point subspace
\[
V^{g} = \{\, v \in V \mid gv = v \,\}
\]
is a subVOA and is often called an orbifold subVOA.
It is clear that the orbifold VOA \(V^{g}\)
is preserved by
\[
N_{\mathrm{Aut}(V)}(\langle g \rangle),
\]
where
\(N_{\mathrm{Aut}(V)}(\langle g \rangle)\)
is the normalizer of
\(\langle g \rangle\)
in \(\mathrm{Aut}(V)\).
An automorphism
\[
\phi \in \mathrm{Aut}(V)
\]
is called an extra automorphism if
\(\phi\) is not induced from
an automorphism of \(V\).
In this talk, we discuss necessary and sufficient conditions
for the existence of extra automorphisms
for cyclic orbifolds of lattice VOAs.
—— 16:00 – 16:30 Coffee Break ——
16:30 – 17:20
Nina Yu
Xiamen University, China
Zhu Algebras of Permutation Orbifold Vertex Operator Algebras
Abstract.
In this talk, I will discuss the Zhu algebras associated
with permutation orbifold vertex operator algebras
and related topics.