# Seminar za algebru, ZCI QuantixLie

lokacija:
PMF Matematički odsjek
vrijeme:
22.05.2018 - 14:00 - 15:30
U utorak   22. 5. 2018. u okviru Seminara za algebru   i ZCI-a QuantiXLie
Ching Hung Lam, Institute of Mathematics, Academia Sinica, Taipei, Taiwan
održat će predavanje pod naslovom

Inertia groups and uniqueness of holomorphic VOAs of central charge 24.

Seminar počinje   u 14:00  u predavaonici 104. Pozivaju se svi
članovi seminara i svi zainteresirani da prisustvuju predavanju.

Abstract:  In this talk, we will first give a short review about
the recent progress towards the classification of holomorphic
VOAs of central charge 24.
We then discuss some subgroup of the automorphism groups of certain
holomorphic VOAs of central charge 24  which acts trivially on
the weight one Lie algebras.  Using these groups, one can show that
there exists a unique strongly regular holomorphic VOA of central charge
$24$, up to isomorphism if its weight one Lie algebra has the type
$C_{4,10}$, $D_{7,3}A_{3,1}G_{2,1}$, $A_{5,6}C_{2,3}A_{1,2}$,
$A_{3,1}C_{7,2}$, $D_{5,4}C_{3,2}A_{1,1}^2$, or $E_{6,4}C_{2,1}A_{2,1}$.
Combining with the known results, we know that the VOA structure of
a strongly regular holomorphic VOA of central charge $24$ is uniquely
determined by its weight one Lie algebra  if $V_1\neq 0$.