## View abstract

### Session S16 - Quantum symmetries

Wednesday, July 14, 11:35 ~ 12:00 UTC-3

## Finiteness of the first chiral homology group

### Reimundo Heluani

#### IMPA , Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloak604955620ed441f20d54723312580f65').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addy604955620ed441f20d54723312580f65 = 'h&#101;l&#117;&#97;n&#105;' + '&#64;'; addy604955620ed441f20d54723312580f65 = addy604955620ed441f20d54723312580f65 + 'p&#111;t&#117;z' + '&#46;' + 'n&#101;t'; var addy_text604955620ed441f20d54723312580f65 = 'h&#101;l&#117;&#97;n&#105;' + '&#64;' + 'p&#111;t&#117;z' + '&#46;' + 'n&#101;t';document.getElementById('cloak604955620ed441f20d54723312580f65').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy604955620ed441f20d54723312580f65 + '\'>'+addy_text604955620ed441f20d54723312580f65+'<\/a>';

For a vertex algebra V and an elliptic curve X, it follows from Zhu's work that the degree zero chiral homology of X with coefficients in V is finite dimensional if V is $C_2$ cofinite. In this talk I will give a generalization of this condition to the degree 1 case.

Joint work with Jethro Van Ekeren (UFF, Niteroi).