Modules over a vertex operator algebra V give rise to sheaves of coinvariants on moduli of
stable pointed curves. If V satisfies finiteness and semi-simplicity conditions, these sheaves …

We show that principal bundles for a semisimple group on an arbitrary affine curve over an
algebraically closed field are trivial provided that the order of the π1 of the group is invertible …

Studying degenerations of moduli spaces of semistable principal bundles on smooth curves
leads to the problem of studying moduli spaces on singular curves. In this note, we will see …

We prove finite generation of the algebra of type A conformal blocks over arbitrary stable
curves of any genus. As an application, we construct a flat family of irreducible normal …

For a simple Lie algebra of type A or C and a genus g≥ 2, we show that the conformal
blocks algebra on M¯ g is finitely generated and relate conformal blocks over singular …

Here we consider higher Chern classes of vector bundles of conformal blocks on $\overline
{\operatorname {M}} _ {0, n} $, giving explicit formulas for them, and extending various …

The thesis contains two separate problems (chapters I & II respectively). In the first problem,
we prove finite generation of the conformal blocks algebra associated to a stable curve of …

In the study of moduli spaces of vector or principal bundles over smooth projective curves
and their properties, one may use degenerations to singular curves. Motivated by this …

arXiv:1606.00507v2 [math.AG] 26 Aug 2019 Page 1 THE GORENSTEIN PROPERTY FOR
PROJECTIVE COORDINATE RINGS OF THE MODULI OF PARABOLIC SL2-PRINCIPAL …