The strange duality conjecture for generic curves

Belkale, Prakash¹

¹ Department of Mathematics, University of North Carolina-Chapel Hill, CB #3250, Phillips Hall, Chapel Hill, North Carolina 27599

Journal of the American Mathematical Society, Tome 21 (2008) no. 1, pp. 235-258

Résumé

Let $X$ be a smooth connected projective algebraic curve of genus $g\geq 1$. The strange duality conjecture connects non-abelian theta functions of rank $r$ and level $k$ and those of rank $k$ and level $r$ on $X$ (for $SU(r)$ and $\operatorname {U}(k)$, respectively). In this paper we prove this conjecture for $X$ generic in the moduli space of curves of genus $g$.

Détail

DOI : 10.1090/S0894-0347-07-00569-3

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