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The strange duality conjecture for generic curves
Authors:Prakash Belkale
Institution:Department of Mathematics, University of North Carolina-Chapel Hill, CB \#3250, Phillips Hall, Chapel Hill, North Carolina 27599
Abstract: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$.

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