### (k,l)-stability

Mata Gutierrez, O *(CIMAT)*

Thursday 10 February 2011, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

Narasimhan and Ramanan introduced the concept of (k,l)-stability for vector bundles over projective curves. They used the (0,1) and (1,1)-stability to compute the deformations of the moduli space M(n,d) of stable vector bundles and to define the Hecke cycles. In this lecture I will present some properties of (k,l)-stability for any k and l and describe the set A(k,l) of (k,l)-stable in terms of the Segre invariants. For certain values of k and l I will give the relation between A(k,l) and the Hilbert scheme of M(n,d).

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