| GASC Seminar |
| Stability conditions and Stokes factors |
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Abstract: This talk will be concerned with stability conditions on an abelian category A, a notion introduced by Bridgeland which generalises that of Mumford stability for vector bundles over a curve. The space Stab(A) of all such conditions has the structure of a complex manifold and has attracted a lot of attention recently. D. Joyce defined invariants which count, in a suitable sense, semistable objects in A and showed how to organise these in a holomorphic generating function on Stab(A) which satisfies an intriguing non-linear PDE. After reviewing his work, I will explain how the transformation rules of Joyce's invariants and his PDE can be understood as Stokes phenomena. The latter describe the monodromy of solutions of ODE's on the complex plane around irregular singularities, that is poles of order greater or equal to 2. This is joint work with Tom Bridgeland. |
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Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. |
| GASC Seminar Home Page | Posted: January 23, 2008. |
| Web page: Alexandru I. Suciu | URL: http://www.math.neu.edu/gasc/abs/toledanolaredo08.html |