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Kirwan blow-ups and moduli spaces

Tuesday 25th January 2011 - 11:30 to 12:30
INI Seminar Room 1
Kirwan's partial desingularization is a sequence of blow-ups which systematically resolves the strictly semistable points in geometric invariant theory. In this talk, I will discuss various examples of moduli spaces constructed by Kirwan blow-ups such as the moduli space of stable maps of degree 2, the moduli space of Hecke curves and the moduli space of weighted pointed rational curves. If time permits, I will also talk about a joint project with Jun Li in which we study wall crossing and (generalized) Donaldson-Thomas type invariants by using Kirwan blow-ups.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons