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<h1> School on Singularities in Algebraic Geometry <br>&<br> String Theory<br>
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July 8-17, 1999
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COURSES (Detailed)
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<a name="Aspinwall"><h3>Paul Aspinwall</h3></a>
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Singularities and String Duality
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<li> Riemannian manifolds and the sigma model.
<li> Orbifolds and the DHVW formula
<li> The B-field
<li> Mirror symmetry and the moduli space of complexified K\"ahler forms.
<li> Flops
<li> The Cartan-Leray spectral sequence and discrete torsion
<li> Duality and Du Val singularities on a K3 surface
<li> Representation theory on Calabi-Yau threefolds and anomaly cancellation of an algebraic singularity
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<a name="Le Dung-Trang"><h3>Le Dung-Trang</h3></a>
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Introduction to Algebraic Singularities
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<li> Definition of an algebraic singularity
<li> Plane curve singularities
<li> Introduction to hypersurface singularities
<li> Introduction to general singularities
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<a name="Narasimhan"><h3>M.S. Narasimhan</h3></a>
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Moduli Spaces of Vector and
G-bundles over Riemann Surfaces
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<li> Geometric invariant theory
<li> Construction of moduli spaces
<li> Singularities of the moduli spaces
<li> The theta line bundle and the Picard group
<li> Moduli spaces of principal G-bundles
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