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Classification of Algebraic Varieties

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If you have a question about this talk, please contact Adrian Dawid.

We present the birational classification of complex algebraic varieties, namely their division into fibrations of canonically polarized, Calabi-Yau, and Fano varieties. We then give a brief introduction to moduli theory and describe some applications to elliptic fibrations and moduli spaces of curves. If time permits, we will apply this theory to derive the Enriques-Kodaira classification of algebraic surfaces.

This talk is part of the Junior Geometry Seminar series.

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