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Faculty of mathematics, physics & computer science

Mathematics VIII Complex Analysis and Differential Geometry

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Topological, Algebraic, Differential Methods in Classification and Moduli Theory

Our project puts together several topics which are strictly interrelated to each other, either thematically or methodologically, and can tentatively be subdivided in four main sections. We expect substantial progress on all of these themes, resulting in a deeper understanding of moduli spaces, from the algebraic, topological and differential viewpoint, and in the classification of algebraic varieties. The interplay between transcendental and algebraic theory of moduli spaces leads also to arithmetic applications and sheds light on number theoretical issues.

  1. Moduli of curves with symmetries and applications to Rigidity and Galois Groups.
  2. Uniformization and Orbifold Uniformization.
  3. Topological methods in Moduli Theory.
  4. Classification and Moduli of surfaces with low invariants.

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