Abstract: In this short sequence of lectures we will discuss the notion of special Kaehler structure and some of its links to complex algebraic geometry, in particular, complex Lagrangians, variations of Hodge structures and algebraic integrable systems. The sequence will conclude with examples related to various moduli spaces of Higgs bundles on curves.

Abstract: In this short sequence of lectures we will discuss the notion of special Kaehler structure and some of its links to complex algebraic geometry, in particular, complex Lagrangians, variations of Hodge structures and algebraic integrable systems. The sequence will conclude with examples related to various moduli spaces of Higgs bundles on curves.

The goal of the conference is to bring together world-renowned and early-career researchers working in the field of algebraic geometry, low-dimensional topology, complex geometry and commutative algebra and foster discussions around singularities in topology, metric geometry, algebraic geometry, dynamical systems and mirror symmetry. The meeting also seeks to provide an opportunity for young scholars from Eastern Europe to engage with cutting edge research in the area.

In this course we will connect the theory of Topological modular forms with classical singularity theory. Other applications will be considered.