The 6D (2, 0) theory has codimension-one symmetry defects associated to the outer-
automorphism group of the underlying the simply-laced Lie algebra of ADE type. These …

This brief survey aims to set the stage and summarize some of the ideas under discussion at
the Workshop on Singular Geometry and Higgs Bundles in String Theory, to be held at the …

Folding of ADE-Dynkin diagrams according to graph automorphisms yields irreducible
Dynkin diagrams of-types. This folding procedure allows to trace back the properties of the …

Any irreducible Dynkin diagram Δ is obtained from an irreducible Dynkin diagram Δ h of type
ADE by folding via graph automorphisms. For any simple complex Lie group G with Dynkin …

This thesis consists of two parts, each of which can be read independently. The first part is
about mirror symmetry of Fano varieties and related topics. We introduce the notion of a …

In the present notes we explain the relationship between Calabi-Yau integrable systems and
Hitchin systems based on work by Diaconescu-Donagi-Pantev and the author. Besides a …

It was shown by Diaconescu, Donagi, and Pantev that Hitchin systems of type ADE are
isomorphic to certain Calabi–Yau integrable systems. In this paper, we prove an analogous …

The first part of the thesis is a joint work with Sukjoo Lee. It was shown by Diaconescu,
Donagi and Pantev that Hitchin systems of type ADE are isomorphic to certain Calabi-Yau …