Folding of Hitchin systems and crepant resolutions

F Beck, R Donagi, K Wendland - … Mathematics Research Notices, 2022 - academic.oup.com
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 …

Hitchin and Calabi–Yau integrable systems via variations of Hodge structures

F Beck - The Quarterly Journal of Mathematics, 2020 - academic.oup.com
Since its discovery by Hitchin in 1987, G-Hitchin systems for a reductive complex Lie group
G have extensively been studied. For example, the generic fibers are nowadays well …

[HTML][HTML] Calabi–Yau orbifolds over Hitchin bases

F Beck - Journal of Geometry and Physics, 2019 - Elsevier
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 …

On the global moduli of Calabi-Yau threefolds

R Donagi, M Macerato, E Sharpe - arXiv preprint arXiv:1707.05322, 2017 - arxiv.org
In this note we initiate a program to obtain global descriptions of Calabi-Yau moduli spaces,
to calculate their Picard group, and to identify within that group the Hodge line bundle, and …

Aspects of Calabi-Yau integrable and Hitchin systems

F Beck - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2019 - emis.de
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 …

[图书][B] Towards a Self-dual Geometric Langlands Program

RT Derryberry - 2018 - search.proquest.com
Winners of Academy Awards, after gaining possession of the coveted statue, are given a
limited amount of time in which they traditionally attempt to thank as many people as …