CHANGE seminar
CHallenges in ANalysis and GEometry
Welcome to our Oberseminar on special Lagrangian submanifolds (SL). The seminar will be held in Aula Seminari, Povo 0.
| Monday | 01.09.2025 | ||
| 10:00 – 12:00 |
Alessandro Carlotto | Calibrations. Standard structures on ℂm. Equivalent definitions of SL. Smooth and singular examples. | [1, 2] |
| Monday | 15.09.2025 | ||
| 10:00 – 12:00 |
Luciano Luzzi | Complex, symplectic, Kähler and Calabi–Yau manifolds and SL; Harvey–Lawson Theorem. | [0, 3, 15] |
| Monday | 22.09.2025 | ||
| 10:00 – 12:00 |
Mario Schulz | Theorems of McLean and Marshall about the total moduli space of SL deformations in the smooth case – Part 1: Linearization, Surjectivity Problem | [5, § 3] |
| Monday | 29.09.2025 | ||
| 10:00 – 12:00 |
David Wiygul | Theorems of McLean and Marshall about the total moduli space of SL deformations in the smooth case – Part 2: Restricting the Codomain, Conclusion | [5, § 3] |
| Monday | 06.10.2025 | ||
| 10:00 – 12:00 |
David Wiygul | Singular and/or non-compact SL. Analytic prerequisites. | [5, § 4] |
| Monday | 13.10.2025 | ||
| 10:00 – 12:00 |
Alessandro Carlotto | Singular and/or non-compact SL. The case of conifolds, examples and overview of the construction and classification results | [5, 6] |
| Monday | 20.10.2025 | ||
| 10:00 – 12:00 |
Mario Schulz | Infinitesimal deformation of non-compact SL conifolds | [5] |
| Monday | 27.10.2025 | ||
| 10:00 – 12:00 |
Luciano Luzzi | Deformation theorem (in the large) for SL conifolds and geometric applications | [5] |
| Monday | 03.11.2025 | ||
| 10:00 – 12:00 |
Alessandro Carlotto | Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem | [7] |
| Monday | 10.11.2025 | ||
| 10:00 – 12:00 |
David Wiygul | Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem | [7] |
| Monday | 17.11.2025 | ||
| 10:00 – 12:00 |
Luciano Luzzi | Example of compact special Lagrangians with a stable singularity | [8] |
| Monday | 01.12.2025 | ||
| 10:00 – 12:00 |
Mario Schulz | Comparing variational problems: SL vs. Hamiltonian stationary. Existence problems for least area Lagrangian sub manifolds | [10, 11, 12] |
| Monday | 08.12.2025 | ||
| 10:00 – 12:00 |
Alessandro Carlotto | Comparing variational problems: SL vs. Hamiltonian stationary. Existence problems for least area Lagrangian sub manifolds | [10, 11, 12] |
| Monday | 15.12.2025 | ||
| 10:00 – 12:00 |
David Wiygul | Free boundary versions of the problems above | [13] |
References
- R. Harvey, H. B. Lawson, Calibrated geometries, Acta Math. 148 (1982).
- What is geometric intuition of special Lagrangian manifolds?
- Examples of special Lagrangian submanifolds.
- D. Joyce, Lectures on special Lagrangian geometry, (2001).
- N. Hitchin, Lectures on Special Lagrangian Submanifolds, (1999).
- S. P. Marshall, Deformations of special Lagrangian submanifolds, PhD Thesis (2002).
- M. Haskins, N. Kapouleas, Special Lagrangian cones with higher genus links, (2005).
- M. Haskins, T. Pacini, Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem, (2006).
- Y. Imagi, Example of Compact Special Lagrangians with a Stable Singularity, (2016).
- Y. Imagi, Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities, (2025).
- R. Schoen, J. Wolfson, Minimizing area among Lagrangian surfaces: the mapping problem, (2000).
- F. Gaia, G. Orriols, T. Rivière, A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities, (2023).
- F. Gaia, Hamiltonian stationary maps with infinitely many singularities, (2024).
- F. Gaia, Free boundary Hamiltonian stationary Lagrangian discs, (2024).
- T. C. Collins, An introduction to conifold transitions, (2025).
- W. Ballmann, Lectures on Kähler Manifolds, (2010).