Latest NewsGeometry Crossing Singularities
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TIMS 2024 Summer Program in Geometry
July 10 - 20, 2024
Room 202, Astronomy Mathematics Bldg., NTU
Aim & Scope
Singularity is ubiquitous and has become the main focus in the study of mathematics and physics. It not only provides a proper place to study generalizations of theories on smooth objects but also carries information to bridge two different models and their geometry. The 2024 TIMS Summer Program aims to bring together scholars in related areas and provide an opportunity to exchange their ideas. We will be focusing on recent developments of differential geometry, algebraic geometry, as well as quantum geometry related to conifold transitions and beyond, from both mathematical and physical aspects. Through the program, we hope to promote collaborations and benefit local young scholars at all levels.
| Summer School | ||
| Date: July 10 - 12, July 15 - 17 | ||
| Speakers and topics | ． | Tristan Collins ( University of Toronto ) A mini-course on conifold transitions |
| ． | Marco Gualtieri ( University of Toronto ) Introduction to generalized Kaehler structures | |
| ． | Chao-Ming Lin ( Ohio State University ) Sigma-curvature equations | |
| ． | Sebastien Picard ( University of British Columbia ) Strominger systems | |
| ． | Mauricio Romo ( Fudan University & SIMIS ) M-theory and enumerative invariants | |
| ． | Alessandro Tomasiello ( University of Milano-Bicocca ) Supergravity and generalized geometry | |
| Workshop: Geometry crossing singularities | ||
| Date: July 18 - 20 | ||
| Invited Speakers | ． | Shih-Kai Chiu ( Vanderbilt University ) |
| ． | Tristan Collins ( University of Toronto ) | |
| ． | Teng Fei* ( Rutgers University ) | |
| ． | Chin-Yu Hsiao ( Academia Sinica ) | |
| ． | Tsung-Ju Lee ( National Cheng Kung University ) | |
| ． | Chao-Ming Lin ( Ohio State University ) | |
| ． | Yu-Shen Lin ( Boston University ) | |
| ． | Sebastien Picard ( University of British Columbia ) | |
| ． | Mauricio Romo ( Fudan University & SIMIS ) | |
| ． | Sz-Sheng Wang ( Academia Sinica ) | |
| *Online | ||
| A detailed schedule (80min per lecture) | ||
| July 10 - 12 | ||
| 09:00 - 10:20 | Tristan Collins Geometric transitions and Calabi-Yau manifolds | |
| 10:40 - 12:00 | Chao-Ming Lin Sigma-curvature equations | |
| 14:00 - 15:20 | Mauricio Romo M-theory and Enumerative Invariants | |
| 15:40 - 17:30 | Homework Session & Discussion | |
| July 15 | ||
| 09:00 - 10:20 | Sebastien Picard The Strominger System | |
| 10:40 - 12:00 | Alessandro Tomasiello Supergravity and generalized geometry Lecture Note | |
| 15:40 - 17:30 | Homework Session & Discussion | |
| July 16 - 17 | ||
| 09:00 - 10:20 | Sebastien Picard The Strominger System | |
| 10:40 - 12:00 | Marco Gualtieri* Introduction to generalized Kaehler structures Lecture Note | |
| 14:00 - 15:20 | Alessandro Tomasiello Supergravity and generalized geometry Lecture Note | |
| 15:40 - 17:30 | Homework Session & Discussion | |
| Workshop (60min per lecture) | ||
| July 18 | ||
| 09:00 - 10:00 | Sebastien Picard Crossing singularities into non-Kahler complex geometry | |
| 10:30 - 11:30 | Chao-Ming Lin On the solvability of general inverse $\sigma_k$ equations | |
| 13:30 - 14:30 | Tsung-Ju Lee On the finite distance problem of the moduli space of Calabi--Yau ddbar-manifolds | |
| 15:00 - 16:00 | Shih-Kai Chiu Special Lagrangian submanifolds in K3-fibered Calabi-Yau 3-folds | |
| 16:00 - 17:30 | Discussion | |
| July 19 | ||
| 09:00 - 10:00 | Tristan Collins Complete Calabi-Yau metrics, optimal transport and free boundaries | |
| 10:30 - 11:30 | Sz-Sheng Wang Extremal transitions and Gromov--Witten invariants of Calabi--Yau 3-folds | |
| 13:30 - 14:30 | Mauricio Romo Quantum Trace and Length Conjecture | |
| 15:00 - 16:00 | Chin-Yu Hsiao Geometric quantization on CR manifolds and complex manifolds with boundary | |
| 16:30 - 17:30 | Disscusion | |
| July 20 | ||
| 09:00 - 10:00 | Teng Fei* Degeneration of Calabi-Yau 3-folds and 3-forms Talk Slide | |
| 10:30 - 11:30 | Yu-Shen Lin Special Lagrangians, Donaldson-Scaduto Conjecture and Mirror Symmetry | |
| 11:30 - 12:30 | Disscusion | |
| Organizers | ． | Wu-yen Chuang ( TIMS & National Taiwan University ) |
| ． | Tsung-Ju Lee ( National Cheng Kung University ) | |
| ． | Chin-Lung Wang ( TIMS & National Taiwan University ) | |
| Sponsors | ． | Taida Institute for Mathematical Sciences ( TIMS ) |
| National Taiwan University ( NTU ) | ||
| National Science and Technology Council ( NSTC ) | ||
| Registration | ． | Please click here or scan the the QR code below for registration by July 1. |
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