Low-dimensional topology and symplectic dynamics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915541417984000 |
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| author | Cristofaro-Gardiner, Dan |
| author_facet | Cristofaro-Gardiner, Dan |
| contents | These are notes to accompany my lectures at the $2024$ "Current Developments in Mathematics" conference hosted by Harvard/MIT. The lectures were about some recent progress in our understanding of two and three dimensional dynamical systems, using in part some tools from low-dimensional topology. In these notes, I try to give a sense for how this works by discussing a few examples from problems I have worked on and surveying some related developments. Some symplectic variants of Weyl's law play a key role. I also briefly comment on some other developments and on the relationship with what is known in higher dimensions. The lectures themselves are available online. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-dimensional topology and symplectic dynamics Cristofaro-Gardiner, Dan Symplectic Geometry Dynamical Systems These are notes to accompany my lectures at the $2024$ "Current Developments in Mathematics" conference hosted by Harvard/MIT. The lectures were about some recent progress in our understanding of two and three dimensional dynamical systems, using in part some tools from low-dimensional topology. In these notes, I try to give a sense for how this works by discussing a few examples from problems I have worked on and surveying some related developments. Some symplectic variants of Weyl's law play a key role. I also briefly comment on some other developments and on the relationship with what is known in higher dimensions. The lectures themselves are available online. |
| title | Low-dimensional topology and symplectic dynamics |
| topic | Symplectic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2510.07680 |