Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Jie Min
Affiliation:

MPIM
Date:

Mon, 24/01/2022 - 15:00 - 16:00 For zoom details please contact T. Barthel, V. Ozornova, A. Ray, P. Teichner.

Miniseries abstract: The Fukaya category is an invariant of a symplectic manifold governing the intersection theory of its Lagrangian submanifolds, built from the pseudoholomorphic disks which bound these Lagrangians. One particularly important version for non-compact symplectic manifolds is the partially wrapped Fukaya category, which plays a prominent role in homological mirror symmetry. This miniseries will lead up to a toolbox for computing and studying structural properties of partially wrapped Fukaya categories. One of the key tools is a descent formula, i.e. a cosheaf property with respect to Weinstein sectorial coverings. We will emphasize concrete examples, and homological mirror symmetry will be a recurring point of reference.

Abstract of talk: This is meant to be a non-technical introduction to Fukaya categories. Fukaya categories are invariants of symplectic manifolds, containing intersection information of Lagrangian submanifolds, and play a vital role in Kontsevich's homological mirror symmetry conjecture. I will also introduce variants of Fukaya categories for exact symplectic manifolds and present some simple examples.

Attachment | Size |
---|---|

[4]Miniseries Symplectic topology 1.pdf [5] | 14.76 MB |

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/11169

[3] http://www.mpim-bonn.mpg.de/TopologySeminar

[4] http://www.mpim-bonn.mpg.de/webfm_send/668/1

[5] http://www.mpim-bonn.mpg.de/webfm_send/668