COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Examples of tropical-to-Lagrangian correspondence

## Examples of tropical-to-Lagrangian correspondenceAdd to your list(s) Download to your calendar using vCal - Grigory Mikhalkin, University of Geneva
- Wednesday 09 May 2018, 14:15-15:15
- CMS MR13.
If you have a question about this talk, please contact Mark Gross. According to SYZ philosophy the same tropical object should admit two ways to be lifted classically: as a complex object, and as a (T-dual) symplectic object. While the tropical-to-complex correspondence is relatively well-studied, tropical-to-symplectic correspondence remains significantly less well-studied up to date. In the talk we’ll look at some first instances of tropical- to-symplectic correspondence. As an application of such correspondence in the case of planar tropical curves we’ll reprove a theorem of Givental (from about 30 years ago) on Lagrangian embeddings of connected sums of Klein bottles to C^2. For tropical curves in toric 3-folds the resulting Lagrangians turn out to be Waldhausen graph-manifolds. For this case we’ll relate the enumerative multiplicity of tropical rational curves to the torsion in the first homology group of the corresponding Lagrangian submanifolds (in full compliance with Mirror Symmetry predictions). This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS MR13
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsStatistical Laboratory Open Afternoon Jane Street careers presentation Contemporary Political Theory## Other talksKiwi Scientific Acceleration on FPGA Quotation and the Law Nonstationary Gaussian process emulators with covariance mixtures Beating your final boss battle, or presenting with confidence and style (easy mode) Zoo and Wildlife Work The Design of Resilient Engineering Infrastructure Systems with Bayesian Networks |