for this workshop
Arborealization of singularities of Lagrangian skeleta
American Institute of Mathematics, San Jose, California
Yakov Eliashberg, David Nadler, and Laura Starkston
This workshop, sponsored by AIM and the NSF, will be devoted to the study of Weinstein manifolds from the perspective of their skeleta. Weinstein manifolds are fundamental building blocks in symplectic geometry, generalizing the key example of cotangent bundles. Notably, they come equipped with singular isotropic skeleta generalizing the smooth zero-section of a cotangent bundle. The focus of the workshop will be on the construction and application of skeleta with arboreal singularities, mild singularities of a combinatorial nature. Such skeleta offer a natural generalization of smooth manifolds, and the workshop will develop their theory in order to study the symplectic topology of their surrounding Weinstein manifolds.
The main topics for the workshop are:
- Singularities of skeleta and their deformations to collections of simpler singularities.
- Arboreal skeleta as generalizations of smooth manifolds.
- Calculations of symplectic invariants of Weinstein manifolds from their skeleta.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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