Arborealization of singularities of Lagrangian skeleta
March 26 to March 30, 2018
American Institute of Mathematics,
San Jose, California
and Laura Starkston
This workshop 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
Arboreal skeleta as generalizations of smooth manifolds.
Calculations of symplectic invariants of Weinstein manifolds from their skeleta.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.