Workshop II: Contact Geometry, Cluster Algebras and Skein Theory
Workshop II: Contact Geometry, Cluster Algebras and Skein Theory supports researchers through a workshop exploring geometric and algebraic connections to advance symplectic geometry, cluster algebras, and skein theory.
This grant was recently updated
You can now register online for the October 26–29, 2026 workshop, previously listed as full; register early because registration closes when capacity is reached. Financial support applications are closed, and registration fees range from $10 to $100 depending on your participant category.
Funder: Institute for Pure and Applied Mathematics
Due Dates: October 26–29, 2026 (Workshop) | Until capacity is reached (Registration) | Closed (Financial support applications)
Funding Amounts: Financial support applications are closed; registration fees range from $10 to $100 by participant category.
Summary: This IPAM workshop brings together researchers exploring connections among contact and symplectic geometry, cluster algebras, skein theory, and quantum topology.
Description
Run by the Institute for Pure and Applied Mathematics (IPAM) at UCLA, this workshop is part of the long program Quantum Topology, Character Varieties and Low-Dimensional Geometry. It explores connections between Legendrian knots and submanifolds, their Lagrangian fillings, and cluster algebras through Floer theory and microlocal sheaf theory. The goal is to bring the symplectic and cluster communities together to advance both fields through shared insights.
A related focus links skein theory to Floer theory, symplectic field theory, and string topology. The workshop brings experts in these areas together with quantum topologists to explore how geometric insights may illuminate skein theory, including positivity questions and its roles in low-dimensional manifold and knot invariants, quantum topology, and representation theory.
