Symplectic Paradise

Basic Information

This is a residential summer school on the theme of translating notions in manifold topology to a symplectic setting.

It will take place Wednesday through Sunday, 16-20 August 2023, in Paradise Valley, Montana.

All participants must register; the registration deadline is 30 April 2023.*

* We are happy to work with anybody needing to finalize their travel plans before, or after, this deadline.  

Scientific Organizers.

Peter Haine (Institute for Advanced Study / UC Berkeley)

Xin Jin (Boston College)

David Nadler (UC Berkeley)

Event Organizers.

David Ayala (Montana State University)

Sam Gunningham (Montana State University)

Description.

The three Scientific Organizers will deliver lecture series on the theme of translating notions and results from manifold topology into a symplectic setting.  

For example, given a sheaf on a manifold X, one can associate its micro-support (or singular support) which is a conic Lagrangian subset of the cotangent bundle T*X. In this way, one is led to the idea that the category of sheaves on X naturally localizes over T*X. Replacing cotangent bundles T*X with more general symplectic manifolds (for example, Liouville or Weinstein manifolds) leads to the theory of micro-local sheaves, a topological approach to the Fukaya category. These notions have important applications, notably in the areas of mirror symmetry and geometric representation theory. 

The presentations will be targeted to novices in the field, such as advanced graduate students or postdocs, in the spirit of creating new colleagues. A working familiarity with algebraic topology and symplectic geometry, as well as some category theory, will be helpful. 

The workshop’s schedule will allow for mid-day discussions and walks & hikes.

All activities (presentations & discussions, meals, lodging) will take place at the North Yellowstone Lodge, located in Paradise Valley, just North of Yellowstone National Park.  Due to space constraints, the number of participants is limited to about 30. 

Please direct your inquiries to David Ayala:

david.ayala@montana.edu 

Registration and Funding.

Due to space and funding constraints, we ask that all participants register.  To register, please fill out the form on the Registration Page, which asks for basic personal information, as well as a brief statement about your research interests.

(Graduate students are asked to have a mentor submit a brief and informal recommendation by email to David Ayala.)

The registration deadline is 11:59pmMT on 30 April 2023. 

NSF-DMS Award 1945639 will cover all participants’ meals and lodging at the Lodge; funds to support travel are also available.  

Requesting such funds is part of the registration process.  Priority in funding decisions will be given to members of communities traditionally excluded from research mathematics, as well as people whose brief statement matches the spirit of the workshop (ie, of creating new colleagues).  Funding decisions will be announced by 3 May 2023.*

* We are happy to work with anybody needing to finalize their travel plans before, or after, this deadline.