# Symplectic and Lagrangian structures on mapping stacks

### APA

Spaide, T. (2016). Symplectic and Lagrangian structures on mapping stacks. Perimeter Institute. https://pirsa.org/16040076

### MLA

Spaide, Theodore. Symplectic and Lagrangian structures on mapping stacks. Perimeter Institute, Apr. 19, 2016, https://pirsa.org/16040076

### BibTex

@misc{ pirsa_PIRSA:16040076, doi = {10.48660/16040076}, url = {https://pirsa.org/16040076}, author = {Spaide, Theodore}, keywords = {Mathematical physics}, language = {en}, title = {Symplectic and Lagrangian structures on mapping stacks}, publisher = {Perimeter Institute}, year = {2016}, month = {apr}, note = {PIRSA:16040076 see, \url{https://pirsa.org}} }

Universität Wien

Talk Type

**Subject**

Abstract

An important result in shifted symplectic geometry is the existence of shifted symplectic forms on mapping spaces with symplectic target and oriented source. I provide several examples of more complicated situations where stacks of maps shifted symplectic structures, or maps between them have Lagrangian structures. These include spaces of framed maps, pushforwards of perfect complexes, and perfect complexes on open varieties.