PIRSA:16040076

Symplectic and Lagrangian structures on mapping stacks

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2016},
            month = {apr},
            note = {PIRSA:16040076 see, \url{https://scivideos.org/pirsa/16040076}}
          }
          

Theodore Spaide Universität Wien

Talk numberPIRSA:16040076
Talk Type Conference

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.