PIRSA:16040076

Symplectic and Lagrangian structures on mapping stacks

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

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

          @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}}
          }

Theodore Spaide Universität Wien

DOI 10.48660/16040076
Collection
Talk Type Conference
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.