PIRSA:23020057

Symplectic groupoid and log-canonical coordinates on the Teichmueller space of closed genus two surfaces.

Shapiro, M. (2023). Symplectic groupoid and log-canonical coordinates on the Teichmueller space of closed genus two surfaces.. Perimeter Institute. https://pirsa.org/23020057

Shapiro, Michael. Symplectic groupoid and log-canonical coordinates on the Teichmueller space of closed genus two surfaces.. Perimeter Institute, Feb. 24, 2023, https://pirsa.org/23020057 

          @misc{ pirsa_PIRSA:23020057,
            doi = {10.48660/23020057},
            url = {https://pirsa.org/23020057},
            author = {Shapiro, Michael},
            keywords = {Mathematical physics},
            language = {en},
            title = {Symplectic groupoid and log-canonical coordinates on the Teichmueller space of closed genus two surfaces.},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {feb},
            note = {PIRSA:23020057 see, \url{https://pirsa.org}}
          }

Michael Shapiro

Michigan State University (MSU)

Talk number
PIRSA:23020057
Collection
Talk Type
Subject
Abstract

The coordinate functions on a Poisson variety are log-canonical if the Poisson bracket of two coordinate functions equals a constant times the product of these functions. We consider the symplectic groupoid of unipotent upper-triangular matrices equipped with canonical Poisson bracket. We described a system of log-canonical coordinates and the corresponding cluster structure. As a bonus, we discovered a system of log-canonical coordinates on Teichmueller space of closed genus 2 surfaces. This is joint work with L. Chekhov.

Zoom link:  https://pitp.zoom.us/j/94716952708?pwd=R2RiQWRpcHFMYlJLMlB0UjlPVGZkQT09