PIRSA:17020036

A reason for representation theorists to play billiards

APA

Fenyes, A. (2017). A reason for representation theorists to play billiards. Perimeter Institute for Theoretical Physics. https://pirsa.org/17020036

MLA

Fenyes, Aaron. A reason for representation theorists to play billiards. Perimeter Institute for Theoretical Physics, Feb. 06, 2017, https://pirsa.org/17020036

BibTex

          @misc{ scivideos_PIRSA:17020036,
            doi = {10.48660/17020036},
            url = {https://pirsa.org/17020036},
            author = {Fenyes, Aaron},
            keywords = {Mathematical physics},
            language = {en},
            title = {A reason for representation theorists to play billiards},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020036 see, \url{https://scivideos.org/index.php/pirsa/17020036}}
          }
          

Aaron Fenyes University of Toronto

Talk numberPIRSA:17020036
Source RepositoryPIRSA

Abstract

Representations of the fundamental groups of surfaces appear so often in geometry that it's tempting to see them primarily as geometric structures. In recent years, however, researchers have uncovered beautiful new features of these representations by thinking of them instead as dynamical systems. As an invitation to the dynamical point of view, I'll describe how geometric tools from the study of billiards can be used to build invariants of surface group representations.