PIRSA:21100011

Video URL

https://pirsa.org/21100011

On generalized hyperpolygons, Higgs bundles and branes

Schaposnik, L. (2021). On generalized hyperpolygons, Higgs bundles and branes. Perimeter Institute for Theoretical Physics. https://pirsa.org/21100011

Schaposnik, Laura. On generalized hyperpolygons, Higgs bundles and branes. Perimeter Institute for Theoretical Physics, Oct. 01, 2021, https://pirsa.org/21100011 

          @misc{ scivideos_PIRSA:21100011,
            doi = {10.48660/21100011},
            url = {https://pirsa.org/21100011},
            author = {Schaposnik, Laura},
            keywords = {Mathematical physics},
            language = {en},
            title = {On generalized hyperpolygons, Higgs bundles and branes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {oct},
            note = {PIRSA:21100011 see, \url{https://scivideos.org/index.php/pirsa/21100011}}
          }

Laura Schaposnik University of Illinois at Chicago

Talk numberPIRSA:21100011
DOI10.48660/21100011
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk we will introduce generalized hyperpolygons, which arise as Nakajima-type representations of a comet-shaped quiver, following recent work with Steven Rayan. After showing how to identify these representations with pairs of polygons, we shall associate to the data an explicit meromorphic Higgs bundle on a
genus-g Riemann surface, where g is the number of loops in the comet. We shall see that, under certain assumptions on flag types, the moduli space of generalized hyperpolygons admits the structure of a completely integrable Hamiltonian system. Finally, we shall look into the appearance of branes within the moduli space of generalized hyperpolygons as well as of Higgs bundles, and consider mirror symmetry for such branes. Time permitting, we will mention some other recent results in various areas of science. 

Zoom Link: https://pitp.zoom.us/j/91592778202?pwd=WnM2VS9pS2c0QVIxVWFOdGhFMTdEdz09