PIRSA:16020113

Towards a cluster structure on the trigonometric zastava - Michael Finkelberg

(2016). Towards a cluster structure on the trigonometric zastava - Michael Finkelberg. Perimeter Institute. https://pirsa.org/16020113

Towards a cluster structure on the trigonometric zastava - Michael Finkelberg. Perimeter Institute, Feb. 11, 2016, https://pirsa.org/16020113 

          @misc{ pirsa_PIRSA:16020113,
            doi = {10.48660/16020113},
            url = {https://pirsa.org/16020113},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Towards a cluster structure on the trigonometric zastava - Michael Finkelberg},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {feb},
            note = {PIRSA:16020113 see, \url{https://pirsa.org}}
          }
DOI 10.48660/16020113
Collection
Talk Type Scientific Series
Subject

Abstract

This is a joint work with A.Kuznetsov and L.Rybnikov.

We study a moduli problem on a nodal curve of arithmetic genus 1, whose solution is an open subscheme in the zastava space for projective line. This moduli space is equipped with a natural Poisson structure, and we compute it in a natural coordinate system. We compare this Poisson structure with the trigonometric Poisson structure on the transversal slices in an affine flag variety.

We conjecture that certain generalized minors give rise to a cluster structure on the trigonometric zastava.