---
res:
  bibo_abstract:
  - "Let $G$ be a connected reductive algebraic group over an algebraically closed
    field of characteristic zero carrying the trivial valuation. In this article we
    discuss two candidates for what could be the tropicalization of $G$.\r\n  Our
    first suggestion is the extended affine building associated to $G$. This perspective
    makes makes use of Berkovich's embedding of the extended affine building into
    the Berkovich analytic space $G^{\\textrm{an}}$ and expands on work of Mumford
    by associating a toroidal bordification of $G$ to the choice of stacky fan in
    the building. We show that the natural retraction onto the building is compatible
    with the tropicalization map associated to a toroidal bordification.\r\n  Our
    second suggestion is a Weyl chamber of $G$, a special instance of spherical tropicalization,
    where we think of $G$ as a spherical $G\\times G$-variety with respect to left-right-multiplication.
    We show that the spherical tropicalization map may be identified with the toroidal
    tropicalization map associated to a wonderful compactification of $G$. This map
    also has a moduli-theoretic interpretation expanding on the compactifications
    of $G$ as moduli spaces of framed $\\mathbb{G}_m$-equivariant principal bundles
    on chains of projective lines introduced by Martens and Thaddeus.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Desmond
      foaf_name: Coles, Desmond
      foaf_surname: Coles
  - foaf_Person:
      foaf_givenName: Martin
      foaf_name: Ulirsch, Martin
      foaf_surname: Ulirsch
      foaf_workInfoHomepage: http://www.librecat.org/personId=114697
  dct_date: 2025^xs_gYear
  dct_language: eng
  dct_title: Towards the tropicalization of reductive groups@
...