5 papers
On Bruhat-Tits theory over a higher dimensional base
Vikraman Balaji, Yashonidhi Pandey
Let be a perfect field. Assume that the characteristic of satisfies certain tameness assumptions \eqref{tameness}. Let $\mathcal O_{_n} := k\llbracket z_{_1}, \ldots, z_{_n…
On homomorphisms of into compact semisimple groups
Vikraman Balaji, Yashonidhi Pandey
The aim of this paper is to give verifiable criteria for the existence of {\em irreducible} homomorphisms of into compact semisimple groups, for a…
On a "Wonderful" Bruhat-Tits group scheme
V. Balaji, Y. Pandey
In this note we make a universal construction of Bruhat-Tits group scheme on wonderful embeddings of adjoint groups in the absolute and relative settings and of adjoint Kac-Moody g…
Connections on parahoric torsors over curves
Vikraman Balaji, Indranil Biswas, Yashonidhi Pandey
We define parahoric $\cG$--torsors for certain Bruhat--Tits group scheme $\cG$ on a smooth complex projective curve when the weights are real, and also define connections on th…
A degeneration of moduli of Hitchin pairs
V. Balaji, P. Barik, D. S. Nagaraj
We construct a degeneration of the moduli space of Hitchin pairs on smooth projective curves when the curve degenerates to an irreducible curve with a single node. The degeneration…