Y. Pandey

activity

20092026

collaborators

13 papers

math.AG2026

Bruhat-Tits group schemes over higher dimensional base-II

Vikraman Balaji, Yashonidhi Pandey

We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives a new construction of higher BT-group schemes more general tha…

math.AG2025

Conformal blocks, parahoric torsors and Borel-Weil-Bott

V. Balaji, Y. Pandey

Let $X$ be a smooth projective curve over an algebraically closed field $k$ . Let $G$ be a parahoric group scheme on $X$ as in \cite{pr}. Via the principle of Hecke corres…

math.AG2022

On Bruhat-Tits theory over a higher dimensional base

Vikraman Balaji, Yashonidhi Pandey

Let $k$ be a perfect field. Assume that the characteristic of $k$ satisfies certain tameness assumptions \eqref{tameness}. Let $\mathcal O_{_n} := k\llbracket z_{_1}, \ldots, z_{_n…

math.AG2021

On homomorphisms of $π_{1} (P^{1} - R)$ 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 $π_{1} (P^{1} - R)$ into compact semisimple groups, for a…

math.RT2021

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…

math.AG2019

Brauer group of punctual Quot scheme of points on a smooth projective surface

A. J. Parameswaran, Yashonidhi Pandey

Let $X$ be a smooth projective surface over an algebraically closed field $k$ such that $c ha r (k) \neq = 2$ . Let $X^{[d]}$ denote the punctual Hilbert scheme of zero dimensional quoti…

math.AG2019

Etale Fundamental group of moduli of torsors under Bruhat-Tits group scheme over a curve

A. J. Parameswaran, Yashonidhi Pandey

Let $X$ be a smooth projective curve over an algebraically closed field $k$ . Let $G$ be a Bruhat-Tits group scheme on $X$ which is generically semi-simple and trivial. We…

math.AG2017

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 $X$ when the weights are real, and also define connections on th…

math.AG2013

Brauer group of moduli of torsors under Bruhat-Tits group scheme $G$ over a curve

Yashonidhi Pandey

Let $X$ be a smooth projective curve over the complex numbers. We compute the Brauer group of the moduli stack of Bruhat-Tits group scheme $G$ -torsors on $X$ . When $g(X)…

math.AG2013

A properness result for degenerate Quadratic and Symplectic Bundles on a smooth projective curve

Yashonidhi Pandey

Let $(V, q)$ be a vector bundle on a smooth projective curve $X$ together with a quadratic form $q: \mathrm{Sym}^2(V) \ra \mathcal{O}_X$ (respectively symplectic form $q: Λ^2V \ra \…

math.AG2012

Criteria for existence of stable parahoric $\SO_n$, $\Sp_n$ and $\Spin$ bundles on $\PP^1$

Yashonidhi Pandey

Let $p: Y \ra X$ be a Galois cover of smooth projective curves over $\CC$ with Galois group $Γ$ . This paper is devoted to the study of principal orthogonal and symplectic bundles $…

math.AG2009

Prym Subvarieties of Jacobians via Schur correspondances between curves

Yashonidhi Pandey

Let $π : Z \to X$ be Galois cover of smooth projective curves with Galois group $W$ a Weyl group of a simple Lie group $G$ . For a dominant weight $λ$ , we consider the intermediate c…

math.AG2009

$N -$ Bundles for $N$ an extension of a finite group by an abelian group

Yashonidhi Pandey

Let $W$ be a finite group and $T$ be an abelian group. Consider an extension $0 \ra T \ra N \ra W \ra 0$. For a smooth projective curve $X$ , we give a precise description of the fi…

Bruhat-Tits group schemes over higher dimensional base-II

Conformal blocks, parahoric torsors and Borel-Weil-Bott

On Bruhat-Tits theory over a higher dimensional base

On homomorphisms of π1​(P1−R) into compact semisimple groups

On a "Wonderful" Bruhat-Tits group scheme

Brauer group of punctual Quot scheme of points on a smooth projective surface

Etale Fundamental group of moduli of torsors under Bruhat-Tits group scheme over a curve

Connections on parahoric torsors over curves

Brauer group of moduli of torsors under Bruhat-Tits group scheme G over a curve

A properness result for degenerate Quadratic and Symplectic Bundles on a smooth projective curve

Criteria for existence of stable parahoric $\SO_n$, $\Sp_n$ and $\Spin$ bundles on $\PP^1$

Prym Subvarieties of Jacobians via Schur correspondances between curves

N−Bundles for N an extension of a finite group by an abelian group

On homomorphisms of $π_{1} (P^{1} - R)$ into compact semisimple groups

Brauer group of moduli of torsors under Bruhat-Tits group scheme $G$ over a curve

$N -$ Bundles for $N$ an extension of a finite group by an abelian group