William D. Hardesty

activity

20142021

most citedConjectures on tilting modules and antispherical

p

-cells

8 citations · 13 across the 8 of their papers we have counts for

collaborators

11 papers

math.RT2021

Nilpotent centralizers and good filtrations

Pramod N. Achar, William Hardesty

Let $G$ be a connected reductive group over an algebraically closed field $k$ . Under mild restrictions on the characteristic of $k$ , we show that any $G$ -module with a good…

math.RT2021★ 1 cited

Silting complexes of coherent sheaves and the Humphreys conjecture

Pramod N. Achar, William Hardesty

Let $G$ be a connected reductive algebraic group over an algebraically closed field $k$ of characteristic $p \geq 0$ , and let $N$ be its nilpotent cone. Under mild hyp…

math.RT2020

Co- $t$ -structures on derived categories of coherent sheaves and the cohomology of tilting modules

Pramod N. Achar, William Hardesty

We construct a co- $t$ -structure on the derived category of coherent sheaves on the nilpotent cone $N$ of a reductive group, as well as on the derived category of coherent…

math.RT2018★ 8 cited

Conjectures on tilting modules and antispherical $p$ -cells

Pramod N. Achar, William Hardesty, Simon Riche

For quantum groups at a root of unity, there is a web of theorems (due to Bezrukavnikov and Ostrik, and relying on work of Lusztig) connecting the following topics: (i) tilting mod…

math.GR2018★ 2 cited

On the centralizer of a balanced nilpotent section

William Hardesty

Let $G$ be a split reductive algebraic group defined over a complete discrete valuation ring $O$ , with residue field $F$ and fraction field $K$ , where th…

math.RT2018

Integral exotic sheaves and the modular Lusztig-Vogan bijection

Pramod N. Achar, William Hardesty, Simon Riche

Let G be a reductive group over an algebraically closed field k of very good characteristic. The Lusztig-Vogan bijection is a bijection between the set of dominant weights for G an…

math.RT2018

Representation theory of disconnected reductive groups

P. Achar, W. Hardesty, S. Riche

We study three fundamental topics in the representation theory of disconnected algebraic groups whose identity component is reductive: (i) the classification of irreducible represe…

math.RT2018

Explicit calculations in an infinitesimal singular block of $S L_{N}$

William Hardesty

Let $G = S L_{n + 1}$ be defined over an algebraically closed field of characteristic $p > 2$ . For each $n \geq 1$ there exists a singular block in the category of $G_{1}$ -modules which…

math.RT2017★ 1 cited

On the Humphreys conjecture on support varieties of tilting modules

Pramod N. Achar, William Hardesty, Simon Riche

Let $G$ be a simply-connected semisimple algebraic group over an algebraically closed field of characteristic $p$ , assumed to be larger than the Coxeter number. The "support variet…

math.RT2015

On support varieties and the Humphreys conjecture in type $A$

William D. Hardesty

Let $G$ be a reductive algebraic group scheme defined over $F_{p}$ and let $G_{1}$ denote the Frobenius kernel of $G$ . To each finite-dimensional $G$ -module $M$ , one can defin…

math.RT2014★ 1 cited

Support varieties of line bundle cohomology groups for SL3 (k)

William D. Hardesty

Let $G = S L_{3} (k)$ where $k$ is a field of characteristic $p > 0$ and let $λ \in X (T)$ be any weight with corresponding line bundle $L (λ)$ on $G / B$ . In this paper we compute…

Nilpotent centralizers and good filtrations

Silting complexes of coherent sheaves and the Humphreys conjecture

Co-t-structures on derived categories of coherent sheaves and the cohomology of tilting modules

Conjectures on tilting modules and antispherical p-cells

On the centralizer of a balanced nilpotent section

Integral exotic sheaves and the modular Lusztig-Vogan bijection

Representation theory of disconnected reductive groups

Explicit calculations in an infinitesimal singular block of SLN​

On the Humphreys conjecture on support varieties of tilting modules

On support varieties and the Humphreys conjecture in type A

Support varieties of line bundle cohomology groups for SL3 (k)

Co- $t$ -structures on derived categories of coherent sheaves and the cohomology of tilting modules

Conjectures on tilting modules and antispherical $p$ -cells

Explicit calculations in an infinitesimal singular block of $S L_{N}$

On support varieties and the Humphreys conjecture in type $A$