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Publications Influence

Parity Sheaves

- Daniel Juteau, Carl Mautner, G. Williamson
- Mathematics
- 16 June 2009

Given a stratified variety X with strata satisfying a cohomological parity-vanishing condition, we define and show the uniqueness of “parity sheaves”, which are objects in the constructible derived… Expand

78 10- PDF

Generic singularities of nilpotent orbit closures

- Baohua Fu, Daniel Juteau, P. Levy, E. Sommers
- Mathematics
- 20 February 2015

According to a well-known theorem of Brieskorn and Slodowy, the intersection of the nilpotent cone of a simple Lie algebra with a transverse slice to the subregular nilpotent orbit is a simple… Expand

33 4- PDF

Parity sheaves and tilting modules

- Daniel Juteau, Carl Mautner, G. Williamson
- Mathematics
- 7 March 2014

We show that tilting modules and parity sheaves on the affine Grassmannian are related through the geometric Satake correspondence, when the characteristic is bigger than an explicit bound.

26 2- PDF

Modular Springer correspondence and decomposition matrices

- Daniel Juteau
- Mathematics
- 11 December 2007

In 1976, Springer defined a correspondence making a link between the irreducible ordinary (characteristic zero) representations of a Weyl group and the geometry of the associated nilpotent variety.… Expand

26 2

Perverse sheaves and modular representation theory

- Daniel Juteau, Carl Mautner, G. Williamson
- Mathematics
- 21 January 2009

This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relating singularities in… Expand

19 1- PDF

Decomposition numbers for perverse sheaves

- Daniel Juteau
- Mathematics
- 17 March 2008

The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two… Expand

37 1- PDF

Parabolic degeneration of rational Cherednik algebras

- Stephen Griffeth, Armin Gusenbauer, Daniel Juteau, M. Lanini
- Mathematics
- 27 February 2015

We introduce parabolic degenerations of rational Cherednik algebras of complex reflection groups, and use them to give necessary conditions for finite-dimensionality of an irreducible lowest weight… Expand

14 1- PDF

Modular Springer correspondence, decomposition matrices and basic sets

- Daniel Juteau
- Mathematics
- 6 October 2014

The Springer correspondence makes a link between the characters of a Weyl group and the geometry of the nilpotent cone of the corresponding semisimple Lie algebra. In this article, we consider a… Expand

5 1- PDF

Modular generalized Springer correspondence II: classical groups

- P. Achar, A. Henderson, Daniel Juteau, S. Riche
- Mathematics
- 3 April 2014

We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-0 coefficients. We… Expand

9 1- PDF

Modular generalized Springer correspondence I: the general linear group

- P. Achar, A. Henderson, Daniel Juteau, S. Riche
- Mathematics
- 10 July 2013

We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification… Expand

15 1- PDF

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