University of Calgary

Publications - 2021


Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

Cunningham, Clifton, Moussaoui, Ahmed, Mracek, James, Fiori, Andrew and Xu, Bin

In this article we propose a geometric description of Arthur packets for p-adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups and follows the direction indicated by Vogan in his 1993 paper on the Langlands correspondence. Using vanishing cycles, we introduce and study a functor from the category of equivariant perverse sheaves on the moduli space of certain Langlands parameters to local systems on the regular part of the conormal bundle for this variety. In this article we establish the main properties of this functor and show that it plays the role of microlocalization in the work of Adams, Barbasch and Vogan. We use this to define ABV-packets for pure rational forms of p-adic groups and propose a geometric description of the transfer coefficients that appear in Arthur's main local result in the endoscopic classification of representations. This article includes conjectures modelled on Vogan's work, including the prediction that Arthur packets are ABV-packets for p-adic groups. We gather evidence for these conjectures by verifying them in numerous examples.


Bayesian analysis of restricted penalized empirical likelihood

Bayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing

Empirical estimates for heteroscedastic hierarchical dynamic normal models

Ghoreishi, Seyed Kamran and Wu, Jingjing

kTWAS: integrating kernel-machine with transcriptome-wide association studies improves statistical power and reveals novel genes

Cao, Chen, Kwok, Devin, Edie, Shannon, Li, Qing, Ding, Bowei, Kossinna, Pathum, Campbell, Simone, Wu, Jingjing, Greenberg, Matthew and Long, Quan

Pareto-optimal reinsurance policies with maximal synergy

Jiang, Wenjun, Hong, Hanping and Ren, Jiandong

Restricted empirical likelihood estimation for time series autoregressive models

Bayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing

Tornado wind hazard mapping and equivalent tornado design wind profile for Canada

Hong, Hanping, Huang, Qian, Jiang, Wenjun, Tang, Qian and Jarret, P
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