A Resource Bank for Writing Intensive Mathematics CoursesDeDieu, Lauren, Smith, Jerrod, Golubeva, Kimberly and Bagshaw, Christian | |
Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examplesCunningham, Clifton, Moussaoui, Ahmed, Mracek, James, Fiori, Andrew and Xu, BinIn 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. | |
A two-component nonparametric mixture model with stochastic dominanceWu, Jingjing and Abedin, Tasnima | |
Bayesian analysis of restricted penalized empirical likelihoodBayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing | |
Bi-level variable selection in semiparametric transformation models with right-censored dataZhong, Wenyan, Lu, Xuewen and Wu, Jingjing | |
Development of a simple equivalent tornado wind profile for structural design and evaluationHuang, Qian, Jiang, Wenjun and Hong, Hanping | |
Empirical estimates for heteroscedastic hierarchical dynamic normal modelsGhoreishi, Seyed Kamran and Wu, Jingjing | |
JUST: MATLAB and Python Software for Change Detection and Time Series AnalysisGhaderpour, Ebrahim | |
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Lattice-based hedging schemes under GARCH modelsAugustyniak, Maciej, Badescu, Alexandru and Guo, Zhiyu | |
Linear periods and distinguished local parametersSmith, Jerrod | |
Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate equations.Rios, Cristian, Korobenko, L, Sawyer, E and Shen, R | |
Minimum profile Hellinger distance estimation for semiparametric simple linear regression modelLi, Jiang and Wu, Jingjing | |
Numerical approximations of coupled forward–backward SPDEsQiu, Jinniao and Md Hasib Uddin Molla | |
On contact numbers of locally separable unit sphere packingsBezdek, Karoly | |
On the computation of hedging strategies in affine GARCH modelsAugustyniak, Maciej and Badescu, Alexandru | |
Optimal insurance under rank dependent utility: prudence and incentive compatibilityJiang, Wenjun | |
Pareto-optimal reinsurance policies with maximal synergyJiang, Wenjun, Hong, Hanping and Ren, Jiandong | |
Power analysis of transcriptome-wide association study: implications for practical protocol choiceCao, Chen, Ding, Bowei, Li, Qing, Kwok, Devin, Wu, Jingjing and Long, Quan | |
Restricted empirical likelihood estimation for time series autoregressive modelsBayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing | |
Semiparametric regression with the U-shaped baseline hazard function in the additive hazards model under general censoring mechanismsFani, Shabnam, Shen, Hua, Lu, Xuewen and Wu, Jingjing | |
Simultaneous Estimation and Variable Selection with Broken Adaptive Ridge Regression for Interval-Censored Competing Risks data under semiparametric transformation modelsMahmoudi, Fatemeh and Xuewen Lu | |
Statistical assessment of spatial tornado occurrence for Canada: modelling and estimationHuang, Qian, Jiang, Wenjun and Hong, Hanping | |
The effect of risk constraints on the optimal insurance policyJiang, Wenjun and Ren, Jiandong | |
The Poset of Copies for Automorphism Groups of Countable Relational StructuresLaflamme, Claude, Pouzet, Maurice, Woodrow, Robert and Sauer, Norbert | |
The support of closed orbit relative matrix coefficientsSmith, Jerrod | |
Tornado wind hazard mapping and equivalent tornado design wind profile for CanadaHong, Hanping, Huang, Qian, Jiang, Wenjun, Tang, Qian and Jarret, P | |
Volumetric bounds for intersections of congruent balls in Euclidean spacesBezdek, Karoly |