## Normalisation of the microlocal vanishing cycles functor - calculations

SO(7) and SO(5) calculations, revisited

## Normalisation of the microlocal vanishing cycles functor - calculationsSO(7) and SO(5) calculations, revisited Event Date: Thursday, February 15, 2018 - 09:00 to 11:00 Event Type: Project: Voganish Seminar |

## Normalisation of the microlocal vanishing cycles functorEvent Date: Thursday, February 1, 2018 - 09:00 to 11:00 Event Type: Project: Voganish Seminar |

## Normalisation of the microlocal vanishing cycles functorEvent Date: Thursday, January 18, 2018 - 09:00 to 11:00 Event Type: Project: Voganish Seminar |

## Harish-Chandra Parameters, Infinitesimal Characters, and Minimal K-Types, part 2Note: Speaker: Majid Shahabi Location: UCalgary, Room MS 337, and https://zoom.us/j/833976172 Abstract: A continuing seminar on admissible representations of GSpin(2n+1) over R. Event Date: Wednesday, September 20, 2017 - 11:00 to 12:00 Event Type: Project: GSpin Automorphic Representations |

## Voganish Seminar: pure Arthur packets for twisted groupsInformal working seminar on pure Arthur packets for twisted groups, and ABV/micropackets for twisted groups. Location: Calgary and Bonn and Lethbridge and https://zoom.us/j/804455137 Event Date: Wednesday, September 20, 2017 - 09:00 to 10:30 Event Type: Project: Voganish |

## Voganish Seminar: Application of Lefschetz fixed-point formula to twisted endoscopy, with examplesSpeakers: Clifton and Andrew Locations: Calgary and Hamilton and online at https://zoom.us/j/331313516 Event Date: Thursday, August 3, 2017 - 10:15 to 12:00 Event Type: Project: Voganish: A geometric approach to Arthur packets for p-adic groups |

## Voganish Seminar: Conjectures for GL(N) and sketch for unipotent representations of SO(2n+1)Speakers: Bin and Clifton Locations: Calgary and Paris and online at https://zoom.us/j/331313516 Event Date: Thursday, June 22, 2017 - 10:15 to 11:45 Event Type: Project: Voganish: A geometric approach to Arthur packets for p-adic groups |

## Harmonic Analysis and the Trace Formula, Mathematisches Forschungsinstitut Oberwolfach (MFO)Title: Arthur packets and Adams-Barbash-Vogan packets for p-adic groups Speakers: Bin Xu and Clifton Cunningham Event Date: Wednesday, May 24, 2017 - 11:30 to 12:30 Event Type: Project: Voganish |

## James Mracek thesis defence, Part 1Title: Applications of algebraic microlocal analysis in symplectic geometry and representation theory PhD Advisors: Lisa Jeffrey – Clifton Cunningham *** This thesis investigates applications of microlocal geometry in both representation theory and symplectic geometry. Accordingly, there are two bodies of work contained herein. The first part of this thesis investigates a conjectural geometrization of local Arthur packets. These packets of representations of a p-adic group were invented by Arthur for the purpose of classifying the automorphic discrete spectrum of special orthogonal and symplectic groups. While their existence has been established, an explicit construction of Arthur packets remains difficult. In the case of real groups, Adams, Barbasch, and Vogan showed how one can use a geometrization of the local Langlands correspondence to construct packets of equivariant D-modules that satisfy similar endoscopic transfer properties as the ones defining Arthur packets. We classify the contents of these “microlocal” packets in the analogue of these varieties for p-adic groups, under certain restrictions, for a plethora of split classical groups. The goal of the second part of this thesis is to find a way to make sense of the Duistermaat-Heckman function for a Hamiltonian action of a compact torus on an infinite dimensional symplectic manifold. We show that the Duistermaat-Heckman theorem can be understood in the language of hyperfunction theory, then apply this generalization to study the Hamiltonian T×S1 action on ΩSU(2). The essential reason for introducing hyperfunction theory is that the local contribution to the Duistermaat-Heckman polynomial near the image of a fixed point is a Green's function for an infinite order differential equation. Since infinite order differential operators do not act on Schwarz distributions, we are forced to use this more general theory. https://seminars.math.toronto.edu/seminars/list/events.py/process?action... Event Date: Tuesday, April 25, 2017 - 11:10 to 12:00 Project: Voganish: A geometric approach to Arthur packets for p-adic groups |

## University of Maryland, Lie Groups and Representation Theory SeminarSpeaker: Clifton Cunningham Title: Arthur packets packets for p-adic groups and vanishing cycles of perverse sheaves Abstract: This talk will explain how to adapt the approach developed by Adams-Barbasch-Vogan to Arthur packets from Real groups to p-adic groups, and will illustrate this adaptation with several examples. We will also sketch a proof showing that Arthur packets are p-adic ABV packets for unipotent representations of p-adic special orthogonal groups. Joint with: Bin Xu, Ahmed Moussaoui, Andrew Fiori, James Mracek https://www-math.umd.edu/research/seminars/lie-groups-and-rep-theory-sem... Event Date: Wednesday, March 29, 2017 - 14:00 to 15:00 Event Type: |

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