## Microlocal vanishing cycles of the Kashiwara-Saito singularity

Nicole will update us on her progress toward calculating the microlocal vanishing cycles of the Kashiwara-Saito singularity.

## Microlocal vanishing cycles of the Kashiwara-Saito singularityNicole will update us on her progress toward calculating the microlocal vanishing cycles of the Kashiwara-Saito singularity. Event Date: Wednesday, January 23, 2019 - 09:00 to 10:00 Event Type: Project: Voganish Project |

## Verification of the Kazhdan-Lusztig conjecture for the subregular unipotent infinitesimal parameter for G(2)Clifton will make a small correction to the geometric multiplicity matrix for the admissible representations of G(2) with “subregular unipotent” infinitesimal parameter. Event Date: Wednesday, January 16, 2019 - 09:00 to 10:30 Event Type: Project: Voganish Project |

## Toward a geometrisation of functions on the integral points of p-adic varietiesPresentation at the MATRIX conference on Geometric and Categorical Representation Theory Title: Toward a geometrisation of functions on the integral points of p-adic varieties Abstract: In this talk we will see how to define a topology on the category of formal schemes over the p-adic integers whose fundamental group coincides with the {\'e}tale fundamental group of Fp-schemes. Speaker: Geoff Vooys Event Date: Friday, December 21, 2018 - 10:30 to 11:30 Event Type: Project: Geometrization Project |

## The geometry of local Arthur packetsPresentation at the MATRIX conference on Geometric and Categorical Representation Theory Title: The geometry of local Arthur packets Speaker: Clifton Cunningham Abstract: This talk explains how an Arthur parameter determines a category of perverse sheaves and how the microlocal perspective on this category reveals an Arthur packet. Event Date: Wednesday, December 19, 2018 - 12:00 to 13:00 Event Type: Project: Voganish Project |

## On the Langlands Program: Endoscopy and BeyondThere is a conference in Singapore IMS on the Langlands program. Here is a link of that conference Event Date: Monday, December 17, 2018 - 12:00 to Friday, January 18, 2019 - 12:00 Event Type: Project: Voganish Project |

## Construction of p-adic ABV L-packetsHiraku Atobe gave a talk on the voganish projects in Singapore IMS. Here is the link of the notes of his talk The following are videos of his talk Event Date: Monday, December 17, 2018 - 11:19 Event Type: Project: Voganish Project |

## Geometric and Categorical Representation TheoryConference on Geometric and Categorical Representation Theory at MATRIX, Creswick Campus, University of Melbourne and Monash University Program Description: Geometric and categorical representation theory are advancing rapidly, with a growing number of connections to the wider mathematical universe. The goal of this program is to bring international experts in these areas together to facilitate exchange and development of ideas. During the first week, there will be a lecture series by Prof. Luca Migliorini on the arithmetic theory of Higgs bundles. Organisers: Clifton Cunningham (University of Calgary), Masoud Kamgarpour (University of Queensland), Anthony Licata (Australian National University), Peter McNamara (University of Queensland), Sarah Scherotzke (Bonn University), Oded Yacobi (University of Sydney) https://www.matrix-inst.org.au/events/geometric-and-categorical-represen... Event Date: Monday, December 10, 2018 - 09:00 to Friday, December 21, 2018 - 12:00 Event Type: |

## Calculation of the multiplicity matrix associated to the infinitesimal parameter of the cubic unipotent Arthur parameterSpeaker: Clifton Cunningham We have seen how the subregular unipotent orbit in the L-group for split G(2) determines a unipotent Arthur parameter and thus an unramified infinitesimal parameter $\lambda : W_F \to \,^LG(2)$. In this talk I will calculate the multiplicity matrix that describes how these 8 admissible representations are related to 8 standard modules with infinitesimal parameter $\lambda$, assuming the Kazhdan-Lusztig conjecture as in appears in Section 10.2.3 of the preprint above. Event Date: Thursday, November 29, 2018 - 10:30 to 11:30 Project: voganish Notes: |

## Cubic unipotent Arthur parameter for G2Speaker: Clifton Cunningham and Qing Zhang, We consider the Voganish project for the cubic unipotent Arthur parameter for the split exceptional group $G_2$ over a p-adic field, which was first considered by Gan-Gurevich-Jiang. After introducing this parameter $\lambda$, we consider the Vogan variety and its orbits under the action of the natural group $H_\lambda$. We then determine a smooth cover of each orbits which will help to compute the $H_\lambda$-equivariant local systems on each orbit. We also determine the principle series representation of $G_2(F)$ associated with the unramified Langlands parameter. Location: MS 337, University of Calgary Event Date: Thursday, November 22, 2018 - 10:00 to 11:30 Event Type: Project: Voganish project |

## Support of closed orbit relative matrix coefficientsSpeaker: Jerrod Smith In this talk, we discuss cuspidality of representations of p-adic groups in a relative setting. Let G be a connected reductive group over a p-adic field F and $\theta$ is an involution on G. Let H be the subgroup fixed by $\theta$. One then can define H-relative supercuspidal representations via matrix coefficients. We will discuss the behavior of supercuspidality under induction. Event Date: Thursday, October 11, 2018 - 10:00 to 11:30 Event Type: Notes: |

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