Mishty Ray

activity

20222026

collaborators

5 papers

math.RT2026

Geometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packets

Clifton Cunningham, Alexander Hazeltine, Baiying Liu +4

We give a geometric analogue of Kottwitz-Shelstad transfer for a general class of reductive groups over p-adic fields with cyclic component groups of trivial or prime order. We pro…

math.RT2026

Average divisibility in character tables of $GL_{2} (F_{q})$

Anwesh Ray, Mishty Ray

Let $q$ range over odd prime powers and let $G_{q} = GL_{2} (F_{q})$ . Fix a prime number $ℓ$ . Motivated by work of Peluse and Soundararajan on Miller's conjecture for c…

math.RT2023

Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

Raúl Alonso, Qiao He, Mishty Ray +1

We construct local Arthur packets associated with a dihedral long root $A$ -parameter of a split reductive group of type $G_{2}$ over a nonarchimedian local field of characteristic ze…

math.RT2023

Proof of Vogan's conjecture on Arthur packets for $G L_{n}$ over $p$ -adic fields

Clifton Cunningham, Mishty Ray

In this paper we prove Vogan's conjecture on Arthur packets for general linear groups over $p$ -adic fields, building on earlier work. The proof uses a special case of endoscopic li…

math.RT2022

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Clifton Cunningham, Mishty Ray

In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$ -adic general linear groups that are irreducible as representations of $W_F \times SL…

Geometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packets

Average divisibility in character tables of GL2​(Fq​)

Dihedral long root A-packets of p-adic G2​ via theta correspondence

Proof of Vogan's conjecture on Arthur packets for GLn​ over p-adic fields

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Average divisibility in character tables of $GL_{2} (F_{q})$

Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

Proof of Vogan's conjecture on Arthur packets for $G L_{n}$ over $p$ -adic fields