Geo Kam-Fai Tam

activity

20162026

collaborators

7 papers

math.NT2026

Distinguishing Gauss sums

Moshe Adrian, Jack Diamond, Kenneth Kramer +1

Let $\F_q$ be the field of order $q = p^{f}$ for prime $p$ . If $G (χ)$ is the Gauss sum attached to a multiplicative character $χ$ on $\F_q^\times$, then $G (χ) = G (χ^{p})$ . We investiga…

math.RT2026

Endoscopic liftings and parameters of epipelagic representations for classical groups

Geo Kam-Fai Tam

Let $G$ be a $p$ -adic classical group (orthogonal, symplectic, or unitary) and $π$ be an epipelagic representation of $G$ in the sense of Reeder-Yu. Using Mœglin's theory of extend…

math.RT2026

A conjectural construction of Arthur packets in Fargues-Scholze's categorical local Langlands correspondence

Geo Kam-Fai Tam

We present a conjectural construction of Arthur packets within Fargues-Scholze's framework for the categorical local Langlands correspondence (CLLC). This construction consists of…

math.RT2023

Depth Zero Supercuspidal Representations of Classical Groups into L-packets: the Typically Almost Symmetric Case

Geo Kam-Fai Tam

We classify what we call ``typically almost symmetric'' depth zero supercuspidal representations of classical groups into L-packets. Our main results resolve an ambiguity in the pa…

math.RT2023

Endoscopic liftings of epipelagic representations for classical groups

Geo Kam-Fai Tam

Let $G$ be a p-adic classical group (orthogonal, symplectic, unitary) and $π$ be an epipelagic representation of $G$ defined by Reeder-Yu. Using Mœglin's theory of extended cuspida…

math.NT2020

Base change for ramified unitary groups: the strongly ramified case

Corinne Blondel, Geo Kam-Fai Tam

We describe a special case of base change of certain supercuspidal representations from a ramified unitary group to a general linear group, both defined over a p-adic field of odd…