Geo Kam-Fai Tam

activity

20112026

most citedTransfer relations in essentially tame local Langlands correspondence

4 citations · 7 across the 9 of their papers we have counts for

collaborators

11 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…

math.GT2016

Counting curve types

Tarik Aougab, Juan Souto

Let $S$ be a closed orientable hyperbolic surface, and let $O (K, S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections.…

math.RT2012★ 4 cited

Transfer relations in essentially tame local Langlands correspondence

Geo Kam-Fai Tam

Let $F$ be a non-Archimedean local field and $G$ be the general linear group $GL_{n}$ over $F$ . Bushnell and Henniart described the essentially tame local Langlands correspo…

math.RT2011★ 2 cited

Admissible embedding of L-groups and essentially tame local Langlands correspondence

Geo Kam-Fai Tam

Let $F$ be a non-Archimedean local field and $G$ be the general linear group $GL_{n}$ over $F$ . Based on the previous results of the author, we can describe the Langlands pa…

math.RT2011

On finite symplectic modules arising from supercuspidal representations

Geo Kam-Fai Tam

Let $F$ be a non-Archimedean local field with finite residue field. Let $A_{n}^{e t} (F)$ be the collection of isomorphism classes of essentially tame irreducible supercuspid…

math.RT2011★ 1 cited

On Certain Admissible Embeddings of L-groups

Geo Kam-Fai Tam

Let $F$ be a local field and $E / F$ be a separable extension of degree $n$ . Regard $T = Res_{E / F} G_{m}$ as an elliptic maximal torus of $G = GL_{n}$ . We can constr…