Everyone welcome. Refreshments will be served in the Math Lounge before the exam.

**Monday, May 14, 2012, 2:10 p.m., in BA 6183, 40 St. George Street**

**PhD Candidate**: Kam-Fai Tam

**PhD Advisor**: James Arthur

**Thesis Title**: Transfer relations in essentially tame local Langlands correspondence

(http://www.math.toronto.edu/graduate/Tam-thesis.pdf)

**Thesis Abstract:**

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 correspondence of $G(F)$ using

rectifiers, which are certain characters defined on tamely ramified

elliptic maximal tori of $G(F)$. They obtained such result by studying

the automorphic induction character formula. We relate this formula

with the spectral transfer character formula, based on the theory of

twisted endoscopy of Kottwitz, Langlands and Shelstad. The two

main results in this article are

(i) to show that the automorphic induction character formula is equal

to the spectral transfer character formula under the same

Whittaker normalization and

(ii) to express the essentially tame local Langlands correspondence

using the admissible embeddings constructed by Langlands-Shelstad

$\chi$-data, and to express the rectifiers of Bushnell-Henniart

by certain endoscopic transfer factors.

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