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On the geometric fundamental lemma of Kottwitz

Zongbin Chen

Abstract

We give a proof of the geometric fundamental lemma of Kottwitz. As explained by Laumon, this implies the fundamental lemma for the unitary groups.

On the geometric fundamental lemma of Kottwitz

Abstract

We give a proof of the geometric fundamental lemma of Kottwitz. As explained by Laumon, this implies the fundamental lemma for the unitary groups.

Paper Structure

This paper contains 2 sections, 4 theorems, 35 equations.

Table of Contents

  1. The main theorem
  2. Proof of the theorem

Key Result

Theorem 1

There exists a canonical isomorphism

Theorems & Definitions (5)

  • Theorem 1: Geometric fundamental lemma
  • Theorem 2: chen decomposition, theorem 5.2
  • Theorem 3
  • Lemma 4
  • proof