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Article Contents

ABSTRACT

1.INTRODUCTION

2.MODELS OF THE GALAXY-HALO CONNECTION
2.1.Preliminaries: What is a halo?
2.2.Empirical models of the galaxy-halo connection
2.3.Physical models of galaxy formation
2.4.Complementarity between approaches

3.MEASUREMENTS THAT INFORM THE GALAXY-HALO CONNECTION
3.1.Galaxy abundance
3.2.Two-point galaxy clustering
3.3.Group and cluster catalogs
3.4.Weak gravitational lensing
3.5.Additional observables

4.BEYOND THE SIMPLEST MODELS OF THE GALAXY-HALO CONNECTION
4.1.What halo property is best matched to galaxies?
4.2.What galaxy property is best matched to halos?
4.3. Scatter
4.4.Assembly bias
4.5. Centrals vs. Satellites
4.6.Occupation properties of satellite galaxies
4.7. Joint modeling of mass and secondary properties

5.CURRENT CONSTRAINTS ON THE GALAXY-HALO CONNECTION AS EXPRESSED BY THE SHMR
5.1.The mean stellar-to-halo mass relation for central galaxies
5.2. Scatter for central galaxies
5.3.Evolution
5.4.How does assembly bias manifest observationally?
5.5.Systematic uncertainties

6.CURRENT CONSTRAINTS ON SECONDARY PROPERTIES IN THE GALAXY-HALO CONNECTION
6.1.Stellar-to-Halo Mass Relations for star-forming and passive central galaxies
6.2.How does assembly bias manifest observationally for secondary properties?
6.3.Why do galaxy properties depend on environment?
6.4.Galaxy Sizes

7.APPLICATIONS OF THE GALAXY-HALO CONNECTION
7.1.Understanding the Physics of Galaxy Formation
7.2.Inferring Cosmological Parameters
7.3.Probing the Properties and Distribution of Dark Matter

8.STATUS AND OUTLOOK

REFERENCES