Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups acting on manifolds: around the Zimmer program   This paper is a survey on the {\em Zimmer program}. In it's broadest form,
this program seeks an understanding of actions of large groups on compact
manifolds. The goals of this survey are $(1)$ to put in context the original
questions and conjectures of Zimmer and Gromov that motivated the program,
$(2)$ to indicate the current state of the art on as many of these conjectures
and questions as possible and $(3)$ to indicate a wide variety of open problems
and directions of research.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ