Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Five lectures on optimal transportation: Geometry, regularity and
  applications   In this series of lectures we introduce the Monge-Kantorovich problem of
optimally transporting one distribution of mass onto another, where optimality
is measured against a cost function c(x,y). Connections to geometry,
inequalities, and partial differential equations will be discussed, focusing in
particular on recent developments in the regularity theory for Monge-Ampere
type equations. An application to microeconomics will also be described, which
amounts to finding the equilibrium price distribution for a monopolist
marketing a multidimensional line of products to a population of anonymous
agents whose preferences are known only statistically.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph