The Current Developments in Mathematics (CDM) conference is an annual seminar, jointly hosted by Harvard University and the Massachusetts Institute of Technology, and devoted to surveying the most recent developments in mathematics. This title brings you the full contents of the proceedings.

The Current Developments in Mathematics (CDM) conference is an annual seminar, jointly hosted by Harvard University and the Massachusetts Institute of Technology, and devoted to surveying the most recent developments in mathematics. In choosing speakers, the hosts take a broad look at the field of geometry, and select geometers who transcend classical perceptions within their field. All speakers are prominent specialists in the fields of algebraic geometry, mathematical physics, and other areas. International Press is pleased to bring the full contents of these proceedings to you in their "CDM" book series.

Complex geometry and supergeometry
E.D. Hoker &
D.H. Phong
String topology: background and present state
D. Sullivan
The stability of matter and quantum electrodynamics
E.H. Lieb
Holographic algorithm
J.-Y. Cai
The fundamental lemma: what is it and what do we know?
S. DeBacker
The additivity conjecture in quantum information theory
P.W. Shor
Modularity of 2-dimensional Galois representations
M. Kisin.