Contents:

• The Sato-Tate conjecture (L. Clozel)
• Gauge theory, ramification, and the geometric Langlands program (S. Gukov & E. Witten)
• Complex singularities of the Burgers system and renormalization group method (D. Li & Y.G. Sinai)
• A biased view of symplectic cohomology (P. Seidel)
• Global behaviour of nonlinear dispersive and wave equations (T. Tao)

Contents:

• 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)

Description:

Life insurance and life annuities are about cash flows, the time value of money, and the randomness of policyholders' death time. This book intends to present the actuarial model as a combination of these three factors. It also describes how to set premiums and reserves for those insurance products.

The subjects are closely related to the Society of Actuaries (SOA) course MLC requirements. Some examples and exercise problems come from past SOA Course 3, Course M, and Course MLC examinations.

Description:

The works included in this new volume, edited by Jeffrey Cheeger and Karsten Grove, treat important recent developments in metric geometry and comparison geometry. Both these areas are vital and expanding components of modern geometry.

Aims and Scope:

Communications in Number Theory and Physics is an international journal focused on applications of Number Theory in the broadest sense to Theoretical Physics. The journal offers a forum for communication among researchers in Number Theory and Theoretical Physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.