#
The many facets of the Maslov index

April 7 to April 11, 2014
at the

American Institute of Mathematics,
San Jose, California

organized by

Yasha Eliashberg,
Etienne Ghys,
and Andrew Ranicki

## Original Announcement

This workshop will be devoted to the
Maslov index, a collective name for many related invariants counting
the jumps of functions, starting in the 19th century with the
principal value of the complex logarithm. In its modern guise, the
index was introduced by Keller in 1958 and independently rediscovered
by Maslov in 1965 in the context of quantization, and then in the
context of symplectic geometry by Arnold. The
concept has spread widely in many branches of mathematics in
different disguises. A collection of background readings may be found
on http://www.maths.ed.ac.uk/~aar/maslov. The meeting will bring together workers in
different areas which use the Maslov index, even if they do not
recognize it as a single concept.
The main topics for the workshop are the applications of the
Maslov index in:

- Symplectic topology

- Algebra

- Dynamical systems

- Bounded cohomology
- Mathematical physics

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Signatures in algebra, topology, and dynamics

by Étienne Ghys and Andrew Ranicki,

*Six papers on signatures, braids and Seifert surfaces, 1–173, Ensaios Mat., 30, Soc. Brasil. Mat., Rio de Janeiro, 2016 * MR3617347Making cobordisms symplectic

by Yakov Eliashberg, Emmy Murphy

Signatures in algebra, topology and dynamics

by Etienne Ghys and Andrew Ranicki