Generalized persistence and applications
September 15 to September 19, 2014
American Institute of Mathematics,
Palo Alto, California
Anthony Bak and Dmitriy Morozov
This workshop will be devoted to
generalizations of persistent homology with a particular emphasis on
finding calculable algebraic invariants useful for applications.
Applications of persistence -- for example, signal processing, drug
design, tumor identification, shape classification, and geometric
inference -- rely on the classification of persistence via barcodes,
geometrization of the space of barcodes via metrics or as an algebraic
variety, and on efficient algorithms. Accordingly, this workshop will
bring together theoriticians, computer scientist, and the users of
The main topics for the workshop are:
- Generalizations of persistence: multidimensional persistence, well
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.