## UC Berkeley / Lawrence Berkeley Laboratory

#### Wrinkles on Everest: Persistence and Stability in an Omniscalar World

**Dmitriy Morozov, Lawrence Berkeley National Laboratory**

##### September 11th, 2013 at 3:30PM–4:30PM in 939 Evans Hall [Map]

In the last decade, persistent homology emerged as a particularly
active topic within the young field of computational topology.
Homology is a topological invariant that counts the number of cycles
in the space: components, loops, voids, and their higher-dimensional
analogs. Persistence keeps track of the evolution of such cycles and
quantifies their longevity. By encoding physical phenomena as
real-valued functions, one can use persistence to identify their
significant features.

This talk is an introduction to the subject, discussing the settings
in which persistence is effective as well as the methods it employs.
It will touch on the topics of homology inference, dimensionality
reduction, and general models of noise. The last part of the talk will
describe our recent efforts to parallelize computation of merge trees,
a descriptor closely related to 0-dimensional persistence.