9:15-10:15 Lecture: Sheaf Theory: The Mathematics of Data Fusion
10:15-11:15 Interactive: Topological Features
— Topological and nontopological features of data problems
— Overview of the tutorial datasets
— Participant-provided datasets
11:15-12:15 Lecture: What Is Topology?
1:30-2:30 Lecture: What Is a Sheaf?
2:30-3:30 Interactive: Building Complexes and Sheaves
3:30-4:30 Lecture: Data Structures as Sheaves
Wednesday, August 26
9:15-10:15 Lecture: Categorification and Chain Complexes
10:15-11:15 Interactive: Constructing and Categorifying
11:15-12:15 Lecture: Computing Topological features
1:30-2:30 Lecture: Sheaf Cohomology and Its Interpretation
2:30-3:30 Interactive session: Computing Homology and Cohomology
3:30-4:30 Lecture: How Do We Deal with Noisy Data?
Participants will be provided the opportunity to learn the mechanics of applying topology and sheaf theory to data by completing exercises at the workshop. These exercises can consist of tutorial-provided datasets as well as those provided by the participants. In order to maximize time usage, it is suggested that these software packages should be installed by those attending in-person: