The topology group at the University of Georgia is organizing a conference on topological persistence and related topics in applied topology in Athens, Georgia, from June 1-5, 2020. This will be an installment in a long-running (since 1961, see here for webpages from previous years) annual topology conference series, which is maybe best known for the large general conferences that are held in years congruent to 1 mod 8; however in years such as this one the conference is smaller and focuses on a more specialized theme, typically with about 16 one-hour talks by a mix of junior and senior researchers and plenty of time built into the schedule for informal interaction.
The webpage for the conference is now up, at https://research.franklin.uga.edu/topology/2020GTC. The conference will be supported by NSF. In particular there is funding available for junior participants.