The Scottish Café revisited
The Scottish Café (Polish: Kawiarnia Szkocka) was the café in Lwów (now Lviv) where, in the 1930s and 1940s, mathematicians from the Lwów School collaboratively discussedresearch problems, particularly in functional analysis and topology.
Stanislaw Ulam recounts that the tables of the café had marble tops, so they could write in pencil, directly on the table, during their discussions. To keep the results from being lost, and after becoming annoyed with their writing directly on the table tops, Stefan Banach‘s wife provided the mathematicians with a large notebook, which was used for writing the problems and answers and eventually became known as the Scottish Book. The book—a collection of solved, unsolved, and even probably unsolvable problems—could be borrowed by any of the guests of the café. Solving any of the problems was rewarded with prizes, with the most difficult and challenging problems having expensive prizes (during the Great Depression and on the eve of World War II), such as a bottle of fine brandy.
For problem 153, which was later recognized as being closely related to Stefan Banach’s “basis problem“, Stanislaw Mazur offered the prize of a live goose. This problem was solved only in 1972 by Per Enflo, who was presented with the live goose in a ceremony that was broadcast throughout Poland.
I have been thinking about “the scottish café” for a while and i was wondering whether it is possible to have “something” like this in a virtual, decentralized fashion. Last night I accidentally participated in a “google hangout” and I thought that this might be a good platform for this.
At this point I do not have any idea what a good setup and rules etc. is. But you are most welcome to join and provide your ideas and feedback.
A proposed initial setup could be either a classic seminar talk + discussion or free discussion about a pre-specified topic. The first one might be easier in terms of getting things started whereas the second one is more in the original spirit of the café. While I personally would prefer the second one in the mid-term it might be better to get things started with the first one.