at the

American Institute of Mathematics, San Jose, California

organized by

Mauro Di Nasso, Isaac Goldbring, and Martino Lupini

- Are there specific ways in which nonstandard models can provide further insight into the investigation of the dichotomy between structure and randomness prevalent in many of the arguments in this area, e.g. in the proof of Furstenberg's multiple recurrence theorem?
- Which sumsets configurations can be found in sets of positive density?
- Could such methods be another building block in trying to extend powerful theorems such as Szemeredi's theorem further into the realm of sets with zero density?
- How can iterated nonstandard extensions continue to be used to prove partition regularity of different classes of equations?