We use local stability theory to prove a group version of Szemer´edi regularity for stable subsets of finite groups. Toward generalizing this result to the NIP setting, we consider definable set systems of finite VC-dimension in pseudofinite groups. In this case, many tools and results from groups definable in NIP theories can be localized, and we study group-theoretic versions of Szemer´edi regularity which can be shown using these methods. Joint with A. Pillay and C. Terry.
De Martin Bays
De Micha Sharir
De Pierre Simon
De Timothy Gowers
De Caroline Terry
De Saugata Basu
De Jan Hubička
De Gérard Ben Arous
De Giulio Biroli
De Giulio Biroli
De Gérard Ben Arous
De Gérard Ben Arous
