Establishing (and oftentimes, even formulating) structural results for Boolean functions with respect to some problem of interest is prevalent throughout many branches of mathematics. A prominent example is the “structure versus randomness” paradigm. Notable problems that were recently solved, using such ideas, include the quantitative improvement of the sunflower lemma, advances on various Turán problems, the resolutions of the sensitivity conjecture, the cap set problem, and the Kahn-Kalai Conjecture. The goal of this workshop is to bring together researchers from different perspectives, introduce the different techniques in these problems and push them further.

Invited Participants

Yuval Filmus (Technion - Israel Institute of Technology), Sumegha Garg (Stanford University), Uma Girish (Princeton University), Anna Gál (University of Texas at Austin), Mika Göös (EPFL), Lianna Hambardzumyan (Hebrew University), Pooya Hatami (Ohio State University), Nathaniel Hopkins (UC San Diego), Kaave Hosseini (University of Rochester), Oliver Janzer (University of Cambridge), Zander Kelley (University of Illinois Urbana-Champaign), Guy Kindler (Hebrew University of Jerusalem), Chin Ho Lee (Harvard University), Siqi Liu (UC Berkeley), Nikhil S. Mande (University of Liverpool), Jinyoung Park (NYU), Huy Tuan Pham (Stanford University), Toniann Pitassi (Columbia University), Cosmin Pohoata (IAS), Anup Rao (University of Washington), Tselil Schramm (Stanford University), Adi Shraibman (The Academic College of Tel Aviv-Yafo), Caroline Terry (University of Maryland), Jonathan Tidor (Stanford University), Leo Versteegen (University of Cambridge), Julia Wolf (University of Cambridge), Liana Yepremyan (Emory University), Dmitrii Zakharov (MIT), Yufei Zhao (Massachusetts Institute of Technology)