Seminar: Kensuke Arakawa - An operadic version of Mazel-Gee's localization theorem (Mar 17, 2026)

Speaker: Kensuke Arakawa (Kyoto University)
Title: An operadic version of Mazel-Gee's localization theorem
Time: March 17, 2026 at 11:00 Istanbul local time (17:00 Kyoto local time)
Place: Online
Meeting ID: 935 6390 4955
Passcode: 699568
Abstract: A common phenomenon in higher category theory is that nontrivial infinity categories often arise as localizations of simpler (often ordinary) categories. A natural question, therefore, is: how can we recognize when an infinity categoy is obtained in this way? Mazel-Gee's localization theorem provides a useful criterion for this. In recent years, similar questions have begun to appear in the operadic setting, motivated by internal developements in higher operads and by examples from mathematical physics (such as factorization algebra and algebraic quantum field theory). This raises a basic problem: how can we detect when an infinity operad arises as a localization? In this talk, I will present an operadic analog of Mazel-Gee's localization theorem, giving a practical criterion for recognizing localizations of infinity operads. After explaining the ideas behind the proof, I will discuss several example applications to cyclic operads and factorization algebras.