[AN] Teun van Nuland: Multiple operator integrals and the abstract pseudodifferential calculus of Connes and Moscovici

26 March 2024 16:00 till 17:00 - Location: Drebbelweg Instruction Room 4 | Add to my calendar

Multiple operator integrals (MOIs) appear in various areas of noncommutative geometry, as well as more general situations where functional calculus clashes with noncommuting operators. Uncovering MOIs where they appear ‘undercover’ enables a unified view, and often leads to new connections and generalizations. However, sometimes the integral expressions that you want to uncover as MOIs are unbounded, which does not match the traditional MOI formalism as developed by Peller in 2006. Our proposed solution is to merge multiple operator integration with the abstract pseudodifferential calculus of Connes and Moscovici. Based on ongoing joint work with Eva-Maria Hekkelman and Edward McDonald.