mini course on pseudodifferential operators on non-commutative L^p spaces

 

Date : Novermber 25th (Mon.)・26th(Tue.) 14:00~16:00

Place:4C, AIMR Main Bldg., Katahira campus, Tohoku University


SpeakerDr.Gihyun Lee

Title : Pseudodifferential calculus on noncommutative tori

 

Abstract

A. Connes introduced the pseudodifferential calculus on noncommutative tori in early 1980s, which has been used in dozens of recent works studying the differential geometry of noncommutative tori. The primary goal of this lecture series is to give detailed accounts on Connes’ pseudodifferential calculus and its basic properties. This includes the notion of oscillating integrals, smoothing operators, the composition rule, Sobolev mapping properties, elliptic operators, etc.

 

Next, I will introduce the notion of parametric pseudodifferential operators on noncommutative tori and explain that the resolvents of an elliptic pseudodifferential operator on noncommutative tori fit into this framework.

 

Based on joint works with H. Ha and R. Ponge.

 

 

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 Advanced Institute for Materials Research Tohoku University Mathematical Group
 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577 Japan 【Access/Contact