Doman TAKATA

Name
Doman TAKATA
Title
phd student
Email
d.takata (please add @math.kyoto-u.ac.jp)
URL
https://www.math.kyoto-u.ac.jp/en/people/profile/d.takata
Research Area
index theory, geometry and analysis of loop groups, noncommutative geomoetry
Profile

My dream is a construction of an infinite dimensional version of Atiyah-Singer index theorem which is one of the greatest theorems in geometry and topology. Recently, I have been studying geometry and analysis of loop groups or related spaces, from the view point of noncommutative geometry, using representation theory of loop groups.