KIDA, Yoshikata
>HOMEPAGE  
Title  Professor  
Field  Discrete Groups, Ergodic Theory  
Reserch Interests 


Current Research 
Whether a mathematical object is classifiable or not can be formulated as a question about a certain equivalence relation. Such an equivalence relation often admits a natural measurable structure, and its complexity is regarded as the complexity of the classification problem in question. Besides, given an equivalence relation, we can define convolutions for functions on the equivalence relation and then obtain the function algebra, which is a principal example of operator algebras. In recent decades, group actions on measure spaces and their orbit equivalence relations are well studied, and their interesting aspects have been revealed along with the development of the theories of discrete groups and operator algebras. My research mostly concerns orbit equivalence relations and is especially focused on their relationship with functionalanalytic or geometric properties of groups. The background and several results are found in my survey article `Ergodic group theory' cited below. 

Selected Publications 
 
Memberships  The Mathematical Society of Japan  
Awards 
The Inoue Research Award for Young Scientists (2008) The Geometry Prize, the Mathematical Society of Japan (2009) The Young Scientists' Prize of the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology (2011) The Operator Algebra Prize (Japan) (2016) The Spring Prize, the Mathematical Society of Japan (2018) The JSPS Prize, the Japan Society for the Promotion of Science (2019) 