People

Sho Saito
Position
Project Researcher (from 2015/04/01 )
Research Field
Mathematics
E-Mail
<sho.saito _at_ ipmu.jp> 
URL
http://member.ipmu.jp/sho.saito/
PHOTO

Last Update 2017/10/31 13:51:31

I am studying algebraic K-theory, currently focusing on its applications to the geometry of formal loop spaces. A certain class of infinite dimensional vector bundles, called Tate vector bundles, plays a crucial role in this context. I showed in my Ph.D. thesis that there is a natural connection between Tate vector bundles and a certain kind of principal bundles, called torsos over the K-theory sheaf. To formulate and prove this connection I used the recently developed theory of infinity topoi, which provides a higher categorical framework with a very wide and flexible geometric scope.


Back to Member List.