Project/Area Number 
19F19802

Research Category 
GrantinAid for JSPS Fellows

Allocation Type  Singleyear Grants 
Section  外国 
Review Section 
Basic Section 11010:Algebrarelated

Research Institution  The University of Tokyo 
Host Researcher 
MILANOV Todor 東京大学, カブリ数物連携宇宙研究機構, 准教授 (80596841)

Foreign Research Fellow 
ROQUEFEUIL ALEXIS 東京大学, カブリ数物連携宇宙研究機構, 外国人特別研究員

Project Period (FY) 
20191108 – 20220331

Project Status 
Granted (Fiscal Year 2020)

Budget Amount *help 
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 2021: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2020: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2019: ¥700,000 (Direct Cost: ¥700,000)

Outline of Research at the Start 
GromovWitten theory was discovered by physicists via the so called topological string theory. It has many interesting applications to both geometry and differential equations. The Ktheoretic version of GromovWitten theory is much more involved, but nevertheless, there was a recent progress by Givental, which in principle clarifies the relation between Ktheoretic and cohomological GromovWitten theory. We are planning to investigate the applications of Ktheoretic GromovWitten invariants to differential equations, such as, confluence of difference equations and integrable hierarchies.
