Tasuki Kinjo

Last Update 2024/07/03
My research interest lies in the field of algebraic geometry. In particular, I am interested in the cohomological DonaldsonThomas theory (CoDT theory) which studies the geometry of the moduli space of coherent sheaves on CalabiYau 3folds from the cohomological viewpoint. The CoDT theory is considered a mathematical formulation of the theory of the BPS states in mathematical physics.
I have been studying the dimensional reduction for CoDT theory and applied it to the study of the moduli space of Higgs bundles. In future work, I would like to apply the technique of microlocal sheaf theory to CoDT theory. Also, I am interested in the relationship between the CoDT theory and the geometric Langlands correspondence.
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