Speaker
Dr
Thamarai Valli Venkatachalam
Description
Fano 3-folds with terminal singularities are fundamental building blocks in birational geometry, but their classification remains an important open problem. In this talk, I will discuss my work on the classification of terminal Fano 3-fold hypersurfaces in rank 2 toric varieties, viewed as GIT quotients. By exploiting this toric structure and the Minimal Model Program, I provide a complete list of families in my setup and relate them to existing results on terminal Fano 3-folds.