Seminar Announcement
Date: Friday, 29 August 2025
Time: 3:30 PM
Venue: Seminar Hall, CMI
Classification of Smooth Complex Algebraic Surfaces via Some Homotopy Theoretic Properties
Buddhadev Hajra
Chennai Mathematical Institute.
29-08-25

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Abstract

In algebraic topology, an Eilenberg-MacLane space is a path-connected topological space with at most one non-trivial homotopy group. The classification of smooth complex algebraic varieties of this type is a natural but difficult problem. Jointly with R. V. Gurjar and S. R. Gurjar, we classified smooth non-contractible complex affine Eilenberg-MacLane surfaces of (log) non-general type, and obtained an interesting result on the universal cover of smooth complex projective Eilenberg-MacLane surfaces, modulo an old conjecture of Igor R. Shafarevich. Finally, I will present my recent joint works with Indranil Biswas on the classification of smooth complex algebraic surfaces, affine and projective, with respect to another rational homotopy-theoretic property.