Research Seminars @ Illinois

Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

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Morgan Opie (Northwestern): Algebraic vector bundles of rank 2 over smooth affine fourfolds

Event Type
Seminar/Symposium
Sponsor
UIUC Math Department
Location
Altgeld 243
Date
Nov 11, 2025   11:00 am  
Views
68
Originating Calendar
Topology Seminar

To what extent do Chow-valued Chern classes determine the isomorphism class of an algebraic vector bundle? When restricted to a smooth affine variety, this question is accessible via motivic obstruction theory. In this talk, I’ll discuss some progress on this question for algebraic vector bundles of rank 2 over smooth affine fourfolds. As a consequence, I will deduce some cohomological classification results (e.g., over the complex numbers, there are exactly 9 isomorphism classes of rank 2 vector bundles over the complement of a smooth degree 3 hypersurface in P^4). This is joint work with Thomas Brazelton and Tariq Syed.

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