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1-2-3 Seminar: A tropical framework for using Porteous' formula

Andrew Tawfeek, University of Washington
Friday, January 26, 2024 - 2:30pm to 3:30pm
PDL C-401

Given a tropical cycle X, one can talk about a notion of ''tropical" vector bundles on X having tropical fibers. By restricting our attention to bounded rational sections of these bundles, one can develop a good notion of characteristic classes that behave as expected classically. We present further results on these characteristic classes and use these properties to prove a Porteous' formula for these bundles, which gives a determinantal expression of the fundamental class of degeneracy loci of a (tropical) bundle morphism in terms of their Chern classes. 

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