Algebra and Algebraic Geometry Seminar Spring 2025
The seminar normally meets 2:30-3:30pm on Fridays, in the room Van Vleck B325.
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Spring 2025 Schedule
| date | speaker | title | host/link to talk |
|---|---|---|---|
| January 31 | Jakub Koncki (Warsaw) | SSM Thom polynomials of multisingularities | Laurentiu |
| February 28 | Tamanna Chatterjee (Notre Dame) | TBA | Josh |
| April 4 | Sam Grushevsky (Stony Brook) | TBA | Dima |
| April 11 | Thomas Hameister (Boston College) | TBA | Josh/Dima |
Abstracts
Jakub Koncki
SSM Thom polynomials of multisingularities
Thom polynomials are a tool used for understanding the geometry of singular loci of maps. To a singularity germ \eta we associate a polynomial in infinitely many variables. Upon substituting these variables with the Chern classes of the relative tangent bundle of a stable map, we obtain the fundamental class of the \eta-singular loci of the given map. Thom polynomials have several generalizations, including extension to multisingularities, and polynomials that compute other cohomological properties of the singular loci, such as the Segre-Schwartz-MacPherson class.
In the talk, I will review these concepts and focus on the SSM-Thom polynomials of multisingularities. I will present a structure theorem for them that generalizes earlier results of Kazarian.
The talk is based on a joint project with R. Rimányi.