Research Seminars @ Illinois

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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.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Candace Bethea (Brown): ZOOM TALK (see abstract)

Event Type

Seminar/Symposium

Sponsor

UIUC Math Department

Location

Altgeld 241

Virtual

Date

Apr 1, 2025 11:00 am

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Originating Calendar

Topology Seminar

Due to another flight cancellation, we have to move this talk to zoom. I will be setting up a laptop in the seminar room for those who wish to attend in person. The zoom meeting link is below, password is 123.

https://illinois.zoom.us/j/81880639335?pwd=Y7SNubyzAk7dHMcNFNKrpMfAcK2Iuz.1

Counting rational curves equivariantly

This talk will be a friendly introduction to how one might use equivariant homotopy theory to answer enumerative questions under the presence of a finite group action. Recent work with Kirsten Wickelgren (Duke) defines a global and local degree in stable equivariant homotopy theory that can be used to compute the equivariant Euler characteristic and Euler number. I will discuss an application to counting orbits of rational plane cubics through an invariant set of 8 points in general position under a finite group action on $\mathbb{ $C P}^2$$ , valued in the representation ring and Burnside ring. This recovers a signed count of real rational cubics when $\mathbb{ $Z} /2$$ acts on $\mathbb{ $C P} 2$$ by complex conjugation.

link for robots only