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

Rudradip Biswas (Warwick): An Antieau-Gepner-Heller conjecture and generalizations

Event Type: Seminar/Symposium
Sponsor: UIUC Math Department
Location: Altgeld 241
Date: Oct 22, 2024 11:00 am
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Originating Calendar: Topology Seminar; It was first conjectured by Antieau, Gepner, and Heller (and is now a theorem due to Neeman) that for a noetherian finite dimensional scheme X, the category of perfect complexes over X has a bounded t-structure iff X is regular. I will talk about a general result that I proved jointly with Hongxing Chen, Kabeer M Rahul, C Parker, and Junhua Zheng (arxiv:2401.00130) that gives a new obstruction to the existence of bounded t-structures on triangulated categories satisfying a small finiteness condition. Our result, when applied to Perf(X) for X noetherian finite-dimensional, outputs the earlier result. Several other relevant existing results get generalized or improved in the process. I will discuss applications of our results to triangulated categories arising from E1-rings.

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