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

Graduate Geometry and Topology Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 347
Date
Mar 1, 2024   4:00 - 4:50 pm  
Speaker
Anthony D’Arienzo
Cost
n/a
Contact
Anthony D’Arienzo
E-Mail
apd6@illinois.edu
Views
50
Originating Calendar
General Events - Department of Mathematics

Title: Hodge theory and Cohomology

Abstract: Hodge theory is bridge between the topological properties of a smooth manifold, its cohomology, and its analytical properties, namely harmonic forms. This bridge enables the study of spaces whose topology break down yet still have a sensible notion of a smooth function space. I will review the classical example of this bridge: showing that every cohomology class on a smooth manifold has a unique harmonic form. Afterwards I will highlight some examples where this bridge can study generalized our singular spaces.

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