SPRING 2025 Nonlinear Analysis Seminar Series
*Anyone interested in the topic is welcomed to click here to access the lecture when it is being delivered. *To view the video, click the title of each lecture. |
Upcoming Events |
Date: Tuesday, 1st April 2025,
09:00-10:00 TST (GMT+8) , online on Zoom Speaker: Dr. Zane Li (NC State University) Title: TBA Abstract: TBA
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Date: Tuesday, 8th April 2025, 09:00-10:00 TST (GMT+8) , online on Zoom Speaker: Dr. Alan Chang (Washington University in St. Louis) Title: Venetian blinds, digital sundials, and efficient coverings Abstract: Davies's efficient covering theorem states that we can cover any measurable set in the plane by lines without increasing the total measure. This result has a dual formulation, known as Falconer's digital sundial theorem, which states that we can construct a set in the plane to have any desired projections, up to null sets. The argument relies on a Venetian blind construction, a classical method in geometric measure theory. In joint work with Alex McDonald and Krystal Taylor, we study a variant of Davies's efficient covering theorem in which we replace lines with curves. This has a dual formulation in terms of nonlinear projections. |
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