Seminar:
Analysis
Event time:
Thursday, November 30, 2023 - 9:00pm
Location:
KT 219
Speaker:
Yumeng Oh
Speaker affiliation:
UPenn
Event description:
Falconer’s distance set conjecture says that a compact set in Rd whose Hausdorff dimension larger than d/2 must have a distance set of positive measure. The conjecture is still open in all dimensions. In this talk, I’ll discuss some recent progress towards it in dimension three and higher, which involves new techniques from the theory of radial projections and decoupling. This is based on joint works with Xiumin Du, Kevin Ren, and Ruixiang Zhang.