The Harmonic Analysis and Several Complex Variables (HASCV) Seminar at OSU is dedicated to fostering connections and sharing new knowledge across areas of mathematical analysis. This seminar covers recent developments in real and complex analysis, including Cauchy-Riemann problems, convex geometry, geometric measure theory, time-frequency analysis, and more.
In November 2023, Prof. Eyvi Palsson from Virginia Tech discussed the Falconer distance problem, exploring how small a set can be while maintaining positive measures on the distance set. He reviewed the background from incidence geometry, introduced a variant of the problem in the multilinear setting, and presented a new approach using Fourier restriction theory.
In April 2024, Prof. Yuan Zhang from Purdue University Fort Wayne presented recent results on Cauchy-Riemann problems on product domains and the Hartogs triangle. She discussed new methods for constructing solution operators to the $\overline\partial$ equation, incorporating techniques from singular integral and weighted theory.
Moving forward, the HASCV seminar plans to continue supporting research for students and communication in analysis by inviting speakers from diverse areas. For more information about the seminar and upcoming events, visit our website.
(Contributed by Liding Yao, yao.1015@osu.edu)
