Title: Introduction to Regularity of Elliptic and Parabolic Equations

Abstract:
We will review the history and the basic results on the regularity of elliptic and parabolic partial differential equations. New research problems are also discussed.

Short Bio: Professor Sun-Sig Byun is a professor at National Seoul University and the winner of Academic Award of the Year 2025 from the Korean Mathematical Society.

He got his Ph.D in 2003 from Iowa.

He is a leading researcher in PDEs and has published 177...

Title: Regularity of Elliptic and Parabolic Equations with Matrix Weights

Abstract:
This talk will present a broad class of degenerate elliptic and parabolic partial differential equations involving matrix weights. I will survey recent developments and optimal regularity results, with particular emphasis on matrix weights with small log-BMO norms within the framework of weighted Sobolev spaces.

Short Bio: Professor Sun-Sig Byun is a professor at National Seoul University and the winner of Academic...

Speaker: Shaoping Xiao, Department of Mechanical Engineering

The Great Plains Operator Theory Symposium. From a modest beginning in 1981, the Great Plains Operator Theory Symposium (GPOTS) has become a major annual conference. It rotates between Universities in the U.S., with a new host university every year, and with NSF funding. For Spring 2026, it will be at the University of Iowa, a founding university. By now, GPOTS has evolved into a major international conference on operator theory and operator algebras. The symposium focuses on recent developments...