报告题目：Homogeneous hypersurfaces of the four-dimensional Thurston geometry $Sol_0^4$

报告人：张喜（华南师范大学博士后）

报告时间：2025年9月28日（周日）9:00

报告地点：数学楼315会议室

报告摘要：In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry $Sol_0^4$ under certain geometric assumptions. As an application of classification result, we give a complete classification of homogeneous hypersurfaces in $Sol_0^4$, which solves a problem raised by Erjavec and Inoguchi (Problem 6.4 of [J. Geom. Anal. 33, Art. 274, (2023)]). This is a joint work with Marie D'haene, Guoxin Wei and Zeke Yao.

报告题目：The L_q Minkowski problem for p-harmonic measure

报告人：李海（陕西师范大学博士后）

报告时间：2025年9月28日（周日）10:00

报告地点：数学楼315会议室

报告摘要：In this talk, we consider an extreme problem associated with the solution to a boundary value problem. Our main focus is on establishing a variational formula for a functional related to the p-harmonic measure, from which a new measure is derived. This further motivates us to study the Minkowski problem for this new measure. As a main result, we prove the existence of solution to the Minkowski problem for 0<q<1 and 1<p≠n+1. This is a joint work with Longyu Wu and Baocheng Zhu.