【学术报告】Korevaar–Schoen's energy on strongly rectifiable spaces

• 主讲人：Alexander Tyulenev (Steklov Mathematical Institute of RAS)
• 时间：December 17, 2021, 17:00-18:00 Beijing time (12:00-13:00 Moscow time)
• 地点：online

Abstract: We extend Korevaar-Schoen’s theory of metric valued Sobolev maps to cover the case of the source space being an RCD-space. When the target space is CAT(0) we establish that the corresponding energy functional is convex, lower semicontinuous and admits a unique minimizer, in line with the smooth situation. The talk is based on the joined work: Nicola Gigli, Alexander Tyulenev, “Korevaar–Schoen's energy on strongly rectifiable spaces”, Calc. Var. Partial Differential Equations, 60 (2021), 235, 54 pp., arXiv: 2002.07440