Regularity in Classical and Variational Analysis

Thời gian: 09:00 đến 10:30 ngày 15/12/2016, 09:00 đến 10:30 ngày 16/12/2016,

Địa điểm: C2-714

Báo cáo viên: Alexander Ioffe

Tóm tắt:

Metric regularity has emerged during last 2-3 decades as one of the central concept of variational analysis, a new branch of analysis studying objects that lack smoothness or differentiability. The roots of the concept go back to a circle of fundamental regularity ideas associated with such results as implicit function theorem, Banach open mapping theorem, Sard theorem and Thom's transversality theory.

In the two lectures I shall try to present some basic principles of the regularity theory of variational analysis and to discuss a number of applications to analysis and optimization.