An invariant of the bi-Lipschitz contact equivalence of continuous definable function germs

Thời gian: 10:00 đến 11:30 Ngày 04/01/2019

Địa điểm: C2-714, VIASM

Báo cáo viên: Tiến-Sơn Phạm

Tóm tắt:

In this talk, we construct an invariant of the bi-Lipschitz contact equivalence of continuous function germs definable in a polynomially bounded o-minimal structure, such as semialgebraic and subanalytic functions. For a single germ $f,$ the invariant of $f$ is given in terms of the leading coefficients of the asymptotic expansions of $f$ along the connected components of the tangency variety of $f.$ This is a joint work with Bui Nguyen Thao Nguyen.