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

Time: 10:00 to  11:30 Ngày 04/01/2019

Venue/Location: C2-714, VIASM

Speaker: Tiến-Sơn Phạm

Content:

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.