Speaker
Mr
Yimu Yin
(Sun Yat-Sun University)
Description
I will discuss Lipschitz stratification from a nonarchimedean point of view and thereby show that it exists for definable sets, not necessarily bounded, in any polynomial-bounded o-minimal field structure. Unlike the previous approaches in the literature, our method bypasses resolution of singularities and Weierstrass preparation altogether; it transfers the situation to a nonarchimedean model, where the failure of certain ``quantitative estimates'' are sharpened into valuation-theoretic inequalities and the desired stratification follows, reductio ad absurdum, from a construction that realizes these inequalities. (Joint work with Immanuel Halupczok)
