t2-stratifications

Pablo CUBIDES KOVACSICS
Universität Düsseldorf
http://reh.math.uni-duesseldorf.de/~cubides/

Date(s) : 07/10/2021   iCal
14 h 00 min - 15 h 00 min

Stratifications are a classical tool to study singularities of real and complex algebraic varieties. Working in a larger field extension equipped with a valuation, I. Halupczok introduced a valuative variant which he called t-stratifications. He proved their existence and showed how they can be used to recover Whitney stratifications over the real and the complex numbers. In a joint work with I. Halupczok, we introduced a strengthening of the notion of t-stratification, which we call t2-stratifications. We proved their existence over algebraically closed valued fields and show how they induce the existence of Lipschitz stratifications of complex algebraic varieties.

The aim of this talk is to introduce both t and t2-stratifications , motivated by their relation with the above mentioned classical notions. If time permits, I will say a bit more about stronger variants arising in a similar framework.

 

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