Recent developments in arc-analytic geometry

Janusz Adamus
Western University, London, Ontario, Canada

Date(s) : 24/06/2021   iCal
14 h 00 min - 15 h 00 min

The elegant theory of arc-analytic functions and arc-symmetric sets was founded by Kurdyka in the late 80’s, and later expanded by Bierstone and Milman, Parusinski, and others. Recently, in a joint work with H. Seyedinejad, we proved some results that position the theory of semialgebraic arc-analytic functions (and their zero loci) as arguably the most powerful and complete real algebraic analogue of complex algebraic geometry. In this talk, we will briefly review the historic development of the theory, discuss some classical examples, and sketch the proofs of our recent results.





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