[Settfa] [Set Theory] Tuesday 6 Dec, Pietro Freni

[Adam Bartoš]

Tuesday, 6 January 2026 - 10:00 to 11:30
Place: IM, Konírna, ground floor, front building

Speaker: Pietro Freni, Institute of Mathematics, Czech Academy of Sciences
Title: o-minimal expansions of ordered fields, convex valuations, and 
(trans)series

Abstract

The first half of the talk will be a gentle introduction to 
o-minimality, presenting some history, motivation, examples, and 
covering some basic fundamental results (cell-decomposition, Miller's 
growth dichotomy). A brief interlude on the theory of (T-)convex 
valuations on o-minimal expansions of fields will follow. The last part 
will be dedicated to discuss some connections with fields formal 
generalized series and transseries, and on how these can be used to 
explicitly construct and describe models of a given complete o-minimal 
theory expanding the theory of real closed field.


For more information see the seminar web page at
https://www.math.cas.cz/index.php/events/seminar/6 
<https://www.math.cas.cz/index.php/events/seminar/6>

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