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From existential definability and differential equations to transseries

Symposium in Honor of Julia Robinson’s 100th Birthday December 09, 2019 - December 09, 2019

December 09, 2019 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Lou van den Dries (University of Illinois at Urbana-Champaign)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Definability, in particular existential definability, is a central concept in Julia Robinson’s work.
I will discuss its dual role in relation to (algebraic) differential equations. This leads naturally to the idea of transseries. My work on this is joint with Matthias Aschenbrenner and Joris van der Hoeven, and has resulted in a complete theory of solving differential equations with initial conditions in the differential field of transseries. I will also briefly talk about the connection to Hardy fields that we have established recently.

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H.264 Video 955_27742_8102_955_27742_8100_955_27742_8090_1-van_den_Dries.mp4
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