Department of

Mathematics


Seminar Calendar
for events the day of Friday, October 2, 2020.

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Friday, October 2, 2020

1:00 pm in Zoom,Friday, October 2, 2020

Abstract: TBA

4:00 pm in Zoom (email ruiyuan at illinois for info),Friday, October 2, 2020

T-convex T-differential fields and their immediate extensions (Part 1)

Elliot Kaplan (UIUC Math)

Abstract: Let T be an o-minimal theory extending the theory of ordered fields. A T-convex T-differential field is a model of T equipped with a T-convex valuation ring and a continuous T-derivation. This week and next week, I will discuss some of my recent work on immediate extensions of T-convex T-differential fields. This week will be focused on background (what a T-convex valuation ring is, what a T-derivation is, what immediate extensions are) and on examples of T-convex T-differential fields.