Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, December 5, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, December 5, 2018

4:00 pm in 245 Altgeld Hall,Wednesday, December 5, 2018

#### Orders of infinities: asymptotic valued differential fields

###### Nigel Pynn-Coates (UIUC Math)

Abstract: Asymptotic valued differential fields go back to work of Hardy and are motivated by comparing the asymptotic behaviour of solutions to differential equations. I will introduce valued differential fields and discuss some of this history. We will see how versions of l’Hôpital’s Rule show up as key properties in the subject. Along the way, I will draw some pictures to illustrate the topology of valued fields. Time permitting, I may mention some of my results or ongoing work.