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# Ian Philipp, GMA Seminar

## September 12, 2016 @ 4:00 pm - 5:00 pm

**Title:** The p-adic Numbers: From Local to Global

**Abstract: **The often mentioned (but scarcely used at UNC) p-adic numbers play a role in many branches of mathematics (and even recently in quantum mechanics). This talk aims to give an introduction to p-adic numbers including intuition and their construction, both analytically and algebraically. If time allows, I will discuss some other interesting content such as Ostrowski’s theorem, Hensel’s Lemma, and the Hasse Principle.