Hello all, The next MaPSS talk of this semester will be at 17:00 on Tuesday(!) 8th of October in Carslaw 535. It’s a great opportunity to meet fellow postgrads, listen to an interesting talk, and of course get some free pizza! ************************************************************************************** Speaker: Joshua Ciappara Title: An introduction to p-adic analysis Abstract: Beginning with a discussion of ideas due to Kurt Hensel, we motivate and then construct the field of p-adic numbers \mathbb{Q}_p. En route, we will witness the unusual geometry of ultrametric spaces and a classification theorem due to Ostrowski. To conclude, we mention some applications, including a result of Hasse--Minkowski, Hensel’s Lemma, and directions of further study (rigid geometry, p-adic differential equations, ...) ************************************************************************************** See you there! Details can also be found on the school’s Postgraduate Society website: http://www.maths.usyd.edu.au/u/MaPS/mapss.2019.html