2:00 pm Tuesday, October 16, 2007
Junior Number Theory: Complex Geometry and the Junior Number Theorist by Adriana Salerno (UT-Austin) in RLM 9.166
There comes a time in the life of a Junior Number Theorist in which he or she might have to face the following fact: they need to know some geometry in order to make good progress. In this talk, I will give a very basic overview (assuming only some knowledge of prelim analysis, topology and algebra) of some geometry that shows up in number theory, and I will focus specifically on the case of elliptic curves. Periods, the Hodge decomposition, Picard-Fuchs equations and monodromy will make brief appearances, and I hope to even prove some theorems if time permits. Also, I will try to explain why I specifically care about these things and what they have to do with my research. Submitted by
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