Colloquium
Why do we study local fields?
작성자Author
수학과
작성일Date
20180528 11:30
조회Views
625
분야Field  2018 Math Colloquim  

날짜Date  20180601  시간Time  15:50 ~ 18:00 
장소Place  Math. Bldg. 404  초청자Host  
연사Speaker  Sungmun Cho  소속Affiliation  POSTECH 
TOPIC  Why do we study local fields?  
소개 및 안내사항Content  Part I Title: Why do we study local fields? Abstract: In this talk, I will explain motivation of studying a padic local field from various localglobal principles. Basic properties, Hensel's lemma, and local class field theory (if time permits) would be discussed. I will explain them as easy as possible, so undergraduate students are welcome to join. Part II Title: Linking between intersection numbers and modular forms Abstract: In this talk, I will start with 'modularity' which explains relations among Lfunctions, geometric objects (elliptic curves), and analytic objects (modular forms). For instances of applications, it yields Fermat's last theorem and BSD conjecture (in low rank case). I will then explain how linking between intersection numbers and modular forms can be understood in the context of modularity. If time permits, then I will introduce an ongoing project. A main goal of this talk is to introduce the subject to nonnumber theorists, by minimizing use of technical terminologies. 
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