Why do we study local fields?

분야Field	2018 Math Colloquim
날짜Date	2018-06-01 ~ 2018-06-01	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 p-adic local field from various local-global 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 L-functions, 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 non-number theorists, by minimizing use of technical terminologies.​

학회명Field	Why do we study local fields?
날짜Date	2018-06-01 ~ 2018-06-01	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host
소개 및 안내사항Content	Part I Title: Why do we study local fields? Abstract: In this talk, I will explain motivation of studying a p-adic local field from various local-global 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 L-functions, 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 non-number theorists, by minimizing use of technical terminologies.​

성명Field	Why do we study local fields?
날짜Date	2018-06-01 ~ 2018-06-01	시간Time	15:50 ~ 18:00
소속Affiliation	POSTECH	초청자Host
소개 및 안내사항Content	Part I Title: Why do we study local fields? Abstract: In this talk, I will explain motivation of studying a p-adic local field from various local-global 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 L-functions, 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 non-number theorists, by minimizing use of technical terminologies.​

성명Field	Why do we study local fields?
날짜Date	2018-06-01 ~ 2018-06-01	시간Time	15:50 ~ 18:00
호실Host		인원수Affiliation	Sungmun Cho
사용목적Affiliation		신청방식Host	POSTECH
소개 및 안내사항Content	Part I Title: Why do we study local fields? Abstract: In this talk, I will explain motivation of studying a p-adic local field from various local-global 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 L-functions, 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 non-number theorists, by minimizing use of technical terminologies.​