https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 박지훈
Dept. 포항공과대학교
date Apr 07, 2011
The theory of L-functions and zeta functions have been the key subject of mathematical research during the centuries since the Riemann zeta function was introduced and its important connection to the arithmetic of the integer was recognized. Though vast generalizations of the Riemann zeta function (for example, L-functions attached to motives, Galois representations, and automorphic representations) have been discovered and studied by many mathematicians, they are still mysterious analytic invariants. One approach to understand the origin of L-functions and their relation to number theory is studying p-adic L-functions and the Iwasawa main conjectures for a prime number p. In this talk, I will start from the simplest p-adic L-functions (due to Kubota-Leopoldt) and explain the idea of Iwasawa main conjecture, which gives a direct connection between p-adic L-functions and certain arithmetic objects called characteristic ideals. Hopefully we will be able to see how p-adic aspects of L-functions give some insight to their connection to arithmetic.
Atachment
Attachment '1'
  1. Randomness of prime numbers

    Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and seve...
    CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
    Read More
  2. Space.Time.Noise

    It has been more than thirty years since white noise analysis was launched systematically. It is now a good time to have an overview of the theory and to reflect on its advantages in order to anticipate further developments of this theory. O...
    CategoryMath Colloquia Dept.Meijo University LecturerTakeyuki Hida
    Read More
  3. 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

    Diffusion of information, rumors or epidemics via various social networks has been extensively studied for decades. In particular, Kempe, Kleinberg, and Tardos (KDD '03) proposed the general threshold model, a generalization of many mathemat...
    CategoryMath Colloquia Dept.KAIST Lecturer정교민
    Read More
  4. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

    Magnetic Resonance Electrical Impedance Tomography (MREIT) is a late medical imaging modality visualizing static conductivity images of electrically conducting subjects. When we inject current into the object, it produces internal distributi...
    CategoryMath Colloquia Dept.KAIST Lecturer이창옥
    Read More
  5. On Ingram’s Conjecture

    In this talk I will present some results in the area of topological, low-dimensional, discrete dynamical systems.
    CategoryMath Colloquia Dept.University of Zagrab LecturerSonja Stimac
    Read More
  6. Variational Methods without Nondegeneracy

    If a problem has an approximate solution, we try to get some information of the linearized kernel of the problem at the approximate solution to find a real solution. In this talk, I would like to introduce a different approach which is purel...
    CategoryMath Colloquia Dept.POSTECH Lecturer변재형
    Read More
  7. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

    In this talk, I will explain a relationship of the Chern-Simons invariant and the eta invariant for Schottky hyperbolic manifolds. The relating formula involves a defect term given by the Bergman tau function over the conformal boundary Riem...
    CategoryMath Colloquia Dept.KIAS Lecturer박진성
    Read More
  8. Brownian motion with darning and conformal mappings

    Brownian motion with darning (BMD) is a diffusion process obtained from Brownian motion by shorting each hole in the space into one point. In this talk, I will present a quick introduction to BMD and its basic properties including the zero p...
    CategoryMath Colloquia Dept.University of Washington LecturerZhen-Qing Chen
    Read More
  9. Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

    Representation theory is to study the actions of groups or algebras on vector spaces. Recently, its categorical version, categorical representation theory, attracts researchers in representation theory. In this theory we replace "vector spac...
    CategoryMath Colloquia Dept.Kyoto University/서울대학교 LecturerMasaki Kashiwara
    Read More
  10. 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data

    오랜 세월동안 기득권을 누려오던 통신 업계는 이제 성장의 한계에 직면해 있다. 통신의 고유 영역이던 음성통화와 데이터 통신은 스마트폰의 활성화, 사업구조의 변화 등으로 인해 여타 산업군들에게 그 자리를 내어주며 더이상 캐시카우의 역할을 하지 못하...
    CategoryMath Colloquia Dept.KT 전무 Lecturer양현미
    Read More
  11. Cloaking via Change of Variables

    We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
    CategoryMath Colloquia Dept.KAIST Lecturer임미경
    Read More
  12. How to solve linear systems in practice

    There are basically two approaches for solving linear systems: one is to exactly solve the linear sytem such as Gaussian-elimination. The other approximates the solution in the Krylov spaces; Conjugate-gradient and General minimum residual m...
    CategoryMath Colloquia Dept.이화여대 수학과 Lecturer민조홍
    Read More
  13. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

    We present a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrizati...
    CategoryMath Colloquia Dept.인하대학교 Lecturer강현배
    Read More
  14. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    CategoryMath Colloquia Dept.동경대학교 LecturerKawahigashi
    Read More
  15. 극소곡면의 등주부등식

    둘레가 같은 평면의 영역중에서 넓이가 최대인 것은 원이라는 것이 등주부등식이다. 이와 똑 같은 등주부등식이 극소곡면에 대해서도 성립할 것이라는 예상이 90년 전에 제기되었다. 이 예상의 역사와 현주소에 대해서 알아보기로 하자.
    CategoryMath Colloquia Dept.KIAS Lecturer최재경
    Read More
  16. Topology of configuration spaces on graphs

    학부에서 왜 abstract algebra I, II 를 온전히 배워야 하는지를 BC 5세기경 Pythagoras로 부터 시작된 수론 문제가 현재까지 어떻게 발전되어 왔는지를 예를 들어 설명합니다.
    CategoryMath Colloquia Dept.KAIST Lecturer고기형
    Read More
  17. 학부생을 위한 강연회: What is the algebraic number theory?

    학부에서 왜 abstract algebra I, II 를 온전히 배워야 하는지를 BC 5세기경 Pythagoras로 부터 시작된 수론 문제가 현재까지 어떻게 발전되어 왔는지를 예를 들어 설명합니다.
    CategoryMath Colloquia Dept.KAIST Lecturer구자경
    Read More
  18. 정년퇴임 기념강연회: 숙제

    정년퇴임 기념강연회: 숙제
    CategoryMath Colloquia Dept.서울대학교 Lecturer지동표
    Read More
  19. Integer partitions, q-series, and Modular forms

    In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on (1) combinatorial proof for q-series identities (2) ari...
    CategoryMath Colloquia Dept.서울과학기술 대학 Lecturer김병찬
    Read More
  20. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

    In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Mo...
    CategoryMath Colloquia Dept.Univ. of Connecticut Lecturer이규환
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 Next
/ 11