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1. ### Mathematics, Biology and Mathematical Biology

The 21st century is the age of life science. Two issues in the life sciences are that humans live long, healthy lives and maintain a steady state of the earth's ecosystems despite disturbances. In this talk, we will look at how mathematics i...
Category수학강연회 소속부산대학교 수학과 강연자정일효
2. ### Maximal averages in harmonic analysis

This talk concerns maximal functions given by averages over some family of geometric objects. I will discuss the boundedness of those maximal functions on the Lebesgue spaces and its role in problems of harmonic analysis.
소속서울대학교 강연자이상혁
3. ### Mechanization of proof: from 4-Color theorem to compiler verification

I will give a broad introduction to how to mechanize mathematics (or proof), which will be mainly about the proof assistant Coq. Mechanizing mathematics consists of (i) defining a set theory, (2) developing a tool that allows writing definit...
Category수학강연회 소속서울대 컴퓨터공학부 강연자허충길
4. ### Mirror symmetry of pairings

※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Mirror symmetry of pairings.pdf ) 초록: Mirror symmetry has served as a rich source of striking coincidences of various kinds. In this talk we will first review two kinds of mirror symmetry statem...
Category수학강연회 소속숭실대학교 강연자이상욱
5. ### Mixed type PDEs and compressible flow

If density of flow is globally a constant, then the flow is said incompressible. Otherwise, the flow is said compressible. Flow motion of compressible inviscid flow is governed by Euler system. The Euler system is a nonlinear PDE system desc...
Category수학강연회 소속POSTECH 강연자배명진
6. ### Mixing time of random processes

The general theory implies that the distribution of an irreducible Markov chain converges to its stationary distribution as time diverges to infinity. The speed of corresponding convergence is a significant issue in the study of mathematical...
Category수학강연회 소속서울대 강연자서인석
7. ### Noise-induced phenomena in stochastic heat equations

Stochastic heat equations (SHE) usually refer to heat equations perturbed by noise and can be a model for the density of diffusing particles under a random potential. When the irregularity of noise is dominating the diffusion, SHE exhibits ...
Category수학강연회 소속포항공대 강연자김건우
8. ### Non-commutative Lp-spaces and analysis on quantum spaces

In this talk we will take a look at analysis on quantum spaces using non-commutative Lp spaces. We will first review what a non-commutative Lpspace is, and then we will see few examples of quantum spaces where Lp analysis problems arise natu...
Category수학강연회 소속서울대학교 강연자이훈희
9. ### Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry

A general goal of noncommutative geometry (in the sense of A. Connes) is to translate the main tools of differential geometry into the Hilbert space formalism of quantum mechanics by taking advantage of the familiar duality between spaces an...
Category수학강연회 소속서울대학교 강연자Raphael Ponge
10. ### Noncommutative Surfaces

Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one...
Category수학강연회 소속서강대학교 강연자Jens Hoppe
11. ### Nonlocal generators of jump type Markov processes

Empirical observations have shown that for an adequate description of many random phenomena non-Gaussian processes are needed. The paths of these Markov processes necessarily have jumps. Their generators are nonlocal operators which admit a ...
Category수학강연회 소속University of Bielefeld 강연자Walter Hoh
12. ### Normal form reduction for unconditional well-posedness of canonical dispersive equations

Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the not...
Category수학강연회 소속KAIST 강연자권순식
13. ### Number theoretic results in a family

Unconditional results without an unproved hypothesis such as the generalized Riemann hypothesis (GRH) are very weak for an individual number field. But if we consider a family of number fields, one can prove just as strong results as we woul...
Category수학강연회 소속Univ. of Toronto / KIAS 강연자Kim, Henry
14. ### On circle diffeomorphism groups

For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this grou...
Category수학강연회 소속고등과학원 강연자김상현
15. ### On function field and smooth specialization of a hypersurface in the projective space

In this talk, we will discuss two interesting problems on hypersurfaces in the projective space. The first one is the absolute Galois theory on the function field of a very general hypersurface in the projective space. The other one is the c...
Category수학강연회 소속KAIST 강연자이용남
16. ### On Ingram’s Conjecture

In this talk I will present some results in the area of topological, low-dimensional, discrete dynamical systems.
Category수학강연회 소속University of Zagrab 강연자Sonja Stimac
17. ### On some nonlinear elliptic problems

On some nonlinear elliptic problems
Category수학강연회 소속Paul Sabatier University, Toulouse 강연자Yuri Egorov
18. ### On the distributions of partition ranks and cranks

To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
Category수학강연회 소속서울과학기술대학교 강연자김병찬