We proved the codimension three conjecture that says the micro-local perverse sheaves extend if it is defined outside odimension three (counting from Lagrangian subvarity). It is a joint work with Kari Vilonen.
We start with the famous Heisenberg uncertainty principle to give the idea of the probability in quantum mechanics. The Heisenberg uncertainty principle states by precise inequalities that the product of uncertainties of two physical quantit...
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....
학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's
조선시대 영의정을 지낸 최석정(1646-1715)은 그의 저서 구수략에 여러 크기의 직교라틴방진을 남겼는데 이는 combinatorial mathematics의 효시로 알려진 Leonhard Euler(1707?1783) 의 직교라틴방진보다도 적어도 61년이 앞서는 기록이다. 놀랍게도 최석정이...
젊은과학자상 수상기념강연: From particle to kinetic and hydrodynamic descriptions to flocking and synchronization
In this talk, I will report a recent progress for the modeling of collective behaviors of complex systems, in particular ocking and synchronization. Flocking and synchro-nization are ubiquitous in our daily life, for example, ocking of birds...
It is usually a difficult problem to characterize precisely which elements of a given integral domain can be written as a sum of squares of elements from the integral domain. Let R denote the ring of integers in a quadratic number field. Thi...
We survey work on a class of nonlinear elliptic PDEs that was initiated by Moser. Methods from PDE, dynamical systems, and geometry set in the framework of the calculus of variations are used to construct a rich collection of solutions.
Category수학강연회소속Univ. of Wisconsin/포항공대강연자Paul Rabinowitz
A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold M2 which can be realized as isometric immersions into R3. This problem can be formulated as initial and/or boundary ...
Category수학강연회소속Univ. of Wisconsin강연자Marshall Slemrod
We will introduce the behavior of zeros of linear combinations of zeta functions. Those linear combinations are related to the Riemann zeta function, the Eisenstein series, Periods, etc.
Limit computations in algebraic geometry and their complexity
Given a one-parameter family of algebraic varieties, its point-wise limit is usually too small whereas its algebraic limit is usually too big. I will introduce a notion of meaningful geometric limit and explain how it can be effectively comp...
