https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
  1. Topological aspects in the theory of aperiodic solids and tiling spaces

    After a review of various types of tilings and aperiodic materials, the notion of tiling space (or Hull) will be defined. The action of the translation group makes it a dynamical system. Various local properties, such as the notion of "Finit...
    CategoryMath Colloquia Dept.Georgia Institute of Technology, School of Mathematics and School of Physics LecturerJean V. Bellissard
    Read More
  2. The significance of dimensions in mathematics

    The significance of dimensions in mathematics
    CategoryMath Colloquia Dept.Kyoto Univ./서울대학교 LecturerHeisuke Hironaka
    Read More
  3. Persistent Homology

    Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
    Read More
  4. Structures on Persistence Barcodes and Generalized Persistence

    Persistent homology produces invariants which take the form of barcodes, or nite collections of intervals. There are various structures one can imposed on them to yield a useful organization of the space of all barcodes. In addition, there...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
    Read More
  5. Topological Mapping of Point Cloud Data

    One of the important problems in understanding large and complex data sets is how to provide useful representations of a data set. We will discuss some existing methods, as well as topological mapping methods which use simplicial complexes ...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
    Read More
  6. The Shape of Data

    Creating information and knowledge from large and complex data sets is one the fundamental intellectual challenges currently being faced by the mathematical sciences. One approach to this problem comes from the mathematical subdiscipline cal...
    CategoryMath Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
    Read More
  7. Classification of simple amenable operator algebras

    The field of operator algebras deals with suitable closed subalgebras of the algebra of bounded linear operators on a Hilbert space. There are two types of operator algebras: C*-algebras and von Neumann algebras. In the 1970s A. Connes obtai...
    Dept.Lakehead University LecturerGrazia Viola
    Read More
  8. Random walks in spaces of negative curvature

    Given a group of isometries of a metric space, one can draw a random sequence of group elements, and look at its action on the space.  What are the asymptotic properties of such a random walk?  The answer depends on the geometry of the space...
    CategoryMath Colloquia Dept.Yale Univ. LecturerGiulio Tiozzo
    Read More
  9. Quantum Dynamics in the Mean-Field and Semiclassical Regime

    The talk will review a new approach to the limits of the quantum N-body dynamics leading to the Hartree equation (in the large N limit) and to the Liouville equation (in the small Planck constant limit). This new strategy for studying both l...
    CategoryMath Colloquia Dept.Ecole Polytechnique LecturerFrancoise Golse
    Read More
  10. Entropies on covers of compact manifolds

    We consider different growth rates associated with the geometry (distance, volume, heat kernel) on a cover of a compact Riemannian manifold. We present general inequalities. We discuss the rigidity results and questions in the case of negati...
    CategoryMath Colloquia Dept.CNRS (France) LecturerFrançois Ledrappier
    Read More
  11. Queer Lie Superalgebras

    The Lie superalgebra q(n) is the second super-analogue of the general Lie algebra gl(n). Due to its complicated structure, q(n) is usually called “the queer superalgebra”. In this talk we will discuss certain old and new results related to t...
    CategorySpecial Colloquia Dept.Univ. of Texas, Arlington LecturerDimitar Grantcharov
    Read More
  12. Sums of squares in quadratic number rings

    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...
    CategoryMath Colloquia Dept.Univ. of Kentucky LecturerDavid Leep
    Read More
  13. Fano manifolds of Calabi-Yau Type

    Fano manifolds of Calabi-Yau Type
    CategoryMath Colloquia Dept.서울대학교 LecturerAtanas Iliev
    Read More
  14. Regularity of solutions of Hamilton-Jacobi equation on a domain

    150902_HYKE.pdf
    CategorySpecial Colloquia Dept.ENS-Lyon LecturerAlbert Fathi
    Read More
  15. What is Weak KAM Theory?

    The goal of this lecture is to explain and motivate the connection between AubryMather theory (Dynamical Systems), and viscosity solutions of the Hamilton-Jacobi equation (PDE). This connection is the content of weak KAM Theory. The talk sho...
    CategorySpecial Colloquia Dept.ENS-Lyon LecturerAlbert Fathi
    Read More
  16. <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges

    This talk discusses modern cryptographic techniques, such as zero-knowledge proof, multi-party computation and homomorphic encryption, which provide advanced functionality and security guarantees beyond data privacy and authenticity. I will...
    CategoryMath Colloquia Dept.송용수 Lecturer<학부생을 위한 ɛ 강연> Secure computation: Promise and challenges
    Read More
Board Pagination Prev 1 ... 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15