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1. ### <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...
Category수학강연회 소속송용수 강연자<학부생을 위한 ɛ 강연> Secure computation: Promise and challenges
2. ### Regularity of solutions of Hamilton-Jacobi equation on a domain

150902_HYKE.pdf
Category특별강연 소속ENS-Lyon 강연자Albert Fathi
3. ### 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...
Category특별강연 소속ENS-Lyon 강연자Albert Fathi
4. ### Fano manifolds of Calabi-Yau Type

Fano manifolds of Calabi-Yau Type
Category수학강연회 소속서울대학교 강연자Atanas Iliev
5. ### 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...
Category수학강연회 소속Univ. of Kentucky 강연자David Leep
6. ### 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...
Category특별강연 소속Univ. of Texas, Arlington 강연자Dimitar Grantcharov
7. ### 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...
Category수학강연회 소속CNRS (France) 강연자François Ledrappier
8. ### 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...
Category수학강연회 소속Ecole Polytechnique 강연자Francoise Golse
9. ### 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...
Category수학강연회 소속Yale Univ. 강연자Giulio Tiozzo
10. ### 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...
소속Lakehead University 강연자Grazia Viola
11. ### Persistent Homology

Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology...
Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
12. ### 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...
Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
13. ### 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 ...
Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
14. ### 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...
Category수학강연회 소속Stanford University 강연자Gunnar E. Carlsson
15. ### The significance of dimensions in mathematics

The significance of dimensions in mathematics
Category수학강연회 소속Kyoto Univ./서울대학교 강연자Heisuke Hironaka
16. ### 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...
Category수학강연회 소속Georgia Institute of Technology, School of Mathematics and School of Physics 강연자Jean V. Bellissard
17. ### 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
18. ### 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin)

CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자Kalachand Shuin