Extra Form
강연자 국웅
소속 서울대학교
date 2013-10-10
The main topic of the talk is a determinantal formula for high dimensional tree numbers of acyclic complexes via combinatorial Laplace operators . This result is a generalization of Temperley's tree number formula for graphs, motivated by a simple (but not well-known) observation that Temperley's method uses combinatorial Laplacian  in dimension zero. The talk will begin with a brief survey of properties and applications of including network theory and topological data analysis. Towards the end, we will discuss a logarithmic version of the main formula of the talk and demonstrate intriguing applications of its generating function to various complexes that arise naturally in combinatorics.
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
수학강연회 Noncommutative Surfaces file 서강대학교 Jens Hoppe
수학강연회 The Shape of Data file Stanford University Gunnar E. Carlsson
수학강연회 Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
수학강연회 Subgroups of Mapping Class Groups file 서울대학교 김상현
수학강연회 Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
수학강연회 Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
수학강연회 정년퇴임 기념강연: Volume Conjecture file 서울대학교 김혁
수학강연회 Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
수학강연회 Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
수학강연회 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
수학강연회 L-function: complex vs. p-adic file 충북대학교 선해상
수학강연회 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing file 서울대학교 신동우
수학강연회 A brief introduction to stochastic models, stochastic integrals and stochastic PDEs file 고려대학교 김경훈
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic file 건국대/서울대 최인송
수학강연회 Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 Next
/ 11