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Extra Form
Lecturer 국웅
Dept. 서울대학교
date Oct 10, 2013
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.
Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
Math Colloquia Idempotents and topologies file University of Waterloo Nico Spronk
Math Colloquia Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
Math Colloquia Existence of positive solutions for φ-Laplacian systems file 이용훈 수학강연회,특별강연,대중강연
Math Colloquia Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
Math Colloquia Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
Math Colloquia Noncommutative Surfaces file 서강대학교 Jens Hoppe
Math Colloquia The Shape of Data file Stanford University Gunnar E. Carlsson
Math Colloquia 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
Math Colloquia Subgroups of Mapping Class Groups file 서울대학교 김상현
Math Colloquia Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
Math Colloquia Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
Math Colloquia 정년퇴임 기념강연: Volume Conjecture file 서울대학교 김혁
Math Colloquia Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
Math Colloquia 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
Math Colloquia L-function: complex vs. p-adic file 충북대학교 선해상
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