中科院数学与系统科学研究院

华罗庚数学科学中心

量子信息系列报告

报告人：Han Li (Georgia Institute of Technology)

题  目：Introduction to Random Matrix Theory and Topological Recursion

时  间：2018.07.09（星期一），15:00-16:00

地  点：数学院南楼N902室

摘  要：In this talk I will give a brief introduction to random matrix theory, its planar structure, and the theory of topological recursion by Eynard-Orantin which is developed from the full genus expansion of Hermitian matrix models. Since its inception the same recursive structure is found in many seemingly unrelated enumerative geometry problems. I will mention a few of them and possible further directions.

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报告人：Yunxiang Ren (University of Tennessee Knoxville)

题  目：Applications of Planar algebras to Graph theory

时  间：2018.07.10（星期二），15:00-16:00

地  点：数学院南楼N902室

摘  要：Planar algebras were introduced by Jones as an axiomatization of standard invariants for subfactors. This topological viewpoint for subfactors provides a natural interpretation of problems in graph theory and further tools to study them. In this talk, we will describe the idea of applying planar algebras to graph theory, specifically to the independence number and Shannon Capacity of graphs.

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报告人：Michele Tienni & Davis Lazowski  (Harvard University)

题  目：Canonical Categorical Construction of Lie Algebras

时  间：2018.07.11（星期三），15:00-16:00

地  点：数学院南楼N902室

摘 要：We outline a construction of (the universal enveloping algebra of) a Lie algebra from its Dynkin diagram. This construction is novel in that it does not come from representations of an oriented quiver, but rather is canonical.