华罗庚数学中心量子信息系列报告
报告人：Terry Gannon（University of Alberta）
题 目：Exceptional modular invariants are rare
时 间：2018.06.19（星期二），10:00-11:00
地 点：数学院南楼N212室
摘 要：Let g be a simple finite-dimensional Lie algebra and k be a positive integer. An old question is to identify all possible modular invariants for g at level k. The result for g=sl(2) is the famous ADE classification of Cappelli-Itzykson-Zuber from 1987. Understanding this ADE pattern at a deeper level was a crucial original motivation for Ocneanu's work. Somewhat later, the analogous classification for g=sl(3) was found; that classification is intimately connected to Jacobians for Fermat curves. Little else is known. However, recent work makes the analogous classification for all Lie groups up to rank 8 or so imminent. The key step is a bound K(g) which grows like the cube of the rank of g: when the level k is greater than K(g), the only modular invariants come from symmetries of the extended Dynkin diagram of g. My talk will describe the problem and explain the bound.
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报告人：Zhengwei Liu（Harvard University）
题 目：Picture language program
时 间：2018.06.20（星期三），15:00-16:00
地 点：数学院南楼N109室
摘 要：We discuss the appearance of pictures in mathematics. We emphasize a bi-directional process between picture language and mathematical concepts: abstraction and simulation. This provides a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.
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报告人：Vincent Braunack-Mayer（University of Zurich）
题 目：Rational parametrised stable homotopy theory
时 间：2018.06.22（星期五），15:00-16:00
地 点：数学院南楼N210室
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