Seminar on Representation Theory

主講者: Professor Siu Hung Ng (Iowa State University)
講題: Congruence property and Galois Symmetry of modular categories
時間: 2011-06-30 (Thu.)  11:00 - 12:00
地點: 數學所 722 研討室 (台大院區)
Abstract: The natural representation of SL(2,Z) associated to a RCFT has been conjectured, by Eholzer, to be t-rational and have a congruence kernel. It is further conjectured by Coste and Gannon a Galois symmetry of this representation. Some of these conjectures have been proved mathematically in the context of modular tensor category, which is another formalism of RCFT. In this talk, we will discuss the representations of SL(2,Z) associated to modular tensor categories, and some recent progress on these conjectures.
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