»ã±¨±êÌâ (Title)£ºPointed modular tensor category£¨µãÄ£ÕÅÁ¿ÁìÓò£©

»ã±¨ÈË (Speaker)£º¶­³çÓ¢½ÌÊÚ£¨ÃÀ¹ú¼ÓÖÝ´óѧSanta Cruz·ÖУ½ÌÊÚ£©

»ã±¨¹¦·ò (Time)£º2022Äê3ÔÂ26ÈÕ(ÖÜÁù) 9:00-10:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé

»áÒéID£º765-947-281

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»ã±¨ÌáÒª£ºA modular tensor category is pointed if every simple object is a simple current. We show that any pointed modular tensor category is equivalent to the module category of a lattice vertex operator algebra. Moreover, if the pointed modular tensor category C is the module category of a twisted Drinfeld double associated to a finite abelian group G and a 3-cocycle with coefficients in U(1), then there exists a selfdual positive definite even lattice L such that G can be realized an automorphism group of lattice vertex operator algebra V_L, V_L^G is also a lattice vertex operator algebra and C is equivalent to the module category of V_L^G. This is a joint work with S. Ng and L. Ren.