»ã±¨±êÌâ (Title)£º Lattice structure of modular vertex algebras£¨Ä£¶¥µã´úÊýµÄ¸ñ½á¹¹£©

»ã±¨ÈË (Speaker)£º ¾°ÄË»¸½ÌÊÚ (±±¿¨ÖÝÁ¢´óѧ)

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ26ÈÕ£¨ÖÜËÄ£©15:00-16:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

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»ã±¨ÌáÒª£º The integral lattice of VOA was constructed by Dong and Griess for finite automorphism group of the VOA. We will show that the general divided powers of vertex operators preserve the integral form spanned by Schur functions indexed by partition-valued functions, which generate an analog of the Kostant-Lusztig Z-form for the lattice VOA. In particular, we show that the Garland operators, counterparts of divided powers of Heisenberg elements in affine Lie algebras, also preserve the integral form. We also study the irreducible modules for the modular lattice vertex algebra.