中科院数学与系统科学研究院
数学研究所
学术报告
表示论研讨班
报告人：邱燕南（杭州师范大学）
题 目：Cell properties of translations in affine Weyl groups
时 间：2023.06.29（星期四）14:30-15:30
地 点：腾讯会议号：133 271 302
摘 要：In this talk, we introduce some cell properties of translations in (extended) affine Weyl groups. We fine out some translations in the second lowest two-sided cell of an affine Weyl group, which can be used to formulate a refinement of Jianyi Shi ’s conjecture on the number of left cells in the second lowest two-sided cell. And we determine all translations in the lowest two-sided cell of an affine Weyl group.
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题 目：The based rings of two-sided cells in an affine Weyl group of type B_3
时 间：2023.06.29（星期四））15:40-16:40
地 点：腾讯会议号：133 271 302
摘 要：For an affine Weyl group W of type B_3, we show that Lusztig's conjecture on the structure of the based ring of the two-sided cell corresponding to the unipotent class in Sp_6(C) with 3 equal Jordan blocks needs modification. And we compute the based rings of the other two-side cells in W to verify Lusztig's conjecture. Moreover we give two possible modifications. This is a joint work with Nanhua Xi.
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