应pc加拿大预测准确率邀请，同济大学宋林亮副教授将于2023年12月7日进行线上学术讲座。

  题 目：Categorification related to cyclotomic (oriented) Brauer categories

  时 间：2023年12月7日，16:00--17:30 (北京时间)

  腾讯会议ID：267958746 (链接：https://meeting.tencent.com/dm/AUP0uuODTaGj）

  摘 要：Ariki's categorification theorem connects the various fundamental problems in representation theory of Cyclotomic Hecke algebras to important invariants of the integrable highest weight module of (affine) type A. This talk establishes an analog of Ariki's categorification theorem related to cyclotomic oriented Brauer categories and Kauffman categories. These categories are categorical versions of (cyclotomic walled) Brauer algebras, cyclotomic BMW algebras which appear naturally in Lie theory via Schur-Weyl duality. In particular, the categorification theorem for cyclotomic oriented Brauer category was conjectured by Brundan-Comes-Nash-Reynolds in 2013. The proof relies on the notion of weakly triangular decomposition, which provides a sufficient condition to show that the corresponding categories are upper finite fully stratified category in the sense of Brundan-Stroppel. This talk is based on joint works with H.Rui, and joint works with M.Gao and H.Rui.

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报告人简介

宋林亮，同济大学数学科学学院副教授，研究方向为表示论和李理论：范畴化和Schur-Weyl对偶、李（超）代数和量子群、（仿射和分圆）Hecke代数、（量子 walled) Brauer 代数等。主持国家自然科学基金面上项目、青年项目等基金。研究成果发表在Adv. Math.、Math. Z.、J. Algebra 等国际期刊。

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

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萃英学院

2023年12月6日