應(yīng)yl7703永利官網(wǎng)邀請，同濟(jì)大學(xué)宋林亮副教授將于2023年12月7日進(jìn)行線上學(xué)術(shù)講座。

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

  時(shí) 間：2023年12月7日，16:00--17:30 (北京時(shí)間)

  騰訊會(huì)議ID：267958746 (鏈接：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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報(bào)告人簡介

宋林亮，同濟(jì)大學(xué)數(shù)學(xué)科學(xué)學(xué)院副教授，研究方向?yàn)楸硎菊摵屠罾碚摚悍懂牷蚐chur-Weyl對偶、李（超）代數(shù)和量子群、（仿射和分圓）Hecke代數(shù)、（量子 walled) Brauer 代數(shù)等。主持國家自然科學(xué)基金面上項(xiàng)目、青年項(xiàng)目等基金。研究成果發(fā)表在Adv. Math.、Math. Z.、J. Algebra 等國際期刊。

甘肅應(yīng)用數(shù)學(xué)中心

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2023年12月6日