報告題目：The cyclotomic Brauer category
報告時間：2023年10月23日下午16:30-17:10
報告地點：X30425
報告人：芮和兵（同濟大學(xué)）
摘要：Affine Brauer category A? is a linear monodical category over an algebraically closed field with characteristic different from 2. Let A be the path algebra associated with the quotient category C? of A? called the cyclotomic Brauer category. We prove that the category A-lfdmod of locally finite dimensional left A-modules is an upper finite fully stratified category in the sense of Brundan-Stroppel. In particular, any projective cover of a simple A-module admits a filtration of standard modules with finite length. Let A?-mod be the full subcategory of A-lfdmod in which each object admits a finite standard flag. We use the Grothendieck group of A?-mod to categorify certain integral gθ-modules where gθ is the classical limit of (quasi-split) type AIII i-quantum group. This is a joint work with M. Gao and L. Song.
報告人簡介：芮和兵，同濟大學(xué)教授，博士生導(dǎo)師，國家杰出青年基獲得者，曾獲教育部新世紀人才計劃，教育部優(yōu)秀青年教師資助計劃，上海市優(yōu)秀學(xué)科帶頭人資助計劃，上海市自然科學(xué)一等獎。芮老師多年來一直從事與李代數(shù)、量子群有關(guān)的一些結(jié)合代數(shù)的表示理論研究，在Adv. Math., Trans. Amer. Math. Soc., Int. Math. Res. Not., J. Reine Angew. Math., Math. Z.等國際著名雜志發(fā)表論文40多篇。
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