報告題目：Annihilator varieties of highest weight modules for classical Lie algebras
報告人：白占強 副教授（蘇州大學(xué)）
報告時間：2024年11月28日(周四)下午14:30-15:30
主持人：胡越 講師
地點：騰訊會議：736-923-817（密碼：123456）
報告摘要：
Let g be a semisimple complex Lie algebra. For a U(g)-module M, let I(M)=Ann(M) be its annihilator ideal in U(g) and J(M) be the corresponding graded ideal in S(g) = gr(U(g)). The zero set of J(M) in the dual vector space g* of g is called the annihilator variety of M, which is also called the associated variety of I(M). A two-sided ideal in U(g) is called primitive if it is the annihilator of an irreducible representation of g. In 1985, Joseph proved that the associated variety of a primitive ideal is the Zariski closure of a nilpotent orbit in g*. In this talk, we will give a combinatorial characterization of the annihilator varieties of highest weight modules for classical Lie algebras. We find that our method is much faster then Atlas software after some communications with Vogan.
主講人簡介：
白占強，蘇州大學(xué)數(shù)學(xué)科學(xué)學(xué)院副教授，碩士生導(dǎo)師，主要從事李群和李代數(shù)表示理論相關(guān)的研究工作。本科畢業(yè)于四川大學(xué)數(shù)學(xué)基地班，后在香港科技大學(xué)獲得博士學(xué)位。先后主持過博士后基金面上項目，國家自然科學(xué)基金青年基金，目前參與面上項目一項。在International Mathematics Research Notices, Science China-Mathematics, Representation Theory, Journal of Pure and Applied Algebra等SCI雜志上發(fā)表論文10余篇。
