報告題目：Mixed Cohomology of Lie Superalgebras
報 告 人：蘇育才教授 同濟大學
報告時間：5月25日 14：00-14:50
報告地點：數學樓617
報告摘要：
Supermanifolds are known to admit both differential forms and integral forms, thus any appropriate super analogue of the de Rham theory should take both types of forms into account. However, the cohomology of Lie superalgebras studied so far in the literature involves only differential forms when interpreted as a de Rham theory for Lie supergroups. Thus a new cohomology theory of Lie superalgebras is needed to fully incorporate differential-integral forms, and we investigate such a theory here. This new cohomology is defined by a BRST complex of Lie superalgebra modules, and includes the standard Lie superalgebra cohomology as a special case. General properties expected of a cohomology theory are established for the new cohomology, and examples of the new cohomology groups are computed. This is a joint work with R.B. Zhang.
報告人簡介：
蘇育才，同濟大學數學系特聘教授，同濟大學數學研究所所長，國家傑出青年基金獲得者，主持國家自然科學基金重點項目。主要研究領域為李（超）代數及其表示理論，特别是在李超代數特征标的相關研究上，做出了很多重要成果。現為《Algebra Colloquium》、《Journal of Algebra and Applications》、《數學學報》等多個學術雜志的編委。發表學術論文100多篇。
