Total positivity and symmetric spaces
报告专家：鲍涣辰 副教授（新加坡国立大学）
报告时间：9月18日（周五）15:00-16:00
报告地点：国家天元数学西南中心516
报告摘要：
We define a notion of total positivity for the symmetric space $G/K$ by taking the Hausdorff closure of the image of Lusztig's totally positive part $G_{>0}$ in $G/K$. We introduce double Bruhat cells for the symmetric space and define their totally positive pieces. We prove a cell decomposition of the totally nonnegative symmetric space, give explicit positive parametrizations of all cells, establish closure relations, and show that the transition maps between the two natural families of parametrizations are subtraction-free. This generalizes Lusztig's theory of total positivity in reductive groups.
邀请人：卢明
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