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數學專家報告——2020年算子代數系列學術報告預告(二)

發布日期 : 2020-06-05 瀏覽次數 :

1、報告題目:連通性問題進展

報告人: 紀友清教授(吉林大學數學學院)

報告摘要:套代數的可逆元群是否為道路連通的?這個問題已經公開幾十年,至今仍然沒有完全解決。我們這里介紹一下這個問題的進展情況和最新相關結果。

報告時間:2020年65日下午2:30--3:10

報告地點:騰訊會議 會議 ID 228 258 955

2、報告題目:Dilation of oblique dual pairs of frame sequences

報告人: 李鵬同教授(南京航空航天大學理學院)

報告摘要: In this talk, I shall introduce the dilation of oblique dual pairs for frame sequences. The main result says that any oblique dual pair of frame sequences in a Hilbert space can be dilated to an oblique dual pair of Riesz sequences in a larger Hilbert space, which essentially extends the well known dilation result for dual frames. Also, similar results for frame vectors associated with group representations are considered.

報告時間:2020年65日下午3:15--3:55

報告地點:騰訊會議 會議 ID 228 258 955

3、報告題目: Linear combinations of composition operators on Bergman  spaces.                    

報告人:王茂發教授(武漢大學數學科學學院)

報告摘要:Motivated by the question of Shapiro and Sundberg raised in 1990, study on linear combinations of composition operators has been a topic of growing interest. In this talk, we completely characterize the compactness of any linear combination of composition operators with general symbols on the weighted Bergman spaces in terms of three different point views: one is a function theoretic characterization of Julia-Caratheodory type, the second is a measure theoretic characterization of Carleson type, and the other is of power type characterization. Our approach is completely different from what have been known so far.    

報告時間:2020年65日下午4:00-4:40

報告地點:騰訊會議 會議 ID 228 258 955

4、報告題目:Topology on Universal Coefficient Theorems of C*-Algebras

報告人: 魏常果教授(中國海洋大學數學科學學院)

報告摘要: In this talk, I will recall topological structures on Ext-groups of C*-algebra Extensions and introduce our recent work on topologizing UCTs of C*-algebras. It is proved that the stable strong Ext-group and the stable weak Ext-group for unital extensions are pseudopolish groups if A is a unital C*-algebra in the bootstrap class N and B is a stable separable C*-algebra. Furthermore, we topologize certain UCTs and prove that these UCTs are exact sequences as topological groups.

報告時間:2020年65日下午4:45--5:25

報告地點:騰訊會議 會議 ID 228 258 955

 

 

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