#  Seminar, Chunlan Jiang (Hebei Normal University), Similarity Invariants of Geometric Operators 

 



####  calendar\_today Date and Time 

 **October 30, 2018** 

 04:00PM - 05:00PM EDT 

####  pin\_drop Location 

 **Jefferson 356**  



 

 



 

   ![Chunlan Jiang](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/chunlanjiang.jpg?itok=stAVG_2x) 

 

 **Title**：Similarity Invariants of Geometric Operators

   
**Abstract**: In 1978, I.M.Cowen and R.G .Douglas introduced a class of geometric operators in a Grassmann manifold. In their influential paper they give a unitary invariant involving geometric ideas, such as curvature, that completely classifies these operators. At the same time they ask: Can one use geometric ideas to characterize completely the similarity invariants of geometric operators? We give a partial answer to this question. We show that the curvature and second fundamental form completely characterize the similarity invariants for a norm dense class of all geometric operators.



 

 



 

 

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