#  Online: Seminar, Stefaan Vaes (Katholieke Universiteit Leuven), W\*-rigidity Paradigms for Embeddings of II₁ Factors 

 



####  calendar\_today Date and Time 

 **February 2, 2021** 

 10:00AM - 10:00AM EST 

####  pin\_drop Location 

 **Zoom**  



 

 



 

   ![Stefaan Vaes](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/vaes.png?itok=8fnEeYhh) 

 

 **Location:** Zoom <https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09>

 **Time:** Tuesday, February 2, 2021, 10:00 AM (Eastern US), 15:00 (UK/Eire), 16:00 (Central Europe), 23:00 (China)

 **Title:** W\*-rigidity Paradigms for Embeddings of II₁ Factors

 **Abstract:** I will report on a recent joint work with Sorin Popa in which we undertake a systematic study of W\*-rigidity paradigms for the embedding relation between II₁ factors and their amplifications. We say that a II₁ factor M stably embeds into a II₁ factor N if M may be realized as a subfactor of an amplification of N, not necessarily of finite index. This is a preorder relation and we prove that it is as complicated as it can be: under the appropriate separability assumptions, we concretely realize any partially ordered set inside the preordered class of II₁ factors with embeddability.

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