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Commutative Algebra Webinar وبینار جبر جابجایی




TITLE  
Lifting Theory for DG Modules


LECTURER  
Saeed Nasseh  
Georgia Southern University, USA  
 


TIME  
Thursday, May 6, 2021,   18:00 - 20:00


VENUE   Lecture Hall 1, Niavaran Bldg.



SUMMARY

 

Lifting theory for modules was studied intensively by Auslander, Ding, and Solberg. This notion is tightly connected to the deformation theory of modules and has important applications in the theory of maximal Cohen-Macaulay approximations. Later, Yoshino generalized the lifting results for modules to the case of complexes. Further generalization was given by Nasseh and Sather-Wagstaff for DG modules (a notion from rational homotopy theory) in order to obtain a clearer insight on a conjecture of Vasconcelos (which is not a conjecture anymore) in commutative algebra. In this talk, I will survey recent developments on lifting theory for DG modules and describe the relationship between this notion and another conjecture in commutative algebra, namely, the Auslander-Reiten conjecture.

Join Zoom Meeting
https://zoom.us/j/9299700405?pwd=VTM5OW53dWFkbjcxQXBBalhiNWc2dz09
Meeting ID: 929 970 0405
Passcode: 210406

 




تهران، ضلع‌ جنوبی ميدان شهيد باهنر (نياوران)، پژوهشگاه دانش‌های بنيادی، پژوهشکده رياضيات
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Niavaran Bldg., Niavaran Square, Tehran
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