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Does anyone know the existence of an expository paper or a report discussing the work of Skinner-Urban "The Iwasawa main conjecture for $\mathrm{GL}_2$"?

I am interested in partucular in the case of elliptic curve (as in the end of section 3 of Skinner-Urban's work).

Thank you!

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3 Answers 3

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Wan's introduction (in Beenakker's answer) is freely available http://www.match.uni-heidelberg.de/publications.php thanks to an agreement of Heidelberg math department with Springer.

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well, there is the Ph.D. thesis of Skinner's student Xin Wan that generalizes the work of Skinner and Urban. He also wrote an "Introduction to Skinner-Urban's Work on the Iwasawa Main Conjecture for GL$_2$" in volume 7 of Contributions in Mathematical and Computational Sciences.

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Skinner gave a series of four lectures in IAS introducing the proof. IAS kindly provided the recordings on Youtube.

Lecture 1: https://www.youtube.com/watch?v=Qdsct0VCXnE

Lecture 2: https://www.youtube.com/watch?v=iFHeQMBk33k

Lecture 3: https://www.youtube.com/watch?v=CKBWyUaqxtw

Lecture 4: https://www.youtube.com/watch?v=tMGLG4wFQfw

Unfortunately, the blackboard is sometimes not clear enough to read. One can refer to Wan's note to facilitate which is linked in one of the answer above.

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