Building on the previous talk, I will set up the construction of a (flat, sharp) integral Euler system associated to the Rankin-Selberg product for a pair of non-ordinary modular forms and also show the Iwasawa theoretic results one can obtain from the same.

If time permits, I will also show how one can also prove similar results for the symmetric square case of a non-ordinary modular form. This is an ongoing project, joint with Kazim Buyukboduk, Antonio Lei and David Loeffler.