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Are there some websites for self learining of advanced mathematics?
For example, some great lecture vedio of differential geometry, Lie group , Lie algebra, algebraic topology and so on. Thanks

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  • $\begingroup$ After some points it's mainly notes, books, papers, and if you're lucky enough sit in grad level seminars/classes. I doubt there are many, if at all, well organized video courses on advance topics. $\endgroup$
    – Asaf Karagila ♦
    Commented Dec 10, 2013 at 8:44
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    $\begingroup$ If you're looking for videos, then your request is covered by other questions on this site. $\endgroup$
    – S. Carnahan ♦
    Commented Dec 10, 2013 at 10:01
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    $\begingroup$ possible duplicate of Video lectures of mathematics courses available online for free $\endgroup$
    – Mark Grant
    Commented Dec 10, 2013 at 12:11

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Have you ever tried MIT OPENCOURSEWARE

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MSRI maintains excellent online videos of talks from most workshops. In many cases there are also lecture notes, and sometimes even notes from a discussion session (or problem session). The link is here:

http://www.msri.org/web/msri/online-videos

In general these will probably be research-level talks, but there are definitely some introductory talks hiding in there. As a random example, in Fall 2012, Lauren Williams presented an introductory mini-course on Cluster Algebras.

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