#LECTURES ON DIFFERENTIAL GEOMETRY SERIES#
If I had to advise a particular one, certainly the series at ICTP "Rogers-Ramanujan identities and the icosahedron" These lectures by Bernd Sturmfels on tropical geometry: ĭo not forget Norman J Wildberger's channel:, it is very good, even if he thinks that infinity does not exist :)įinally since I've fallen in love with Don Zagier, I suggest all of his lectures on youtube. The channel of Federico Ardila for the lovers of combinatorics: Pierre Albin's series on algebraic topology: Robin Hartshorne's lectures on deformation theory: Īll the lectures on Algebraic Geometry by Miles Reid, even if the audio/video quality is not the best. Most of them are not so recent as you are asking for, but in my opinion is still worthy to look at them.Ĭlaudio Arezzo's lectures on differential geometryĪll the videos of Joe Harris are wonderful in my opinion, see:, the Eilenberg lectures:, the lectures on Poncelet's theorem The motivation for this question is to spread information about exciting things happening in mathematical life/education lately. If you watched recently an online graduate course (free for all), and found it brilliant, by a lecturer whom you find great, and believe that the course taught you something, could you please share the info about it. I would guess, that currently there are some other great lecturers that started to upload their courses on YouTube (or some other platforms). It is also clear, that these lectures were worked out/improved through years, since Borcherds was giving similar ones in Berkeley (one can find some lecture notes by students online). Borcherds is an amazingly good lecturer (for my taste). I watched so far about 300 of his videos (about 90%) and they are really great. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.In 09.2020 by pure chance I discovered the YouTube channel of Richard Borcherds where he gives graduate courses in Group Theory, Algebraic Geometry, Schemes, Commutative Algebra, Galois Theory, Lie Groups, and Modular forms! (and an undergraduate courses in Theory of numbers and Complex analysis). The result was to further increase the merit of this stimulating, thought-provoking text - ideal for classroom use, but also perfectly suited for self-study. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there.įor this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. A selection of more difficult problems has been included to challenge the ambitious student. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry.
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