Are there any good video lectures for studying algebraic geometry?
Some graduate short-courses in FCEyN, UBA, Buenos Aires, Argentina:
- J. Harris, Intersection Theory
- R. Hartshorne, Introduction to Deformation Theory
- D. Maclagan, Introduction to Tropical Algebraic Geometry
- P. Beelen, Algebraic Geometric Codes
You haven't been very precise about what you want ; let me still suggest the "video homepage" of the IHES, where you'll find quality videos about various aspects of algebraic geometry.
This post is to link some videos from IMPA, Brazil.
Colóquio Brasileiro de Matemática:
- Algebraic Curves and their Moduli, Enrico Arbarello
- Modern enumerative geometry, Rahul Pandharipande
- On the classification of algebraic space curves, Robin Hartshorne
- Convex Algebraic Geometry - Bernd Sturmfels
IMPA 50 Anos:
The webpage of the Brazil-France School and Workshop on Algebraic Geometry contains links to the following videos:
- Introduction to algebraic groups, Bertrand Rémy
- Frobenius splitting, Stéphane Druel
- Rational curves on algebraic varieties, Carolina Araujo
- Introduction to Berkovich geometry, Amaury Thuillier
- Rational points and rational curves, Emmanuel Peyre
- Geometric Invariant Theory, Eduardo Esteves
- Bergman kernels and applications, Mihai Paun
- Exponential rarefaction of real curves with many components, Jean-Yves Welschinger
- Berkovich geometry and Satake compactifications, Bertrand Rémy
- Counting, Tightness and (non arch.) Symmetric spaces, Rodolphe Richard
- On recursive towers of curves over finite fields, Arnaldo Garcia
If you understand Russian, then you can listen to lectures of Orlov and Kuznetsov that are given here:
Orlov is giving lectures on Hartshorne's level, these are very good lectures. I hope very much that your question will get more answers.
Added. It turns out that on the same website there is a course called "Algebra 3, 2010", it is by Loktev. This course can be seen as an introductory course to algebraic geometry (treating Bezout's theorem, Nullstellensatz and many other things). I find this course really well done and very well motivated. (of course this is in Russian).
The following lectures by Caucher Birkar provide a great introduction to birational geometry and its most recent developments:
The conference Algebraic Geometry Northeastern Series (AGNES), Stony Brook 2011.
These videos are included:
There is now an outstanding YouTube channel by Richard Borcherds with courses on Algebraic geometry (introduction), Schemes, Commutative algebra.
I watched all the videos so far (>200) and found all them really good, hope that there will be many more new videos on this channel.
If you look through the answers given in Martin Brandenburg's comment, someone's linked to MSRI. You may find more videos, by a quick search. What I found some months ago very informative and useful is, The Classical Algebraic Geometry Today, MSRI. The discussed subjects are so diverse to fill almost everyone's interests. Also, the sound and picture qualities are solid.
There are also three nice videos of lectures by Ugo Bruzzo entitled Algebraic geometry for physicists.
There is a complete course on Basic Algebraic Geometry. It is freely available on NPTEL
Please click the link below:
Ravi Vakil's online course AGITTOC 2020 , "Algebraic Topology in the Time of COVID".
There is a series of lectures here by Indranil Biswas ("Principal Bundles"), Amit Hogadi ("Introduction to Algebraic Stacks"), Nitin Nitsure ("Deformation Theory and Moduli"), and Vikraman Balaji ("Instability and tensor products") during the "Triple masterclass on Algebraic Geometry, June 2014" at the Aarhus University.