Are there any good video lectures for studying algebraic geometry?
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2$\begingroup$ Related: mathoverflow.net/questions/54430/… At least one answer also links to a algebraic geometry lecture. $\endgroup$– Martin BrandenburgCommented Oct 13, 2011 at 17:45
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1$\begingroup$ 1) What flavor of algebraic geometry? 2) How much depth do you need? $\endgroup$– Thierry ZellCommented Oct 13, 2011 at 18:11
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2$\begingroup$ Great question! I would love to know as many answers as possible to it $\endgroup$– aglearnerCommented Oct 13, 2011 at 21:29
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4$\begingroup$ @Martin: Quite right. I came here to post the link to Miles Reid's lectures warwick.ac.uk/staff/Miles.Reid/AGvid.html but I see it's already there. $\endgroup$– Mark GrantCommented Oct 14, 2011 at 6:51
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1$\begingroup$ this might be good newton.ac.uk/programmes/MOS/seminars/index.html $\endgroup$– LeiCommented Oct 14, 2011 at 15:58
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13 Answers
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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
Here are the links to the videos of these 4 lectures. Also available in this channel of the Universidad de Buenos Aires.
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4$\begingroup$ I was at Harris' lectures and can recommend them for anyone interested in an introduction to intersection theory. They are very motivated, example driven, and simply outstanding. $\endgroup$ Commented Dec 31, 2011 at 22:30
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$\begingroup$ Harris' lectures are really great indeed... $\endgroup$ Commented Apr 25, 2012 at 14:01
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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.
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Among the long list of lectures recorded every year in ICTP, here are 40 lectures each year by Lothar Goettsche on Algebraic Geometry:
2007/08 Algebraic Geometry Course in Mathematics
2008/09 Algebraic Geometry Course in Mathematics
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1$\begingroup$ I tried to watch the video. The sound is good, but the picture is terrible, completely impossible to see what is written on the board. Can you really see what is in this lecture? (maybe I am missing something, but I tried all three formats proposed on the website) $\endgroup$ Commented Oct 16, 2011 at 20:24
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1$\begingroup$ @aglearner: A high-res zoom can be seen on the right of the low-res video. It is updated every few seconds. $\endgroup$ Commented Oct 17, 2011 at 6:25
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$\begingroup$ @aglearner, it is recommended that you watch the videos on-line(with out downloading) as a high-res picture of the board is shot every 15 seconds and synchronized with the lecture video. $\endgroup$– UnknownCommented Oct 18, 2011 at 6:40
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2$\begingroup$ What is the depth? Hartshorne? Did anyone try these lectures? $\endgroup$ Commented Oct 1, 2015 at 7:15
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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:
Mini-courses:
- 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
Talks:
- 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
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There is now an outstanding YouTube channel by Richard Borcherds with courses on Algebraic geometry (introduction), Schemes, Commutative algebra.
https://www.youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ
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.
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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).
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The following lectures by Caucher Birkar provide a great introduction to birational geometry and its most recent developments:
http://www.dailymotion.com/playlist/x1j6g1_Sciences_Maths_Paris_birational-geometry/1#video=xgw1sp
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The conference Algebraic Geometry Northeastern Series (AGNES), Stony Brook 2011.
These videos are included:
Eyal Markman, Morrison's movable cone conjecture for irreducible holomorphic symplectic varieties
Patrick Brosnan, Degenerations of Mixed Hodge Structure from a Tannakian viewpoint
Valery Alexeev, Geometric meaning of toroidal compactifications of moduli spaces
Roya Beheshti, Spaces of rational curves on general hypersurfaces
Dawei Chen, Flat surfaces, moduli of differentials and Teichmueller curves
Mircea Mustaţă, The non-nef locus in positive characteristic
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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.
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There are also three nice videos of lectures by Ugo Bruzzo entitled Algebraic geometry for physicists.
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1$\begingroup$ is any knowledge of physics is required for understanding these lectures? $\endgroup$– johnCommented Apr 1, 2012 at 16:28
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There is a complete course on Basic Algebraic Geometry. It is freely available on NPTEL
Please click the link below:
Basic Algebraic Geometry : Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
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Ravi Vakil's online course AGITTOC 2020 , "Algebraic Topology in the Time of COVID".
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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.