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Are there any good video lectures for studying Algebraic geometry ?

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Related: mathoverflow.net/questions/54430/… At least one answer also links to a algebraic geometry lecture. –  Martin Brandenburg Oct 13 '11 at 17:45
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1) What flavor of algebraic geometry? 2) How much depth do you need? –  Thierry Zell Oct 13 '11 at 18:11
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Great question! I would love to know as many answers as possible to it –  aglearner Oct 13 '11 at 21:29
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@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. –  Mark Grant Oct 14 '11 at 6:51
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this might be good newton.ac.uk/programmes/MOS/seminars/index.html –  Lei Oct 14 '11 at 15:58

11 Answers 11

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.

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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. –  Gunnar Magnusson Dec 31 '11 at 22:30
    
Harris' lectures are really great indeed... –  aglearner Apr 25 '12 at 14:01

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

2009/10 Algebraic Geometry Course in Mathematics

2010/11 Algebraic Geometry Course in Mathematics

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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) –  aglearner Oct 16 '11 at 20:24
    
@aglearner: A high-res zoom can be seen on the right of the low-res video. It is updated every few seconds. –  Martin Brandenburg Oct 17 '11 at 6:25
    
@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. –  Unknown Oct 18 '11 at 6:40

The following lectures by Caucher Birkar provide a great introduction to birational geometry and its most recent developments:

http://www.sciencesmath-paris.fr/index.php?page=118&lien=22&lang=en

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This post is to link some videos from IMPA, Brazil.

Colóquio Brasileiro de Matemática:

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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If you understand Russian, then you can listen to lectures of Orlov and Kuznetsov that are given here:

http://erb-files.narod.ru/

Orlov is giving lectures on Hartschorn'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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David Ben-Zvi’s lectures on representation theory and topological field theory:

http://online.kitp.ucsb.edu/online/langlands_m08/. On the same line see the seminar lectures by John Baez and James Dolan http://math.ucr.edu/home/baez/qg-fall2007/

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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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is any knowledge of physics is required for understanding these lectures? –  john Apr 1 '12 at 16:28

does anyone know how to download Miles Reid Video lectures from vod.mathnet? no mms downloader seems to work for me. Any successful attempts?

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You can use mplayer with the option -dumpstream. Here is an example to download one of the videos linked here: mplayer -dumpstream strato.impa.br/videos/27_CBM/27CBM_300709_03.avi (mplayer will save the video in the file stream.dump). –  Leandro Vendramin Mar 18 '12 at 21:44
    
@Anonymous, open the .asx file with wordpad and locate a .wmv url. Then download this file with your favourite download manager if it doesn't time out. –  TZE Apr 8 '12 at 12:34

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