Video lectures for algebraic geometry

Question

Are there any good video lectures for studying algebraic geometry?

Related: http://mathoverflow.net/questions/54430/video-lectures-of-mathematics-courses-available-online-for-free At least one answer also links to a algebraic geometry lecture. — Martin Brandenburg, Oct 13 '11 at 17:45
Great question! I would love to know as many answers as possible to it — aglearner, Oct 13 '11 at 21:29
@Martin: Quite right. I came here to post the link to Miles Reid's lectures http://www.warwick.ac.uk/staff/Miles.Reid/AGvid.html but I see it's already there. — Mark Grant, Oct 14 '11 at 06:51
this might be good http://www.newton.ac.uk/programmes/MOS/seminars/index.html — Lei, Oct 14 '11 at 15:58
I am not able too see the videos of Reid from the website. Any help — Babai, Nov 03 '14 at 11:55
does anyone know how to download Miles Reid Video lectures from vod.mathnet? no mms downloader seems to work for me. Any successful attempts? — Anonymous, Mar 09 '12 at 08:34
You can use mplayer with the option -dumpstream. Here is an example to download one of the videos linked here: mplayer -dumpstream http://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 08 '12 at 12:34
@TZE, I've done that but what I get is a file with wmv extenstion that give a live stream . I did not get a link to download it. — FNH, Jun 03 '17 at 14:26
For Real Algebraic Geometry: https://www.youtube.com/watch?v=eSGoR6RPC58&list=PLbQ93L5pV-a_RRwdEgGungHn5rN43BGe7 Accompanying lecture notes available in arXiv: https://arxiv.org/pdf/2205.04211.pdf — Tadashi, May 10 '22 at 09:30

Leandro Vendramin · Answer 1 · 2018-05-22T16:10:52.367

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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.

edited May 22 '18 at 16:10

answered Dec 31 '11 at 16:01

Leandro Vendramin

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

score 16 · Answer 2 · answered Oct 13 '11 at 18:15

16

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.

answered Oct 13 '11 at 18:15

Julien Puydt

2,013

score 12 · Answer 3 · answered Oct 16 '11 at 08:33

12

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

answered Oct 16 '11 at 08:33

Unknown

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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
1

@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 06:25
@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 06:40
2

What is the depth? Hartshorne? Did anyone try these lectures? – Jesse Solomon Scott Oct 01 '15 at 07:15

score 12 · Answer 4 · answered Feb 01 '12 at 12:26

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

Colóquio Brasileiro de Matemática:

IMPA 50 Anos:

Abel's theorem in its classical, modern and post-modern forms, Phillip Griffiths

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

The IMPA links are broken. – Ben McKay May 09 '23 at 16:32 — Ben McKay, May 09 '23 at 16:32

score 9 · Answer 5 · answered Dec 17 '20 at 18:41

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.

score 8 · Answer 6 · edited Sep 11 '17 at 08:46

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 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).

score 8 · Answer 7 · edited May 22 '18 at 17:16

8

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

edited May 22 '18 at 17:16

j.c.

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answered Oct 16 '11 at 23:22

Dmitri Panov

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score 6 · Answer 8 · answered Feb 11 '12 at 16:11

The conference Algebraic Geometry Northeastern Series (AGNES), Stony Brook 2011.

These videos are included:

score 4 · Answer 9 · answered Sep 10 '17 at 08:16

4

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

answered Sep 10 '17 at 08:16

Tensor_Product

561

Ehsan M. Kermani · Answer 10 · 2012-02-11T18:57:54.687

4

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.

edited Feb 11 '12 at 18:57

answered Feb 11 '12 at 18:29

Ehsan M. Kermani

1,651

score 4 · Answer 11 · answered Mar 09 '12 at 08:44

4

There are also three nice videos of lectures by Ugo Bruzzo entitled Algebraic geometry for physicists.

answered Mar 09 '12 at 08:44

mathphysicist

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is any knowledge of physics is required for understanding these lectures? – john Apr 01 '12 at 16:28

score 2 · Answer 12 · answered Jan 26 '21 at 01:12

2

Ravi Vakil's online course AGITTOC 2020 , "Algebraic Topology in the Time of COVID".

https://www.youtube.com/watch?v=WTEZjR5aNjw

answered Jan 26 '21 at 01:12

Tom Copeland

9,937

score 0 · Answer 13 · answered Feb 03 '21 at 07:47

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.

Video lectures for algebraic geometry

13 Answers13