containing a large and growing collection of lecture
notes, with a strong emphasis on geometric Langlands topics. In particular
this collection includes (close
to) complete notes from Geometric Langlands conferences in
Vienna (2007), Luminy (2006), and Berkeley (2003).
In Episode 11 of Season 4 of Fox's
"24", we find Drinfeld modules, the central construction in the
solution of the Langlands program over function fields (by Drinfeld
for GL2 and Lafforgue for GLn), in use by the
Counter Terrorist Unit, spearheaded by Kiefer Sutherland's character
Jack Bauer. One of the terrorists explains to his boss about CTU
foiling their efforts: "Using a Drinfeld module they've already shut
down over 90 reactors" (see a blog review).
Interestingly, an online transcript of the show
differs from the script and subtitles, and mentions instead a
"dreen-filled mode tool" (see an
unofficial transcript). Disclaimer: To the extent of my knowledge,
the relevance of Drinfeld modules to national security is an original
contribution of "24".
David Goss kindly provided
the backstory for this mysterious appearance of Drinfeld modules:
"I grew up in the Detroit area with a number of great people who have
gone on to great things; some of them in showbiz. My dear friend Michael
Loceff is one such. He and I studied math together at Michigan.
After a few years Michael lost interest in his studies and
went on to other things. He teaches computer science over the web at
college using software he wrote. Michael's cousin is Joel Surnow and
Michael started to write with Joel on "La femme Nikita" and now
Michael is an executive producer and write for 24. So you can imagine
where the mention of Drinfeld modules arose! ... Finally,
Michael likes to use names of people he grew up with
in the show. In one episode at the beginning of season 2 or 3 (I never saw
it) there is a dead drug dealer named "David Goss" and Jack Bauer goes
around asking people if they knew this drug dealer.... One has to have a
sense of humor."
Assorted introductions and surveys on related topics:
-Alexandre Stefanov maintains an excellent collection of links to online textbooks in math, see
-Igor Dolgachev's lecture notes page has excellent courses on physics
and string theory, invariant theory, and algebraic geometry.
-Franz Lemmermeyer's lecture
notes page and course notes
page host a large collection of links to courses and notes, mainly
related to algebraic geometry and number theory.
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