Skip to content →

neverendingbooks Posts

noncommutative bookmarks

At
last, some excitement about noncommutative geometry in the blogosphere.

From what I deduce from reading the first posts, Arup Pal set up a new blog
called Noncommutative
Geometry
and subsequently handed it over to Masoud Khalkhali who then
got Alain Connes to post on it who, in turn, is asking people to submit
posts, such as todays post by David Goss.

Somehow, most people refer to the Noncommutative Geometry blog as
“Alain Connes’ blog” (for example Doctor Gero, Not Even
Wrong
, the n-category cafe and
possibly many others).

David Corfield over at the n-category cafe stops
short of suggesting to rename (by analogy) NeverEndingBooks into
Kontsevich’s blog

A new blog Noncommutative Geometry
has begun, which appears to be of the Connesian variety. (Connes himself
has already commented there.) We mentioned a couple of weeks ago that
there are different flavours of noncommutative geometry. The
Kontsevichian variety, nongeometry, finds its blog voice in Lieven Le
Bruyn’s NeverEndingBooks. It would be interesting to see some
interaction.

I don’t think I will opt for a dialectic
response to the Noncommutative Geometry Blog, although I realize this would result
in more enjoyable reading for some of you…

For starters,
I’ve signed up to another flagship of noncommutative
_differential_ geometry : noncommutativegeometry.net, though it is unclear to me what action (if any) is
going on over there.

Further, I plan to move my talks at the master class
noncommutative geometry
to the virtual lecture room of this blog,
hoping to get the desired interaction. We’ll start later this week and
the pace will be pretty easy going. A tentative title might be
“Anabelian versus Noncommutative Geometry”.

Leave a Comment

time for selfcriticism

The
problem with criticizing others is that you have to apply the same
standards to your own work. So, as of this afternoon, I do agree with
all those who said so before : my book is completely unreadable and
should either be dumped or entirely rewritten!

Here’s what happened :
Last week I did receive the contract to publish _noncommutative
geometry@n_ in a reputable series. One tiny point though, the editors
felt that the title was somewhat awkward and would stand out with
respect to the other books in the series, so they proposed as an
alternative title _Noncommutative Geometry_. A tall order, I thought,
but then, if others are publishing books with such a title why
shouldn’t I do the same?

The later chapters are quite general, anyway,
and if I would just spice them up a little adding recent material it
might even improve the book. So, rewriting two chapters and perhaps
adding another “motivational chapter” aimed at physicists… should
be doable in a month, or two at the latest which would fit in nicely
with the date the final manuscript is due.

This week, I got myself once
again in writing mode : painfully drafting new sections at a pace of 5
to 6 pages a day. Everything was going well. Today I wanted to finish
the section on the “one quiver to rule them all”-trick and was
already mentally planning the next section in which I would give details
for groups like $PSL_2(\mathbb{Z}) $ and $GL_2(\mathbb{Z}) $, all I
needed was to type in a version of the proof of the last proposition.

The proof uses a standard argument, which clearly should be in the book
so I had to give the correct reference and started browsing through the
print-out of the latest version (about 600 pages long..) but… _I
could not find it!???_ And, it was not just some minor technical lemma,
but a result which is crucial to the book’s message (for the few who
want to know, the result is the construction and properties of the local
quiver at a semi-simple representation of a Quillen-smooth algebra). Of
course, there is a much more general result contained in the book, but
you have to be me (or have to be drilled by me) to see the connection…
Not good at all! I’d better sleep on this before taking further
steps

Leave a Comment

wednesday bookshelf

The Newtonian
Legacy
is a free online book by Nick Evans. If you want a (somewhat
over-positively) review about it, head here. For me, it just didn’t work but then I’m
an avid consumer of thrillers and like to be surprised. I read though to
page 80 (of 138) which is pretty good as I usually lay down an
unreadable book much sooner (most are lend from the public library, so
I’d rather start a new one as soon as it becomes tiresome). But then I
wanted to ‘learn about the frontier of particle physics within a fast
paced crime adventure’. One exchange is pretty telling though (p.
40-41)

“Rule is don”t get involved in popularising
science.” “That”s a bit harsh. We have to tell people what we”re doing
if we want them to fund us,” said Carl. “Yeah, but it”s all lies. The
theories are all mathematics, yet we say all words. That”s why we get
these nut cases writing to us sometimes with “new theoriesiÃÇ. They”ve
just read a popular science book and mistaken it for the core of
science. They change some words and think they have a new theory. They
don”t understand that you have to get the numbers right for every
experiment you can think of. It”s just misleading.” “Well, OK,”conceded
Carl, “but you can make the point that you”re just reporting a
simplification and that if people want the real thing, they”d need
maths.”Everyone sought inspiration in their pints again.

So, that’s why it is impossible to write about mathematics for a
general public! Anyway, a bit frustrated I went to my favorite bookshops
and read a blurb which sounded all too familiar.

Oxford, 2006: a young woman is found brutally
murdered, her throat cut. Her heart has been removed and in its place
lies an apparently ancient gold coin. Twenty-four hours later, another
woman is found. The MO is identical, except that this time her brain has
been removed, and a silver coin lies glittering in the bowl of her
skull. The police are baffled but when police photographer, Philip
Bainbridge and his estranged lover, Laura Niven become involved, they
discover that these horrific, ritualistic murders are not confined to
the here and now. And a shocking story begins to emerge which
intertwines Sir Isaac Newton, one of seventeenth-century England’s most
powerful figures, with a deadly conspiracy which echoes down the years
to the present day, as lethal now as it was then. Before long those
closest to Laura are in danger, and she finds herself the one person who
can rewrite history; the only person who can stop the killer from
striking again…

The first half of the
book
is rather promising (and at least its well written).
Mathematics even makes a short appearance as daugther Jo is studying
maths. Not that she contributes much of her talent to the story (apart
from contributing to solving one riddle) and in the end it seems to be
much more important to date the right boyfriend than to do math! The
book really becomes laughable when the couple is trapped in a maze 100
feat below the Bodleian library. Pure Indiana Jones-remake : expecting
pitfalls? here they come! what else do we remember of the movie?
arrow-traps! sure enough they appear. Oh, this must be that movie, so
whats next? well, sure enough (p. 343 “A massive block of stone crashed
down from the lintel of the archway, landing squarely with a thump on
the dusty floor. They were sealed in.” Presumably the authors
inspiration dried out!

Mind you, I do not want to be negative on
principle. Sometimes (too rare) I do read an enjoyable, interesting,
intelligent thriller. The last one Ive read was

Brother Grimm by Craig Russell is a must read if you are into
serial-killer stories. Heres the synopsis

A girl’s
body lies, posed, on the pale sand of a Hamburg beach, a message
concealed in her hand. ‘I have been underground, and now it is
time for me to return home…’ Jan Fabel, of the Hamburg murder
squad, struggles to interpret the twisted imagery of a dark and brutal
mind. Four days later, a man and a woman are found deep in woodland,
their throats slashed deep and wide, the names ‘Hansel’ and
‘Gretel’, in the same, tiny, obsessively neat writing, rolled
tight and pressed into their hands. As it becomes clear that each new
crime is a grisly reference to folk stories collected almost two hundred
years ago by the Brothers Grimm, the hunt is on for a serial killer who
is exploring our darkest, most fundamental fears – a predator who kills
and then disappears into the shadows. He is a monster we all learned to
fear in childhood.

An original point of view, an
unorthodox setting (Hamburg!), interesting and real life personages what
more do you want? Oh, you want to learn something from reading a
bestseller? To me, this book was an eye-opener. Ever wondered why all
these serial-killer-books become bestsellers? Here’s the answer (p.
227)

<

p>”Weiss toke a novel from the bookshell before him!! ‘Today
we continuously reinvent these tales. The same stories, new characters.
This is a bestseller – a story about the hunt for a serial killer who
ritually dismembers his victims. These are our fairy tales
today. These are our fables, our Maerchen. Instead of elves and kobolts
and hungry wolves lurking in the dark corners of the woods, we have
cannibals and dissectors and abductors lurking in the dark corners of
our cities.
It is in our nature to guise our evil as something
extraordinary or something different: books and films about aliens,
sharks, vampires, ghosts, witches. The fact of the matter is that there
is one beast that is more dangerous, more predatory, tan any other in
the history of nature. Us.”

Leave a Comment