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Cam's Blog | Topics in the neighbourhood of mathematics, literature and other miscellany.

Topics in the neighbourhood of mathematics, literature and other miscellany.

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Cam's Blog | Topics in the neighbourhood of mathematics, literature and other miscellany. | cfranc.wordpress.com Reviews

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Topics in the neighbourhood of mathematics, literature and other miscellany.

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January | 2011 | Cam's Blog

https://cfranc.wordpress.com/2011/01

January 29, 2011. The magistrate’s falconer’s guano sweeper. 8212; cfranc @ 5:50 pm. I got around to starting The Thousand Autumns of Jacob de Zoet. This week. The link points to Amazon and not a review because (a) it’s a great book thus far and I recommend it, and (b) I wouldn’t wish to spoil any of the plot with an overly informative review. Instead I’ll pique your interest with a quotation that made me chuckle out loud on the bus:. 8220;I am sick,” Vorstenbosch complains to heaven, “. January 28, 2011.

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Include, input and relative paths in latex | Cam's Blog

https://cfranc.wordpress.com/2009/12/01/include-input-and-relative-paths-in-latex

December 1, 2009. Include, input and relative paths in latex. 8212; cfranc @ 8:47 pm. I just spent about a half hour puzzling over a latex error, so I thought it’d be a good idea to write about it. It may some day save someone prone to make the same stupid errors as me. Want included. For instance, if you’re in the midst of writing a book, you may want to print a single chapter, say. Executed. The numbering would get screwed up if all you did was momentarily comment out unwanted inclusions. Each subfolde...

3

Carbon dioxide purging and weightlifting | Cam's Blog

https://cfranc.wordpress.com/2010/01/30/carbon-dioxide-purging-and-weightlifting

January 30, 2010. Carbon dioxide purging and weightlifting. 8212; cfranc @ 2:25 pm. A couple weeks ago I stumbled across a clip of David Blaine giving a talk. At a TED (technology, entertainment and design) conference. In the clip he describes his attempts to hold his breath for extremely long periods of time. The gist of the talk is that, rather than create an illusion, he eventually discovered free-diving. The effects of hyperventilation on the body as reducing. The carbon dioxide concentration of the ...

4

August | 2011 | Cam's Blog

https://cfranc.wordpress.com/2011/08

August 26, 2011. 8212; cfranc @ 1:25 pm. In view of my move to UCSC, I’ve got a new academic webpage which you can find here. I spent some time learning PHP while making it, and I’m pretty happy with the result. Hyperref and indexing in latex. Confusing the unprecedented with the improbable. The medical school has resigned. It’s two years old, but that won’t stop me from linking to it. Two days later, still shocked. Include, input and relative paths in latex. Carbon dioxide purging and weightlifting.

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Cam's Blog | Topics in the neighbourhood of mathematics, literature and other miscellany. | Page 2

https://cfranc.wordpress.com/page/2

June 24, 2011. Confusing the unprecedented with the improbable. 8212; cfranc @ 11:17 am. Here’s a nice piece. By Al Gore in Rolling Stone. On climate change. It’s long but worth the read, in particular for a list of ways that you can personally get engaged with the issues and help to make a difference (at the bottom of the article). The title of this post is taken from the following excerpt:. And I’ll just put this right here:. June 17, 2011. The medical school has resigned. 8212; cfranc @ 2:07 pm. On In...

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The Bruhat-Tits building of PGL(n+1) | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/05/the-bruhat-tits-building-of-pgln1-2

Making our way up some buildings. The Bruhat-Tits building of PGL(n 1). On June 5, 2011. We will be following [dS] for a while. Let’s fix some notation: take. A finite extension of. With a choice of uniformizer. Denote the size of. And normalize the norm on. For that matter) so that. Fix also a vector space. The goal of this post is to define. The Bruhat-Tits (BT) building of G. For now we will just define it as a combinatorial object, namely a simplicial complex. First we define its set of vertices.

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p-adic Orlik-Solomon algebras | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/21/p-adic-orlik-solomon-algebras

Making our way up some buildings. On June 21, 2011. In this blog post I’m going to finish up discussing the classical Orlik-Solomon algebra and then move on to discuss section 2.1 of de Shalit. Note that I’ve made the title of this post up on a whim, and I have no idea if it’s at all close to standard terminology. 1 The Orlik-Solomon algebra. Be a finite dimensional complex vector space. Let. Denote a hyperplane arrangement. Denote an element in the dual space of. Denote the hyperplane arrangment in.

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The Bruhat-Tits building of PGL(n+1) (II) | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/08/the-bruhat-tits-building-of-pgln1-ii-2

Making our way up some buildings. The Bruhat-Tits building of PGL(n 1) (II). On June 8, 2011. As promised in the previous post, we will start this one with distances on the BT building. Are two vertices, then one can find bases of. Adapted to them: that is, so that. Is represented by the standard. Is represented by some sublattice of the form. This is just an application of the elementary divisors theorem. The. One can check that this is well defined. One extends this function to all simplices: if. The t...

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The Bruhat-Tits tree | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/09/the-bruhat-tits-tree

Making our way up some buildings. On June 9, 2011. In this post I’ll specialize Marc’s discussion to the building of. It turns out that the building. Is an infinite tree in this case. Recall that the vertices of. Taken up to rescaling. If. Is a lattice, then we’ll write. For the homothety class of. Two vertices bound a. If and only if there are representative lattices. For the corresponding homothety classes such that. Note that this is actually a symmetric relation: for. Is a lattice in. Is a basis for.

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Hyperplane arrangements | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/16/hyperplane-arrangements

Making our way up some buildings. On June 16, 2011. Be a finite extension of. We are on our way towards understanding the cohomology of Drinfeld’s. Adic symmetric domain of dimension. And its connection with the building of. Recall that Drinfeld’s domain is. Rational hyperplanes removed. When. These spaces are a little mysterious to me, so a more modest goal for these posts is simply to get a concrete feeling for what these higher domains look like. When. Residues on buildings, etc. And in the computatio...

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The name of the game | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/05/the-name-of-the-game

Making our way up some buildings. The name of the game. On June 5, 2011. The first goal of this blog is to understand the paper “Residues on buildings, and de Rham cohomology of. Adic symmetric domains”. Of Ehud de Shalit. C and i have been playing around trees for a while now, and decided that if a computer can deal with trees, then it should also be able to deal with buildings in general. This would already show some new features and give us some. And what is more general. For now. These are some c...

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An announcement | Non-archimedean Real Estate

https://padiclife.wordpress.com/2011/06/15/an-announcement

Making our way up some buildings. On June 15, 2011. The first release of our code for computing with arithmetic quotients of the Bruhat-Tits of. We hope that it will make it into Sage. Some day, but for now it is available on a private space in Assembla. If you want to try it out, here is what you should do:. Download the source of Sage from their webpage, and compile it (it will take a couple hours). Get our code from assembla: hg clone https:/ hg.assembla.com/btquotients. Don’t forget the comma! If you...

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Cam's Blog | Topics in the neighbourhood of mathematics, literature and other miscellany.

March 13, 2012. Hyperref and indexing in latex. 8212; cfranc @ 10:59 pm. I’m writing a short post so that I don’t forget how to make indices and hyperrefs play well in latex. You need to put makeindex in the preamble and printindex in the body where you want the index to appear. For the index to appear you’ve first got to compile the latex file to write a data .idx file containing the index data. Then go to a console and run makeindex. Go delete the auxiliary data files needed to generate the index. ...

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