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Archive by type | Hard Arithmetic
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Below are the posts on this blogged sorted into their natural types. A computation a day. These posts are largely focused around just computing things, with little focus on background or intuition (outside of any very relevant to the problem). A Computation a Day: Compactly Supported Cohomology. A Computation a Day: the Brauer Group of a Number Ring. A Computation a Day: a Pullback Pushforward. A Computation a Day: a (Harder) Pullback Pushforward. Weird Example: Pullback of Noetherian is Not Noetherian.
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A computation a day: a (harder) pullback pushforward | Hard Arithmetic
https://ayoucis.wordpress.com/2016/09/27/a-computation-a-day-a-harder-pullback-pushforward
A computation a day: a (harder) pullback pushforward. We discuss the computation of. Are the obvious maps. A curious case of reverse engineering. Inspired mostly by the computation performed here. I wanted to see what. Looked like when embedding punctured. Why this is interesting to me is that the computations that Method 1 and Method 2 result in are (again, only for me) undoable. Then we can understand. As a direct limit of cohomology groups:. Travels over neighborhoods of. Are open balls around. Is the...
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alexyoucis | Hard Arithmetic
https://ayoucis.wordpress.com/author/alexyoucis
The Fontaine-Winterberger theorem: going full tilt. This is the first in a series of posts whose goal is quite ambitious. Namely, we will attempt to give an intuitive explanation of why the recent push of several prominent mathematicians (Fargues, Scholze, etc.) to ‘geometrize’ the ‘arithmetic’ local Langlands program is intuitively feasible (at least, why it seems intuitive to me! And, more to the point, to understand some of the major objects/ideas necessary to discuss it. Posted in Algebraic Geometry.
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Some notes on local/global Galois groups | Hard Arithmetic
https://ayoucis.wordpress.com/2016/09/19/some-notes-on-localglobal-galois-groups
Some notes on local/global Galois groups. While I’m posting things. Here are some notes that I wrote for a Galois representations learning seminar. I was tasked with giving the first talk about local fields, global fields, their Galois groups, and their connection. Trying to establish, via multiple analogies, a ‘geometric understanding’ of what. Is measuring with regards to. 8211;how it is studying the ‘local arithmetico-geometric data of a (punctured). Is the wild ramification group. I proof read these ...
randomku.wordpress.com
Latex2wordpress | under the sun
https://randomku.wordpress.com/2011/04/26/hello-world
Time and chance happen to them all. Posted on April 26, 2011. I was looking for the method that people use to write their beautiful math equations on their blogs. I found this program called LaTeX2WP (written in Python), which converts Latex file to HTML that is ready to be cut and pasted into WordPress editor. Thanks to its creator Luca Trevisan. For those who are puzzled as much as I was, I hope the following steps can be useful. 1) Download Python 2.7.1. And install it on C: . 5) Note that example....
drexel28.wordpress.com
Alex Youcis « Abstract Nonsense
https://drexel28.wordpress.com/author/drexel28
Crushing one theorem at a time. How to Interpret “References”. Hey everyone. It’s been a fair bit of time since I last posted here. Since then, a lot of things have happened. Most relevant for this blog, I graduated UMD and started attending the University of California, Berkeley. I recently decided that I wanted to start blogging again. Instead of posting on Abstract Nonsense again, I thought I would start a new blog: Hard Arithmetic. If you are interested, you should come and take a look. March 12, 2014.
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2012 October 07 « Abstract Nonsense
https://drexel28.wordpress.com/2012/10/07
Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on the Riemann Sphere (Pt. II). This is a continuation of this post. Continue reading →. October 7, 2012. Posted by Alex Youcis. Meromorphic Functions on the Riemann Sphere (Pt. I). In this post we classify the meromorphic functions on the Riemann sphere. If a random kid off the street asked you “what are the continuous functions. 8221; or “what are all the smooth maps. 8221;) is beyond comprehension in those cases!
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Meromorphic Functions on the Riemann Sphere (Pt. II) « Abstract Nonsense
https://drexel28.wordpress.com/2012/10/07/meromorphic-functions-on-the-riemann-sphere-pt-ii
Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on the Riemann Sphere (Pt. II). This is a continuation of this post. Now, I want to use this nice characterization of. To make an interesting observation. In particular, take. Ok, now by definition if. Is not a zero or a pole of. And by almost definition we see that. Thus, the only point left to check is. Now, we merely check that with the standard chart. Now, it’s evident then that. Has a singuliarity of order. New York...