And with one final email that I sent off seconds ago, I am now completely finished with my career as an undergraduate.

Yesterday I asked Agboola for some recommendations of papers to read in preparation for AIM’s workshop on the Tate Conjecture. He recommended two papers of Ramakrishnan; I started reading one of them (“Regulators, Algebraic Cycles, and Values of $L$-functions” in Algebraic $K$-Theory and Algebraic Number Theory,…), and it’s completely terrifying! Yesterday I got through the first section without too much trouble, but then in the second section he immediately started discussing group homology/cohomology and $K$-theory. So this morning I taught myself enough about group homology to understand four lines of the second section. (That amounted to convincing myself that $H_1(GL_n(\mathfrak{o}_F),\mathbb{Z})\cong\mathfrak{o}_F^\times$.) After that it appears hopeless, at least for the remainder of section 2. Then I tried section 3. I fared somewhat better, making it through nearly a page, but I really need to learn more about Artin $L$-functions. But that should be easier than this continuous cohomology and $K$-groups in section 2. The other sections seem far, far above my head, and I don’t know where to start on them. I really want to understand something at the workshop though. But at the moment, I can’t even understand the statement of the conjecture.


About Simon

Hi. I'm Simon Rubinstein-Salzedo. I'm a mathematics postdoc at Dartmouth College. I'm also a musician; I play piano and cello, and I also sometimes compose music and study musicology. I also like to play chess and write calligraphy. This blog is a catalogue of some of my thoughts. I write them down so that I understand them better. But sometimes other people find them interesting as well, so I happily share them with my small corner of the world.
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2 Responses to

  1. comeand_go says:


  2. comeand_go says:

    also about 65.7% of this post made no sense at all to me

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