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Hard Arithmetic

Some motivation for p-adic Hodge theory. These are some notes that I wrote for a learning course at Berkeley–the goal being to understand the statement of the global Langlands conjecture. The goal of the talk (that these notes were written for) was, specifically, to motivate. Adic Hodge theory with an eye, in particular, towards where it might be useful in understanding the statement of Langlands. Posted in Algebraic Geometry. And tagged Compatible system. P-adic Hodge theory motivation. November 2, 2016.

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Hard Arithmetic | ayoucis.wordpress.com Reviews

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Some motivation for p-adic Hodge theory. These are some notes that I wrote for a learning course at Berkeley–the goal being to understand the statement of the global Langlands conjecture. The goal of the talk (that these notes were written for) was, specifically, to motivate. Adic Hodge theory with an eye, in particular, towards where it might be useful in understanding the statement of Langlands. Posted in Algebraic Geometry. And tagged Compatible system. P-adic Hodge theory motivation. November 2, 2016.

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3 about this blog

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6 notes

7 etale cohomology

8 galois representations

9 number theory

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Hard Arithmetic | ayoucis.wordpress.com Reviews

https://ayoucis.wordpress.com

Some motivation for p-adic Hodge theory. These are some notes that I wrote for a learning course at Berkeley–the goal being to understand the statement of the global Langlands conjecture. The goal of the talk (that these notes were written for) was, specifically, to motivate. Adic Hodge theory with an eye, in particular, towards where it might be useful in understanding the statement of Langlands. Posted in Algebraic Geometry. And tagged Compatible system. P-adic Hodge theory motivation. November 2, 2016.

INTERNAL PAGES

ayoucis.wordpress.com

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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...

2

Some notes on automorphic representations | Hard Arithmetic

https://ayoucis.wordpress.com/2016/10/11/some-notes-on-automorphic-representations

Some notes on automorphic representations. I was asked to give a series of talks in an `automorphic representations’ learning seminar at Berkeley. Specifically, I was asked to talk about the local representation theory of. And aspects of the global representation theory of. These are ongoing but I thought I’d post my notes for the first two talks. The first is on the representation theory of. And the second is on the representation theory of. With a focus on the relationship to modular forms.

3

Archive by type | Hard Arithmetic

https://ayoucis.wordpress.com/archive-by-type

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.

4

Some motivation for p-adic Hodge theory | Hard Arithmetic

https://ayoucis.wordpress.com/2016/11/02/some-motivation-for-p-adic-hodge-theory

Some motivation for p-adic Hodge theory. These are some notes that I wrote for a learning course at Berkeley–the goal being to understand the statement of the global Langlands conjecture. The goal of the talk (that these notes were written for) was, specifically, to motivate. Adic Hodge theory with an eye, in particular, towards where it might be useful in understanding the statement of Langlands. Posted in Algebraic Geometry. And tagged Compatible system. P-adic Hodge theory motivation. November 2, 2016.

5

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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phacopsrana.wordpress.com

Navigating the Various Galois Representations in Local Langlands – Phacopsrana

https://phacopsrana.wordpress.com/2016/07/17/navigating-the-various-galois-representations-in-local-langlands

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. July 17, 2016. Navigating the Various Galois Representations in Local Langlands. Adic representa...

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 4 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/22/p-divisible-groups-mini-course-talk-4

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 22, 2016. April 22, 2016. P-Divisible Groups Mini Course: Talk 4. Be the residue field of.

phacopsrana.wordpress.com

July 2016 – Phacopsrana

https://phacopsrana.wordpress.com/2016/07

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Navigating the Various Galois Representations in Local Langlands. The Weil-Deligne group of.

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 4 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/22/p-divisible-groups-mini-course-talk-4/comment-page-1

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 22, 2016. April 22, 2016. P-Divisible Groups Mini Course: Talk 4. Be the residue field of.

phacopsrana.wordpress.com

August 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/08

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Continue reading “Isogenies”. August 18, 2015. April 2, 2016. Continue reading “First Post!

phacopsrana.wordpress.com

September 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/09

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Galois Theory and Geometry. Continue reading “Galois Theory and Geometry”. September 18, 2015.

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 3 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/15/p-divisible-groups-mini-course-talk-3

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 15, 2016. April 15, 2016. P-Divisible Groups Mini Course: Talk 3. So that the functor.

phacopsrana.wordpress.com

November 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/11

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Open Subschemes of a Proper Scheme are not Proper. Of a connected, compact set. November 23, 2015.

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 1 – Phacopsrana

https://phacopsrana.wordpress.com/2016/03/31/p-divisible-groups-mini-course-talk-1

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. March 31, 2016. April 6, 2016. P-Divisible Groups Mini Course: Talk 1. And a prime number. The m...

phacopsrana.wordpress.com

phacopsrana – Phacopsrana

https://phacopsrana.wordpress.com/author/phacopsrana

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Navigating the Various Galois Representations in Local Langlands. The Weil-Deligne group of.

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Hard Arithmetic

Some motivation for p-adic Hodge theory. These are some notes that I wrote for a learning course at Berkeley–the goal being to understand the statement of the global Langlands conjecture. The goal of the talk (that these notes were written for) was, specifically, to motivate. Adic Hodge theory with an eye, in particular, towards where it might be useful in understanding the statement of Langlands. Posted in Algebraic Geometry. And tagged Compatible system. P-adic Hodge theory motivation. November 2, 2016.

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