## Blogs about: Characteristic P

#### Fun with y^2=x^p-x — 3 comments

: Here’s a basic example that comes up if you work with elliptic curves: Let be a prime which is … more →

#### Rationality of the zeta function mod p — 5 comments

: Here’s a neat argument about counting points that you could present at the end of a second cou … more →

#### The Weil Conjectures: The approach via the Standard Conjectures — 7 comments

: The aim of this post is to outline a strategy for proving the Weil conjectures, proposed by Grothend … more →

#### The Weil conjectures : Curves — 2 comments

: Our goal for today is to prove the following theorem: Theorem 1: Let be a projective algebraic curve … more →

Tags: Algebraic Geometry

#### Characteristic zero analogues of the Weil conjectures: higher dimension — 11 comments

: In our previous post, we proved Theorem Let be a smooth projective curve over and an endomorphism of … more →

#### Characteristic zero analogues of the Weil conjectures: Curves — 8 comments

: The quest to prove the Weil conjectures drove algebraic geometry throughout the middle of the twenti … more →

#### Christol's theorem and the Cartier operator — 3 comments

: Let’s suppose that we want to compute , and we have already been given written out in base as … more →

#### Matthew Emerton is smart and helpful — 4 comments

: In the comments to my previous post, John Mangual raised a number of questions about the relationshi … more →

Tags: Algebraic Geometry

#### More F_un — 9 comments

: Incidentally, I hope you’ve all been reading F_un mathematics. Even if you aren’t all th … more →

#### Uniform Position in Characteristic p — 1 comment

: Let be an irreducible degree curve in . Some hyperplanes will be tangent to , or pass through singul … more →

Tags: Algebraic Geometry

#### Representations of reductive groups in characteristic p — 20 comments

: I’ve been at a couple of interesting conferences lately and so I have a lot to talk about. I … more →

#### The Cheewhye Diagram — 19 comments

: About five years ago, Cheewhye Chin gave a great year-long seminar on Langlands correspondence for o … more →

#### Topology in prime characteristic — 17 comments

: This semester in Berkeley, we have been running a learning seminar on Weil conjecture and perverse s … more →

Tags: Algebraic Geometry

#### Small finite sets — 13 comments

: Serre has been giving a series of lectures at Harvard for the last month, on finite groups in number … more →

#### Berkovich spaces I

: Around 1990, Berkovich discovered a rather elegant refinement of the notion of scheme that is partic … more →

#### Frobenius splitting — 11 comments

: After Ben’s post on “terrible” algebraic varieties, I would like to write about so … more →

Tags: Talks, Algebraic Geometry

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