Blogs about: Characteristic P
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Fun with y^2=x^p-x
Here’s a basic example that comes up if you work with elliptic curves: Let be a prime which is . Let be the elliptic curve over a field of characteristic . Then has an endomorphism . It turns ou… more →
Secret Blogging Seminar
Fun with y^2=x^p-x
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wrote 1 year ago: 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
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wrote 1 year ago: 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
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wrote 3 years ago: The aim of this post is to outline a strategy for proving the Weil conjectures, proposed by Grothend … more →
The Weil conjectures : Curves
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wrote 3 years ago: Our goal for today is to prove the following theorem: Theorem 1: Let be a projective algebraic curve … more →
Characteristic zero analogues of the Weil conjectures: higher dimension
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wrote 3 years ago: 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
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wrote 3 years ago: The quest to prove the Weil conjectures drove algebraic geometry throughout the middle of the twenti … more →
Christol's theorem and the Cartier operator
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wrote 3 years ago: 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
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wrote 4 years ago: In the comments to my previous post, John Mangual raised a number of questions about the relationshi … more →
More F_un
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wrote 4 years ago: Incidentally, I hope you’ve all been reading F_un mathematics. Even if you aren’t all th … more →
Uniform Position in Characteristic p
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wrote 5 years ago: Let be an irreducible degree curve in . Some hyperplanes will be tangent to , or pass through singul … more →
Representations of reductive groups in characteristic p
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wrote 5 years ago: I’ve been at a couple of interesting conferences lately and so I have a lot to talk about. I … more →
The Cheewhye Diagram
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wrote 5 years ago: About five years ago, Cheewhye Chin gave a great year-long seminar on Langlands correspondence for o … more →
Topology in prime characteristic
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wrote 5 years ago: This semester in Berkeley, we have been running a learning seminar on Weil conjecture and perverse s … more →
Small finite sets
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wrote 5 years ago: Serre has been giving a series of lectures at Harvard for the last month, on finite groups in number … more →
Berkovich spaces I
wrote 5 years ago: Around 1990, Berkovich discovered a rather elegant refinement of the notion of scheme that is partic … more →
Frobenius splitting
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wrote 5 years ago: After Ben’s post on “terrible” algebraic varieties, I would like to write about so … more →
