Blogs about: P Adic Numbers
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Finally, Witt Vectors
Now, let us try to do arithmetic operations on -adic numbers written in terms of Teichmüller representatives. Suppose and In other words, and ditto for Then So, if we define polynomials in and then On… more →
Elliptic Curves
A talk on the p-adic numbers
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Akhil Mathew wrote 2 months ago: The start of the academic year has made it much more difficult for me to get in serious posts as of … more →
Completions of fields
Akhil Mathew wrote 3 months ago: So again, we’re back to completions, though we’re going to go through it quickly. Except … more →
Finally, Witt Vectors
ellipticcurves wrote 6 months ago: Now, let us try to do arithmetic operations on -adic numbers written in terms of Teichmüller represe … more →
More on Teichmüller Representatives
ellipticcurves wrote 6 months ago: As I mentioned before, Teichmüller’s great insight was that one might have better luck if usin … more →
Motivation for Witt Vectors
ellipticcurves wrote 6 months ago: If we write two -adic integers and as -series in integers and then multiply them together to get it … more →
Teichmüller Representatives
ellipticcurves wrote 10 months ago: Let us solve a particular equation in -adic numbers: Notice that since this equation has precisely d … more →
A 10-adic number that is a zero divisor
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Dave Richeson wrote 11 months ago: A few weeks ago I wrote about p-adic numbers. I mentioned that if p is not prime, then the p-adic nu … more →
Topological construction of p-adic integers
ellipticcurves wrote 11 months ago: One of the interesting things to observe is what multiplication by does to -adic integers: But what … more →
The ring of p-adic integers
ellipticcurves wrote 11 months ago: In what way can we impose operations of addition, subtraction, and multiplication on the set of -adi … more →
Introduction to p-adic integers
ellipticcurves wrote 11 months ago: I feel like taking a break from elliptic curves and talking about something completely different. Fo … more →
What are p-adic numbers?
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Dave Richeson wrote 1 year ago: I am not a number theorist, but I’ve always had a distant fascination with p-adic numbers. I h … more →
Minimal decomposition of affine polynomial systems on quadratic extension of \mathbb{Q}_p
waterjiu wrote 1 year ago: By developing the idea of Desjardins et Zieve (http://arxiv.org/abs/math/0103046), it seems that we … more →
