Not signed in (Sign In)

# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Sign in using OpenID

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeSep 21st 2018

added pointer to this new textbook

• Antoine Chambert-Loir, Johannes Nicaise, JulienSebag, Motivic integration, Birkhaeuser 2018

(Somebody should write a paragraph into this entry that gives an actual idea of what motivic integration is about, beyond it being an idea that Kontsevich had.)

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeSep 21st 2018

added this sentences:

What is called motivic integration is an upgrade of p-adic integration to a geometric integration theory obtained by replacing the p-adic integers by a formal power series ring over the complex numbers.

• CommentRowNumber3.
• CommentAuthorAli Caglayan
• CommentTimeSep 21st 2018
• (edited Sep 21st 2018)

p-adic integration is very cool indeed. I seem to remember it helping in counting subgroups of p-groups matching certain criteria. I also seem to remember the ideas lead to computations of invariants of certain moduli spaces that arise in representation theory. But it has been a few years since I looked at them. Glad to see the technique is getting wider use.

proof that I didn’t pull this out of my ass

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeSep 22nd 2018

Yes, we need some experts. I think the topic is broader than the first section suggests, e.g., to include integration over fields $k((t))$, $k$ of characteristic $0$. But I don’t know what the full range might be.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeSep 22nd 2018

I took that sentence from the Introduction of the book. But by all means, somebody please expand on it.

Add your comments
• Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
• To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

• (Help)