NTS ABSTRACT: Difference between revisions
No edit summary |
No edit summary |
||
Line 29: | Line 29: | ||
|- | |- | ||
| bgcolor="#BCD2EE" align="center" | ''Fixers of Stable Functionals'' | | bgcolor="#BCD2EE" align="center" | ''Fixers of Stable Functionals'' | ||
|- | |||
| bgcolor="#BCD2EE" | | |||
Coming soon... | |||
|} | |||
</center> | |||
<br> | |||
== Dec 17 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |||
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Kaplan''' | |||
|- | |||
| bgcolor="#BCD2EE" align="center" | Coming soon... | |||
|- | |- | ||
| bgcolor="#BCD2EE" | | | bgcolor="#BCD2EE" | |
Revision as of 02:26, 25 August 2015
Return to NTS Fall 2015
Sep 03
Kiran Kedlaya |
On the algebraicity of (generalized) power series |
A remarkable theorem of Christol from 1979 gives a criterion for detecting whether a power series over a finite field of characteristic p represents an algebraic function: this happens if and only if the coefficient of the n-th power of the series variable can be extracted from the base-p expansion of n using a finite automaton. We will describe a result that extends this result in two directions: we allow an arbitrary field of characteristic p, and we allow "generalized power series" in the sense of Hahn-Mal'cev-Neumann. In particular, this gives a concrete description of an algebraic closure of a rational function field in characteristic p (and corrects a mistake in my previous attempt to give this description some 15 years ago). |
Sep 10
Sean Rostami |
Fixers of Stable Functionals |
Coming soon... |
Dec 17
Nathan Kaplan |
Coming soon... |
Coming soon... |