Aug

16

Tue

Antonella Perucca (University of Regensburg), Reductions of algebraic numbers

Number theory talk, accessible to all graduate students. Join us! Abstract: We start by considering the reductions of the integers modulo the various prime numbers. More precisely, we investigate the multiplicative order of the reductions of an integer.

We then generalize this setting to number fields and illustrate some results which are joint work with Christophe Debry.

Aug

17

Wed

Speaker: William Stein (SageMath, Inc. & University of Washington)

Title: What is SageMath good for?

Abstract: Answer – almost everything you do. I will talk about how you can use SageMath in teaching and research. In particular, how to use Sage to support courses involving computation, to help in collaborative writing of LaTeX documents, to contribute and improve peer reviewed implementations of algorithms, and to explore new mathematics.

Sep

1

Thu

Achilles Beros will

speak on “Algorithmic learning and the arithmetic hierarchy”

Summary:

I will present a theorem from my thesis that establishes the arithmetic

complexity of a well-known learning criterion. Two other papers have

been published since then that continue the line of research. I will

discuss the newer papers as well as broader connections between

recursion theory and learning theory.

Keller Hall 303

Sep

8

Thu

This week the Sporadic Logic Seminar will be Mushfeq Khan speaking on

“Turing degrees and Muchnik degrees of recursively

bounded DNR functions”.

Summary:

This talk is based on a forthcoming paper by Steve Simpson. It contains

some results that shed light on a part of the Muchnik lattice that remains

poorly understood: the various degrees of recursively bounded DNR functions

obtained by varying the recursive bound.

Keller 303

## University of Hawaiʻi at Mānoa