# Workshop in Abstract Mathematics

### 18 September 2010

*Organized by the Seminar in Abstract Mathematics*

Mathematics Division,
Dep. of Math. Sciences,
Van Der Sterr Building,
Stellenbosch University

## Program

*Morning Session Venue: 3021 (Mathematics building)*

9:00 *Opening by* Professor Ingrid Rewitzky

9:20 Dr Gareth Boxall - Logic: Abstraction in Model Theory

10:00 Dr Karin Howell - Algebra: Maximal Endomorphism Semirings - an introduction

10:20 *Student talk (MSc)* Alex Samuel Bamunoba - Number Theory: Cyclotomic Polynomials over Q

10:50 *Break*

11:00 *Student talk (MSc)* Friday Michael - Category Theory: Generalized diagram lemmas

11:40 *Student talk (BSc)* Elbert De Kock - Algebra (categorical): Approximate unitary magmas

12:20 Dr Bruce Bartlett - Physics (categorical): How category theory helps us understand quantum mechanics

13:00 *Lunch in the Blueroom (Neelsie)*

*Afternoon Session Venue: 3021 (Mathematics building)*

14:00 *Student talk (PhD)* Ando Razafindrakoto - Topology (categorical): An approach to convergence in categories

14:40 Dr Tamar Janelidze - Category Theory: Calculus of E-relations in relative regular categories

15:20 Dr Magdaleen Marais - Algebra: The number of matrices in the centralizer of a 2x2 matrix over a finite factorring of a UFD

16:00 *Break*

16:10 *Student talk (PhD)* Thomas Masiwa - Algebra: On products of groups in which permutability and S-permutability are transitive relations on the set of all subgroups

16:50 Dr Andrew Fransman - Algebra: Products of groups in which normality is a transitive relation

17:30 *Student talk (MSc)* Dirk Basson - Number Theory: Finite Order Automorphisms of Power Series Rings over a Discrete Valuation Ring