Category Archives: Workshops

South African Category Theory Days 2017

SACTD2017 poster with the list of invited speakers

1 March (Day 1)


Access

Venue: 1006 Mathematical Sciences and Industrial Psychology Building


Parking 1 (paid):


Parking 2 (free):


13:50-14:00: Welcome

by S. Wagner (Head of the Mathematics Division at Stellenbosch University, and Z. Janelidze


14:00-15:00: H.-E. Porst

Coalgebras in varieties


15:30-16:30: P. Gosh

Revisiting the constructions of pre- and pseudo-topological spaces, I


5 March (Day 2)


Access

Venue: 1006 Mathematical Sciences and Industrial Psychology Building (same as on Day 1).


Parking at the venue:


9:00-10:00: N.-M. Ferreira

Mobi algebras as an abstraction to the unit interval and its comparison to rings.


Abstract: In this talk we introduce an algebraic structure, called mobi, with three constants and one ternary operation, which can be used as a model for the unit interval of the real numbers. It has been designed in order to extract the relevant properties of the unit interval that are needed for the study of spaces with geodesic paths, from an algebraic point of view. We explore its connection to rings: it turns out that every ring gives rise to a certain kind of mobi algebra and that every such structure gives rise to a certain type of ring. More specifically, we show that a unitary ring is determined by a mobi algebra if, and only if, its element 2 is invertible. We also give a characterization for those mobi algebra structures that are determined by a unitary ring. This is a joint work with Jorge P. Fatelo


10:30-11:00: X. G. Martinez

LACC categories of non-associative algebras


11:10-11:50: J. R. A. Gray

On the existence of normalizers for internal algebras in cartesian closed categories as well as in the category of topological spaces


12:00-13:00: P. Gosh

Revisiting the constructions of pre- and pseudo-topological spaces, II


13:00-14:45: Lunch Break


15:00-16:00: TBA


6 March (Day 3)


Access

Venue: 1010 Natural Science Building (Note: this venue is different from the one used in the previous days)


Same parking spots as for Day 1.


9:00-10:00: M. M. Clementino

On cocompletions in generalized enriched categories and their factorization systems


10:30-11:00: Z. Janelidze

If monoids give rise to monoidal categories, what do posets give rise to?


11:00-11:30: A. Goswami

What is the universal isomorphism theorem?


12:00-12:45: P.-J. Van Zyl

Towards projective set theory


13:00-14:45: Lunch Break


15:00-16:00: T. Dube

On quasi-normality of function rings (talk abstract).


16:15-17:00: F. Van Niekerk

On a possible notion of a cyclic group in normed projective group theory


17:00-18:00: TBA


2nd Workshop on Mathematical Structures

The aim of this series of workshops, organized by the Centre for Mathematical Structures of Stellenbosch University, is to exhibit the role of different types of mathematical structures across various fields in mathematics, computer science, physics, biology and other disciplines.

The second workshop from the series is hosted by the Department of Mathematical Sciences at Stellenbosch University. Its theme is:

categories in algebra and topology

The workshop is based on a series of lectures by Professor Dominique Bourn on protomodular and Mal’tsev categories.

Scientific Committee

James Gray
Zurab Janelidze
Ingrid Rewitzky

Organizing Committee

Constanse Du Toit
James Gray
Zurab Janelidze
Klara Van Zyl

Invited Speakers

Dominique Bourn (Université du Littoral Côte d’Opale, France)
Bernhard Banaschewski (McMaster University, Canada)
Themba Dube (University of South Africa)
Amartya Goswami (University of Limpopo, South Africa)
George Janelidze (University of Cape Town)
Graham Manuell (University of Cape Town)
Ando Desire Razafindrakoto (University of Western Cape)
Juana Sanchez-Ortega (University of Cape Town)

Other Participants

University of Cape Town

Ulrich Yae Gaba
Tamar Janelidze-Gray
Yusuf Johnson
Guy Paterson
Rowan Poklewski-Koziell
Peter Faul
Jason Fourie

Stellenbosch University

Mark Chimes
Michael Hoefnagel
Zurab Janelidze
James Gray
Julia Rozanova
Vaino Schaumbwa (and University of Namibia, Namibia)
Francois Van Niekerk

University of South Africa

Collins Agyingi
Oghenetega Ighedo
Partha Pratim Ghosh
Templeton Ncongwane
Jissy Nsayi Nsonde
Batsile Tlharesakgosi

University of Western Cape

Fikreyohans Solomon Assfaw
Minani Miragi


Program | Announcement


The workshop was sponsored by a National Research Foundation Grant of Zurab Janelidze and a Stellenbosch University grant of James Gray

1st Workshop on Mathematical Structures

The aim of this series of workshops, organized by the Centre for Mathematical Structures of Stellenbosch University, is to exhibit the role of different types of mathematical structures across various fields in mathematics, computer science, physics, biology and other disciplines.

The first workshop from the series will be hosted by the African Institute for Mathematical Sciences and the Department of Mathematical Sciences at Stellenbosch University. Its theme is:

ordered sets in computer science and in homological algebra

Organizing and Scientific Committee

Director of CMS: Ingrid Rewitzky (Stellenbosch University, South Africa)
Zurab Janelidze (Stellenbosch University, South Africa)

Invited Speakers

Achim Jung (University of Birmingham, United Kingdom)
Peter Ouwehand (Stellenbosch University, South Africa)
Jeff Sanders (AIMS and Stellenbosch University, South Africa)
Tim Van der Linden (FNRS, Université catholique de Louvain, Belgium)

List of participants (provisional)

Academics

Perumal Gopalraj (University of Limpopo, South Africa)
Amartya Goswami (University of Zululand, South Africa)
Achim Jung (University of Birmingham, United Kingdom)
Zurab Janelidze (Stellenbosch University, South Africa)
Steve Kroon (Stellenbosch University, South Africa)
Peter Ouwehand (Stellenbosch University, South Africa)
Ingrid Rewitzky (Stellenbosch University, South Africa)
Jeff Sanders (AIMS and Stellenbosch University, South Africa)
Tim Van der Linden (FNRS, Université catholique de Louvain, Belgium)

Students

Maggie Aphane (Thwane University of Technology, South Africa)
Mark Chimes (Stellenbosch University, South Africa)
Yae Ulrich Gaba (University of Cape Town, South Africa)
Michael Hoefnagel (Stellenbosch University, South Africa)
Eniola Funmilayo Kazeem (University of Western Cape, South Africa)
Graham Manuell (University of Cape Town, South Africa)
Mogalatjane Matabane (University of South Africa, South Africa)
Charles Nsukukazifani Msipha (Thwane University of Technology, South Africa)
Francois Schulz (University of Johannesburg, South Africa)
Phillip-Jan van Zyl (Stellenbosch University, South Africa)

Program outline

Monday, December 2

Bus takes participants from AIMS to Stellenbosch


CMS welcome by Ingrid Rewitzky

Time: 11:00-11:15
Venue: 1006 (Mathematics, Stellenbosch)


Opening lecture by Jeff Sanders (slides)

Time: 11:15-12:15
Venue: 1006 (Mathematics, Stellenbosch)


Lunch


Background course on ordered sets by Peter Ouwehand (slides)

Time: 14:00-17:30
Venue: 1006 (Mathematics, Stellenbosch)


Dinner in Decameron


Bus takes participants from Stellenbosch to AIMS


Tuesday and Wednesday, 3-4 December

AIMS welcome by Barry Green

Time: 9:00-9:10
Venue: 1006 (Mathematics, Stellenbosch)


Lectures and activities on ordered sets in computer science conducted by Achim Jung (reference: Domain Theory)

Time: 9:10-17:30
Venue: AIMS

Evening lecture by Jeff Sanders on “Data representation and categories”

Time: 19:00-20:00 (Wednesday)
Venue: AIMS


Thursday and Friday, 5-6 December

Lectures and activities on ordered sets in homological algebra conducted by Tim Van der Linden

Time: 9:00-17:30
Venue: AIMS

NOTE: Group photo will be taken at the entrance of the AIMS building at 12:50 on Thursday


Saturday, 7 December

Bus takes participants from AIMS to Stellenbosch


Student presentations

Time: 9:00-12:30
Venue: 1005 (Mathematics, Stellenbosch)


Lunch



The workshop was sponsored by African Institute for Mathematical Sciences, by National Research Foundation Grant of Ingrid Rewitzky, and by Department of Mathematical Sciences (Stellenbosch University).