1 March (Day 1)
Venue: 1006 Mathematical Sciences and Industrial Psychology Building
Parking 1 (paid):
Parking 2 (free):
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)
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
6 March (Day 3)
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