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MSI Weekly Bulletin - Week starting Monday 6 February, 2006

Unless otherwise stated, seminars are held in the Bernhard Neumann Seminar Room (G35) on the ground floor of the John Dedman Mathematical Sciences Building, Bldg 27 (Map).

To have a seminar listed in this page, email the details to seminars.owner@maths.anu.edu.au.

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This week:

Algebra and Topology Seminar
MSI Colloquium
New arrivals

Tuesday 7 February, 2006

4.00pm

Algebra and Topology Seminar

Rump's criterion for full decomposability of all generalised lattices over a classical order

Dr Michael Butler (University of Liverpool)

G35

After the talk we will be taking the speaker to dinner. All are welcome to join. Please let Amnon Neeman know if you would like to come.

Abstract

Let R be a Kedekind domain, K its field of quotients, As a separable K-algebra, and S and R-order in A. A generalised lattice (lattice) over S is defined to be an S-module which is projective (and finitely generated) as an R-module. I will discuss W. Rump's recent description of orders S over which all generalised lattices decompose as direct sums of lattices, and in the particular case of the integral group rings S = ZG where IGI = 6, will indicate why this property holds for the dihedral group but not for the cyclic group.

Thursday 9 February, 2006

4.00pm

MSI Colloquium

Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids

Dr Simona Paoli (Macquarie University)

G35

Abstract

Homotopy 3-types can be modelled algebraically by Tamsamani's weak 3-groupoids as well as, in the path-connected case, by cat²-groups. The first were introduced in higher category theory as part of a definition of weak higher category, the second arose in homotopy theory, as part of a search for higher order versions of the fundamental group. In this talk I will give a comparison between these two models in the path-connected case. This leads to two different semistrict algebraic models of connected 3-types using Tamsamani's model. Both are then related to Gray groupoids.

New Arrivals

Please welcome the following people to the MSI:

Evgeny Abakumov, of Universite de Marne-la-Vallee, visiting Shahar Mendelson in Analysis and Geometry.
Jafar Ahmadi, of Ferdowsi University of Mashhad, visiting Peter Hall in Statistical Science.
Gilles Lancien, of Universite de Franche-Comte, visiting Alan McIntosh in Analysis and Geometry.
Florence Lancien, of Universite de Franche-Comte, visiting Alan McIntosh in Analysis and Geometry.
Vitali Milman, of Tel Aviv University, visiting Shahar Mendelson in Analysis and Geometry.
Samuel Mueller, of Universitaet Bern, visiting Alan Welsh in Statistical Science.
Pam de Winter, who has an Casual position with CMA.

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