Groups in Galway 2014
23-24 May 2014
Groups in Galway has been running on an annual basis since 1978.
The scope of the conference workshop covers all areas of group theory,
applications, and related fields. All who are interested are invited
to attend. There is no conference fee. The webpage of last year's
Groups in Galway conference workshop is
located here.
Speakers
Conference Photos 1 2
List of Participants
Schedule
Below is a tentative schedule.
All talks will be in the
Arts Millenium Building (AM150) of NUI Galway.
Move the cursor over a title for a short abstract.
The final schedule with abstracts is now available for print here.
Friday 23 May
10.00-10.45
Philippe Elbaz-Vincent
The group K_8(Z) is trivial
10.45-11.15
Coffee/tea
11.15-12.00
Herbert Gangl
On the homology of linear groups over imaginary quadratic fields
Abstract:
Let Gamma be the group GL_N (OO_D),
where OO_D is the ring of integers in the imaginary quadratic field with negative discriminant D.
In this talk, we discuss the cohomology of Gamma for N=3,4 and for a selection of discriminants:
D greater than or equal to -24 when N=3, and D=-3,-4 when N=4.
In particular we compute the integral cohomology of Gamma up to p-power torsion for small primes p.
Our main tool is the polyhedral reduction theory for Gamma developed by Ash and Koecher.
Our results extend work of Staffeldt, who treated the case n=3, D=-4.
In future work,
we will apply some of these results to the computations with the K-groups K_4 (OO_D), when D=-3,-4.
This is joint work with Paul E. Gunnells, Jonathan Hanke, Achill Schuermann,
Mathieu Dutour Sikiric and Dan Yasaki.
12.15-1.00
Michael Tuite
A Brief History of Moonshine
Abstract:
It is 35 years since original Conway and Norton published their Monstrous Moonshine Conjectures. In this talk I will review some of the many subsequent related discoveries in the area of vertex operator algebras and conformal field theory.
1.00-3.00
Lunch
3.00-3.45
Markus Linckelmann
A characterisation of nilpotent blocks
Abstract:
The broader context for this talk is the
interplay between the structure theory of finite
groups and their p-local structure. The notion of
p-local structure has been axiomatised by Puig
in the early 1990s, leading to abstract fusion
systems. These have been studied by many authors
in the last decade, motivated by applications in
homotopy theory and modular representation theory.
The general theory of fusion systems starts feeding
back into modular representation theory. The
present talk describes a result in this spirit, generalising
a character theoretic result of Isaacs to block algebras.
This is joint work with R. Kessar and G. Navarro.
4.00-4.45
Radha Kessar
On transitive block fusion systems
5.00
Poster Competition and Reception with refreshments in ADB1020 (Mathematics seminar room) in Áras de Brún
7.30
Conference workshop dinner : Vina Mara, Middle Street, 3 courses, 24 Euro, speakers funded.
Saturday 24 May
9.15-10.00
Kevin Hutchinson
Hilbert's Third Problem and Scissors Congruence Groups
Abstract:
Hilbert's third problem was to find two polyhedra of equal volume
neither of which can be subdivided into
finitely many pieces and re-assembled to equal the other (we say they
are `scissors-congruent' if this can be done).
It was solved in 1900 by Max Dehn, who introduced a new invariant of
(scissors-congruence classes of) polyhedra for
the purpose. Much later, in 1965, J. P. Sydler showed that volume and
Dehn invariant are a complete set of invariants for
classes of polyhedra in 3-dimensional Euclidean space.
However, the corresponding problems for hyperbolic and spherical space
have been much studied in the last thirty years
because of their connections with K-theory, motivic cohomology,
regulators and polylogarithms,
homology of Linear groups and several other topics of current interest.
I will give an overview of the history of these questions and discuss
some recent related developments.
10.15-11.00
Grant Lakeland
Systoles and Dehn surgery for hyperbolic 3-manifolds
Abstract:
Let G < PSL(2,C) be a finite covolume Kleinian group, and let M =
H^3/G. The systole of M is its shortest closed geodesic, and the systole
length can be studied via traces of elements of G. In this talk, I'll
discuss the relationship between systole length and volume in M, and
prove an asymptotic upper bound for systole length in terms of volume
when G is non-cocompact. This result is applied to show that given any
3-manifold M and any knot or link L in M, although the volume of the
complement M-L is unbounded, the systole length is bounded independent
of L. This is joint work with Chris Leininger.
11.00-11.30
Coffee/tea
11.30-12.15
Jacques Thévenaz
From finite sets to group algebras
Abstract:
Let X be a finite set. In a joint work with Serge Bouc, we construct a
finite-dimensional algebra canonically associated to X and we study its
structure. We consider the algebra of the monoid of all relations on X,
modulo the ideal generated by the relations factorizing through a set of
cardinality strictly smaller than Card(X), called inessential
relations. This quotient is called the essential algebra associated to
X. We then define a suitable nilpotent ideal of the essential algebra
and describe completely the structure of the corresponding quotient, a
product of matrix algebras over suitable group algebras. In particular,
we obtain a description of all the simple modules for the essential
algebra.
Registration
If you want to participate in the conference workshop, please send us an email to
sejong.park@nuigalway.ie
with subject line "gig2014 registration" indicating your name,
affiliation, and whether you want to join the conference workshop dinner
(indicating special dietary requirements if they apply).
Poster prize
There will be a poster session for students, PhD students, post-doctoral
research fellows and other young researchers, and research expenses
prizes will be awarded to the top ranked posters.
If you are not based in Galway, you can send a pdf file of your poster
to
Alexander Rahm,
and he will get your poster printed locally (free of charge for the participant), in order to avoid transport damage.
Travel
There are regular rail
connections from Dublin to Galway, and
bus
connections from all Irish cities and towns.
From Great Britain, Galway can be reached by Sail and Rail.
If you have a longer journey than from the British Isles, then Dublin
Airport and Shannon Airport will probably be the most convenient places
to land in Ireland.
From Dublin airport there are direct shuttle buses to Galway operated
by
Citylink
and GoBus.
There are flights to Shannon Airport
from Birmingham, Edinburgh, Heathrow, London City and Manchester by Aer
Lingus.
Galway Airport is out
of passenger operation.
Directions to NUI Galway by road can be found
here
.
Galway is a small city and you can reach any destination in the city center comfortably by walking. It takes about 15 minutes from Galway Coach Station to the university (Google maps direction).
NUI Galway has a number of pay-and-display
parking places for visitors. Cars parked in other spaces on the NUI
Galway campus and not displaying a valid parking permit will be
clamped.
Accommodation
The following hotels and guest houses are convenient for the NUI Galway
campus:
- The Westwood House
Hotel,
091 521 442
- The House Hotel,
091-538 900
- Bologna B&B, 091-523792
- Aneesha B&B, 091-524250
- Ashgrove House B&B, 091-581291
- Villanova B&B, 091-524849
- Coolavalla B&B, 091-522415
- Rosgal B&B, 091- 524723
- De Sota B&B, 091-585064
Please contact Ireland West
for further information about accommodation near NUI Galway.
For further information, please keep an eye on this website which will
be updated regularly, or contact the organisers Sejong Park
and Alexander Rahm.
Groups in Galway 2014 is generously supported by