Groups in Galway 2011
6-7 May, 2011
Groups in Galway has been running on an annual basis since 1978.
The scope of the conference covers all areas of group theory, applications,
and related fields. All who are interested are invited to attend. The webpage of last year's Groups in Galway conference is located here.
Speakers
Confirmed speakers at the moment include
-
Collin Bleak (University of St Andrews)
-
Bettina Eick (TU Braunschweig)
-
Dave Johnson (Nottingham)
-
Matjaž Konvalinka (University of Ljubljana)
-
Lars Louder (University of Michigan)
-
Sinéad Lyle (University of East Anglia)
-
Tobias Roßmann (NUI Galway)
-
Enric Ventura (Universitat Politècnica de Catalunya, Manresa)
Schedule
Below is a tentative schedule which may still change but only minimally.
All talks will be in IT125 in the IT Building.
Move the cursor over a title for a short abstract.
Friday 6 May
10.00-10.45
Tobias Roßmann
Irreducibility Testing of Nilpotent Matrix Groups
We describe an algorithm for deciding irreducibility of nilpotent
matrix groups over number fields. In the case of finite nilpotent
groups, we obtain a fully constructive algorithm which also performs
well in practice.
11.00-11.45
Dave Johnson
The Fibonacci Story
Sie ist endlich, sie ist unendlich, sie ist endlich, sie ist unendlich, ...
11.45-12.15
Coffee/tea
12.15-1.00
Lars Louder
Nielsen Equivalence of Generating Sets for Surface Groups
I will prove that generating sets of surface groups are
either reducible or Nielsen equivalent to standard generating sets,
improving upon a theorem of Zieschang. Equivalently, Aut(Fn) acts
transitively on Epi(Fn, S) when S is a surface group.
1.00-2.30
Lunch
2.30-3.15
Bettina Eick
p-Groups, Coclass and Schur Multiplicators
We exhibit recent advances in the understanding of the
Schur multiplicators of finite p-groups using coclass theory as
main tool for the investigation.
3.15-4.00
Matjaž Konvalinka
Weighted Branching Rule for the Hook Lengths
The hook length formula is a famous result that gives the number of standard
Young tableau of a certain shape, and the dimension of the corresponding
irreducible representation of the symmetric group. It is trivially
equivalent to the branching rule for the hook lengths. In the talk, I will
give a bijective proof of a new, weighted version of the branching rule.
Time permitting, I will discuss some variants of the bijection that yield
other interesting formulas, including the dimensionality theorem for the
symmetric group.
4.00-4.15
Martin Newell
Non-dissolvable Groups
Surprise, surprise!
4.15-5.00
Coffee/tea
5.00
Everyone Present
Can we prove something worthwile? - Mathematics Live
How long does it take to come up with a result?
Given a f.g. group G, define the commuting graph C(G) on the vertex set
G by putting an undirected edge between two elements if and only if they
commute. Suppose the induced subgraphs Ci of C(G) by the vertices
of a strictly increasing sequence Bi of finite subsets of G with
union G has more than P% of the edges of the complete graph on |Bi|
vertices for a large number of i. How close is G to being abelian?
This question was posed to me by Armando Martino but I think Enric is also
thinking about it and I'm sure they don't mind getting it out of the way.
The idea is to try to find and answer one mathematically sound version of this question
usind the combined power of differently trained expert brains in less than 150min.
Students are particularly encouraged to join. This is your chance to see that
failure is common or
GET UR NAME ON A PAPER hopefully.
7.30
Conference Dinner: Vina Mara, Middle Street
Saturday 7 May
10.00-10.45
Sinéad Lyle
Representations of the Symmetric Groups
The ordinary irreducible representations of the symmetric
groups Sn are reasonably well understood.
They are indexed by partitions of n, and there are closed formulae
for their dimensions.
By contrast, the modular representation theory is less well
understood. We will discuss what is actually known.
10.45-11.15
Coffee/tea
11.15-12.00
Collin Bleak
Minimal non-solvable Subgroups of Thompson's Group F
Sorry, no abstract.
12.15-1.00
Enric Ventura
On the Difficulty of Inverting Automorphisms of Free Groups
Let G be a group and X a finite set of generators. In this talk, we
will introduce a function f(n) whose asymptotic behavior measures how
difficult it is to invert automorphisms of G. More precisely, f(n) is
the maximum norm of the inverses of all those automorphisms of G whose
norm is at most n. After analyzing some general properties of this new
function, we will restrict our attention to the free abelian and free cases.
For all such groups we will show that f(n) is polynomial.
Travel
There are regular rail
connections from Dublin to Galway, and
bus
connections from all Irish cities and towns.
From Dublin airport there are also direct busses to Galway operated by
Citylink and GoBus.
There are direct flights to Galway Airport from Belfast,
Dublin, Luton, London Southend, Manchester and Edinburgh.
The Airport is 7kms from the NUI Galway campus.
Taxis typically cost €20-25.
Directions to NUI Galway by road can be found
here
.
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 Hotel,
091 521 442
(Some rooms are on hold for the conference, so mention that
you are attending and you should get one for € 85 ppn.)
- 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 organiser Claas Röver.
Groups in Galway 2011 is generously supported by
- The Millennium Research Fund, NUI Galway
- The Office of the Registrar and Deputy President, NUI Galway
- School of Mathematics, Statistics and Applied Mathematics, NUI Galway