Irish Geometry Conference 2011
Galway, 1314 May 2011
(Organisers: Javier Aramayona, John Burns, James Cruickshank)
The Irish Geometry Conference is a yearly conference targeting recent developments
in geometry, interpreted in a broad sense. The first edition of the conference
was hosted by Galway in 2003; the last three editions took place
in Maynooth (2010), Cork (2009) and Tralee (2008).
There is no registration fee. All are welcome to attend.
Speakers:
The following people have agreed to give a talk:

Tara Brendle (Glasgow)

Martin Bridgeman (Boston College)

Fran Burstall (Bath)

Anca Mustata (Cork)

Brendan Owens (Glasgow)

Mikael Passare (Stockholm)

David Wraith (Maynooth)

Alexey Zaytsev (UCD)
Schedule
All talks will take place in AM150, Arts Millennium Building. Click here for a map of campus.
Friday 13 May
11.0011.50
Anca Mustata
TBA
TBA
11.5012.40
Brendan Owens
A concordance group of links.
The concordance group C of knots was introduced in 1957 by
Fox and Milnor and has been the subject of a great deal of study ever
since. In 1967, following a suggestion of Fox, Hosokawa described a
group of equivalence classes of links containing C as a subgroup; he
showed this group was in fact a direct sum of C and the integers. I
will describe a different concordance group of links and discuss its
properties. This is joint work with Andrew Donald.
12.4014.10
Lunch
14.1015.00
Martin Bridgeman
Volume Identities for hyperbolic manifolds with boundary
Given a finite volume hyperbolic nmanifold M with totally
geodesic boundary, we show there is a real valued function $F_n$ such
that the volume of any finite volume hyperbolic nmanifold M with
totally geodesic boundary$M$ is the sum of values of $F_n$ on the
orthogeodesic length spectrum. For $n=2$ the function $F_2$ is the
Rogers Lfunction and the summation identities give dilogarithm
identities on the Moduli space of surfaces. We will also discuss
volume identities for geometrically finite Kleinian groups.
15.0015.30
Coffee/tea
15.3016.20
Tara Brendle
Hyperelliptic Birman exact sequences
Birman exact sequences are a key tool for inductionstyle arguments for certain classes of groups arising in geometric group theory. Motivated by a conjecture of Hain and Morifuji, we will give Birman exact sequences for symmetric mapping class groups of surfaces. We will also describe some related results on various properties of the symmetric Torelli group, a group which arises naturally in algebraic geometry and which can also be interpreted as an alternative notion of a pure braid group on a sphere. (Joint work with Dan Margalit.)
16.2017.10
David Wraith
Topology and geometry in cohomogeneity greater than one.
We study manifolds admitting a compact Lie group action
with cohomogeneity greater than one. In order to obtain
a tractable family of manifolds, we impose conditions
on the singular orbits. We investigate the topology
of the resulting objects and the existence of invariant
metrics with good curvature properties. This is joint
work with Stefan BechtluftSachs
19.30
Conference Dinner: Vina Mara, Middle Street.
Saturday 14 May
10.3011.20
Alexey Zaytsev
Reduction of abelian varieties with complex multiplication and
its first truncated BarsottiTate group schemes
Let A be an abelian variety over a number field L with complex
multiplication by the full ring of integers O_K for some CM field K.
We consider a good reduction at prime ideal S in L of the abelian
variety A. After the reduction we get an abelian variety over a finite
field of characteristic p. In this talk I explain a correspond between
the decomposition of ideal
pO_K into prime ideals and decomposition of the first truncated
BarsottiTate group scheme (A mod S)[p].
In addition I will discuss a Moduli problem of abelian varieties up to isogeny.
11.2012.10
Fran Burstall
Geometry and dynamics of isothermic submanifolds
This talk will have three parts: in the first, I will
describe the beautiful classical theory of isothermic surfaces in the
3sphere due to Christoffel, Darboux, Bianchi and others. Then I will
indicate how the 3sphere may be replaced by any symmetric Rspace (a
conjugacy class of real parabolic subalgebras with abelian
nilradicals) with essentially no loss of integrable structure.
Finally, I shall show how dynamics of the simplest examples (curves in
the real projective space) provide a geometric interpretation of the
KdV equation, its relation to the mKdV equation via the Miura
transform and the BŠcklund transformations of KdV discovered by
WalhquistEstabrook.
12.1013.00
Mikael Passare
On (co)amoebas and the trigonometry of Harnack curves
We will give a brief introduction to the notions of amoebas and coamoebas
of algebraic varieties. Special attention will be paid to the case of plane
complex curves. Some connections to other mathematical concepts, such
as linkages and Mahler measures, will also be touched upon.
Travel and Accommodation
Travel
If you are not based in Ireland, the easiest way of getting to Galway is to fly to Dublin.
From there, there are regular bus connections from the airport to Galway. Another possibility is fly to Shannon; there are hourly buses with
Bus Eireann. Galway also has a local airport, with several international connections. The airport is a few miles out
of the city; taxis tipically cost about 20/25 euros.
NUI Galway has a number of payanddisplay
parking places for visitors. Please be aware that cars parked in other spaces on the NUI
Galway campus and not displaying a valid parking permit will be
clamped.
Accommodation: The
following are convenient for the NUI Galway campus:
The Westwood
Hotel, 091 521 442
Bologna B&B, 091523792
Abbey House B&B, 091524394
Corrib Haven B&B, 091524171
Aneesha B&B, 091524250
Ashgrove House B&B,
091581291
Villanova B&B, 091524849
Coolavalla B&B, 091522415
Rosgal B&B, 091 524723
De Sota B&B, 091585064
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 Javier
Aramayona (javier.aramayona@nuigalway.ie), John Burns (john.burns@nuigalway.ie) or
James Cruickshank (james.cruickshank@nuigalway.ie).
The 2011 Irish Geometry Conference is generously supported by
The Millennium Research Fund, NUI
Galway.
The Office of the Registrar, NUI Galway.
School of Mathematics, Statistics and Applied Mathematics,
NUI Galway