Irish Geometry Conference 2007

The 2007 Irish Geometry Conference will take place on 24-25 May this year at the National University of Ireland, Galway.
A conference dinner will take place on the evening of Thursday, May 24.
Prospective participants should register their intention to attend the conference by contacting John Burns, James Cruickshank or Claas Röver indicating if possible whether they plan to attend the conference dinner.
All interested persons are very welcome to attend the conference. We look forward to seeing you in Galway. Some travel and accommodation information about Galway can be found below.

Please note that a BOIL WATER notice has been in effect in Galway since late March 2007. Tap water in Galway city is not safe for drinking at present due to contamination with the cryptosporidium parasite, so drink only boiled or bottled water while in Galway.

Schedule

All talks take place in the Martin O'Tnuthail Theatre, Arts Millenium Building (AM150).

Thursday, May 24
Coffee
11:30am - 12:15pm Ian Short (NUIM)
Conjugacy and reversibility in Thompson's groups and related groups abstract
12:15pm - 1:00pm Jose Carlos Diaz Ramos (UCC)
Homogeneous hypersurfaces in the complex hyperbolic space
Lunch
2:30pm - 3:15pm Colum Watt(DIT)
From Permutahedron to Associahedron
3:15pm - 4:00pm Mark Walsh (University of Oregon)
Positive scalar curvature and Generalised Morse functions
Coffee
4:30pm - 5:30pm John Wood (Leeds)
Infinitesimal deformations of harmonic maps

Friday, May 25
9:30am - 10:15am Stefan Bechtluft-Sachs (NUIM)
Metric Rigidity of Holomorphic Maps abstract
10:15am - 11:15am John Parker (University of Durham, UK)
Unfaithful triangle groups and the hunt for complex hyperbolic lattices
Coffee
11:45am - 12:30pm Kurt Falk (NUIM)
Nonrecurrent dynamics in hyperbolic manifolds abstract
12:30pm - 1:15pm Sebastian Klein (UCC)
Totally geodesic submanifolds in Riemannian symetric spaces of rank two
Lunch
2:15pm - 3:15pm Gudlauger Thorbergsson (Cologne)
Variationally complete actions

Abstracts

Ian Short Conjugacy and reversibility in Thompson's groups and related groups
We discuss the conjugacy problem and the reversible maps problem (the problem of determining whether a member of a group is conjugate to its own inverse) for certain groups of piecewise linear homeomorphisms of one-dimensional manifolds.

Stefan Bechtluft-Sachs Metric Rigidity of Holomorphic Maps
By Calabi's Rigidity Theorem, a non degenerate (or "full") holomorphic map from a Kaehler manifold in a Hermitian symmetric space is determined up to congruence by its first fundamental form. Without non degeneracy assumptions, we can still describe congruence classes of holomorphic maps in a Hermitian symmetric space by the first fundamental form together with a Lie triple system of this symmetric space. More generally, congruence classes of smooth maps in an affine symmetric space are classified by the pull back of the tangent bundle ("moving frames") together with certain tensorial invariants which are intrinsically defined over the domain manifold. For harmonic resp. holomorphic maps, we obtain complete sets of local invariants.

Kurt Falk Nonrecurrent dynamics in hyperbolic manifolds
Recurrent dynamics in geometrically finite hyperbolic manifolds is well understood by means of Patterson-Sullivan theory. For geometrically infinite manifolds the focus shifts to nonrecurrent dynamics, with mutually singular conformal measures associated to different infinite ends of a given manifold. Even more, nonrecurrent dynamics becomes the "thick part" of dynamics, not only in the sense of measure but also Hausdorff dimension, for manifolds with a dimension gap between recurrent and nonrecurrent dynamics. I will present some classical results in this area alongside with newer research I was involved in.

Travel and Accommodation

Please contact Ireland West for further information about accommodation near NUI Galway.

For further information on the Irish Geometry Conference 2007, please keep an eye on this website which will be updated regularly.

The Irish Geometry Conference 2007 is generously supported by