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Trinity College Dublin
HamiltonMathematics Institute, TCD
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                                                                SPEAKERS


Name Affiliation Title and abstract
Files
Robert Jaffe
MIT
Casimir Physics

After discussing what is meant by the title, I describe some recent
developments at both the mesoscopic and particle physics energy scales

 
                
Herbert Neuberger
Rutgers
Planar QCD: news from the lattice front

Analytical and numerical methods of lattice field theory have established several
facts about planar QCD that might eventually help determine a string equivalent:
(1) Euclidean planar QCD on an l^4 lattice is l-independent for l > l_c.
(2) Chiral symmetry breaks spontaneously by a random matrix mechanism.
(3) The pion mass squared is well described by a parabola in quark mass.


Leon Takhtajan
Stony Brook
Faddeev-Popov ghosts, holomorphic factorization of Laplacians on Riemann surfaces, and higher genus generalization of Kronecker's first limit formula

We give an explicit and precise formulation of the factorization of the
bosonic string effective action in terms of Faddeev-Popov ghosts. It is
based on a new holomorphic factorization formula for determinants of
Laplace operators on Riemann surfaces of genus g>1, which generalizes the
classical Kronecker's first limit formula when g=1. This is a joint work
with A. McIntyre, math.CV/0410294 (to appear in GAFA).


Thomas Mohaupt
Friedrich-Schiller
Univ., Jena
Black hole entropy: beyond the area law.

In the presence of higher curvature terms, the area law
for the black hole entropy needs to be modified, in order
that the first law of black hole mechanics remains valid.
The resulting subleading corrections to the black hole
entropy agree with the subleading corrections of the
statistical entropy predicted by string theory. Recently,
this observation has been the starting points for various
new developments, which, for example,  link the black hole
entropy to the partition function of topological string theory.
We give an overview of both old and new results on this topic.


Siddhartha Sen
TCD
Geometric Finiteness and Quasinormal Modes

The BTZ Black Hole appears near the event horizon of many String Theory
Black Holes. It was shown that the BTZ Black Hole is geometrically
finite. This is a propert that a hyberbolic three manifold can have.
A consequence of this property is that there is a one to one correspondence
between the three geometry of the BTZ Black Hole and the Teichmuller
space of its boundary two manifold. This property is a consequence
of a theorem due to Sullivan. By using this result a ADS/CFT result
follows from an examination of quasinormal modes of a scalar field
in the BTZ background geometry. The talk will outline these ideas




Luke Drury
DIAS
Informal talk: Hamilton in Dunsink

William Rowan Hamilton was Andrews' Professor of Astronomy in Trinity College
and Royal Astronomer of Ireland from 1827 until his death. He resided at Dunsink
Observatory, which now constitutes part of the Dublin Institute for Advanced Studies.