# Analysis Seminar Archive for 2012-13

**Tuesday 2nd October, 2012 **
(place: TCD
EELT1 )
4:00pm

*Speaker:* D. McConnell

*Title:*Glimm ideals of the minimal tensor product of C*-algebras

**Tuesday 9th October **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* H. Render

*Title:*On harmonic functions vanishing on the boundary of a cylinder

**Tuesday 9th October **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* R. Smith

*Title:*Isomorphic polyhdedrality and countable decompositions

**Tuesday 16th October, 2012 **
(place: TCD
WR20 )
3:30pm

*Speaker:* M. Ghergu

*Title:*Singular solutions of elliptic equations in punctured balls

**Friday 19th October, 2012 **
(place: TCD
Synge LT )
4:00pm

*Speaker:* V. Paulsen (Houston)

*Title:*The Kadison-Singer Problem

**Tuesday 23rd October **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* B. Twomey (UCC)

*Title:*Dirichlet-type spaces and boundary behaviour

**Tuesday 23rd October **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* P. Hoffmann

*Title:*On $(m,p)$-isometric and $(m,\infty)$-isometric operator tuples

**Tuesday 30th October **
(place: TCD
WR20 )
2:30pm

*Speaker:* M. Mackey

*Title:*More on local derivations

**Tuesday 30th October **
(place: TCD
WR20 )
4:00pm

*Speaker:* N. Snigireva

*Title:*Inhomogeneous iterated function systems

**Tuesday 6th November **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* C. Boyd

*Title:*Complex extreme points of Marcinkiewicz sequence spaces

**Tuesday 6th November **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* S. J. Gardiner

*Title:*Universal Taylor Series and conformal mappings

**Tuesday 13th November **
(place: TCD
WR20 )
2:30pm

*Speaker:* R. Levene

*Title:*Norms of Schur idempotents

**Tuesday 13th November **
(place: TCD
WR20 )
4:00pm

*Speaker:* R. Timoney

*Title:*Universally reversible JC*-triples as operator spaces

**Tuesday 20th November **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* M. Manolaki

*Title:*Unboundedness of universal Taylor series on arbitrary domains

**Tuesday 20th November **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* A. Brown

*Title:*TBA

**Tuesday 27th November **
(place: TCD
WR20 )
2:30pm

*Speaker:* Le Hai Khoi (NTU Singapore)

*Title:*Composition operators on Dirichlet series with real frequencies

**Tuesday 27th November **
(place: TCD
WR20 )
4:00pm

*Speaker:* R. Timoney

*Title:*The work of Trevor West (1)

**Tuesday 29th January, 2013 **
(place: UCD
Ag 1.01 )
4:00pm

*Speaker:* I. Todorov (QUB)

*Title:*Subspaces of $VN(G)$ and bimodules over maximal abelian selfadjoint
algebras

**Tuesday 5th February **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* G. Geh\'er (Szeged)

*Title:*Tree-shift operators, Asymptotic Behaviour and Cyclic Properties

**Tuesday 5th February **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* M. Ghergu

*Title:*The Gelfand problem for the biharmonic operator

**Tuesday 12th February **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* T. Samuel (Bremen)

*Title:*Embedding the dynamics of Lorenz maps in linear systems

**Abstract**
In 1965 Parry proved that any topological mixing interval map with a
finite number of discontinuities is topologically conjugate to a unique
piecewise continuous map $U: [0, 1] \to [0,1]$ whose derivative is constant
everywhere, apart from at a finite number of points. When restricting to
Lorenz maps, Hubbard and Sparrow and independently Barnsley, Harding and
Vince proved that the kneading sequence of the critical point fully
determines $U$.
In this talk I will begin by reviewing these results and then I would
like to present recent joint work with Nina Snigireva and Andrew Vince.
Necessary and sufficient conditions for the dynamics of a given Lorenz map
to be fully embedded in the dynamics of a uniform Lorenz map will be
discussed. As an application of this embedding result, we describe a simple
algorithm for calculating the topological entropy of a Lorenz map. If time
permits, the talk will then end with some related open questions, which
Snigireva and I are currently working towards solving.
(This is joint work with N. Snigireva (University College Dublin) and A.
Vince (University of Florida)

**Tuesday 12th February **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* H. Render

*Title:*On Bernstein Operators fixing the constant function and a polynomial

**Tuesday 19th February **
(place: TCD
WR20 )
2:30pm

*Speaker:* R. Harte

*Title:*Taylor exactness, SVEP and spectral mapping theorems

**Tuesday 19th February **
(place: TCD
WR20 )
4:00pm

*Speaker:* D. McConnell

*Title:*The Dauns-Hofmann theorem and minimal tensor products

**Tuesday 26th February **
(place: TCD
WR20 )
2:30pm

*Speaker:* F. Howard

*Title:*Topological stable rank of Douglas algebras

**Tuesday 26th February **
(place: TCD
WR20 )
4:00pm

*Speaker:* R. Smith

*Title:*Baire category and non-Gruenhage spaces

**Tuesday 5th March **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* B. McKay (UCC)

*Title:*The Hartogs phenomenon for holomorphic geometric structures

**Tuesday 5th March **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* V. Bible

*Title:*Smooth renormings of Banach spaces

**Tuesday 19th March **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* S. J. Gardiner

*Title:*Stationary boundary points for a Laplacian growth problem

**Tuesday 19th March **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* P. Hoffmann

*Title:*$(2,p)$-isometric and $(2, \infty)$-isometric operator tuples

**Tuesday 26th March **
(place: TCD
WR20 )
2:30pm

*Speaker:* M. Venkova

*Title:*Holomorphic bases for subspaces of a Banach space

**Tuesday 26th March **
(place: TCD
WR20 )
4:00pm

*Speaker:* N. Snigireva

*Title:*Divergence points and Normal Numbers

**Tuesday 9th April **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* W. Hansen (Bielefeld)

*Title:*Champagne subdomains with unavoidable bubbles

**Tuesday 9th April **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* C. Boyd

*Title:*Isometries of weighted spaces of holomorphic functions

**Tuesday 16th April **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* P. Mellon

*Title:*Dynamics of biholomorphic maps on bounded symmetric domains

**Tuesday 16th April **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* M. Manolaki

*Title:*TBA

**Tuesday 23rd April **
(place: TCD
WR20 )
2:30pm

*Speaker:* J. Boland

*Title:*On operators approximable by hypercyclic operators

**Tuesday 23rd April **
(place: TCD
WR20 )
4:00pm

*Speaker:* F. Holland (UCC)

*Title:*On the Mortell-Seymour functional equation---a problem in search of a solution

**Thursday 9th May, 2013 **
(place: UCD
Ag 1.01 )
3:30pm

*Speaker:* David Kribs (Guelph)

*Title:*Quantum information via subsystems

**Abstract**
In this talk, I'll give an overview of some of my work over the
past few years on the underlying mathematics for quantum information.
Specifically I'll focus on the use and development of "operator
techniques" in fields such as quantum error correction and quantum
cryptography. This typically involves viewing qubits as encoded
into quantum subsystems; an approach that naturally lends itself
to connections with operator theory and operator algebras.