Triangle Seminars
Monday, 19 Jan 2009
Coamoeba and equivariant homological mirror symmetry for the projective space
Kazushi Ueda
(Oxford)
Abstract:
A brane tiling is a bicolored graph on an oriented real 2torus, which conjecturally describes both the derived category of coherent sheaves on a 2dimensional toric Fano stack and the derived category of the directed Fukaya category of the mirror. When the toric Fano stack is the projective plane, the corresponding brane tiling divides the torus into three hexagons. In the talk, based on a joint work in progress with Masahiro Futaki, I will describe the analogue of brane tiling for the projective space, which divides the real 3torus into four truncated octahedra, and explain how it helps to study a torus-equivariant version of homological mirror symmetry.
A brane tiling is a bicolored graph on an oriented real 2torus, which conjecturally describes both the derived category of coherent sheaves on a 2dimensional toric Fano stack and the derived category of the directed Fukaya category of the mirror. When the toric Fano stack is the projective plane, the corresponding brane tiling divides the torus into three hexagons. In the talk, based on a joint work in progress with Masahiro Futaki, I will describe the analogue of brane tiling for the projective space, which divides the real 3torus into four truncated octahedra, and explain how it helps to study a torus-equivariant version of homological mirror symmetry.
Posted by: IC
Tuesday, 20 Jan 2009
Edge scaling limits for non-Hermitian random matrices
Martin Bender
(KU Leuven)
Abstract:
The eigenvalue statistics at the edge of the spectrum of large random matrices from the Gaussian unitary ensemble (GUE) are described by the Airy point process and the maximal eigenvalue is asymptotically Tracy-Widom distributed.
In contrast, for the complex Ginibre ensemble (consisting of matrices with iid complex Gaussian entries), extreme eigenvalues behave like a Poisson process and the maximal modulus (or maximal real part) of the eigenvalues converges to a Gumbel-distributed random variable.
In this talk, a family of ensembles interpolating between these models is considered, and we show how a non-trivial transition between Airy and Poisson statistics occurs for the eigenvalues near the edge of the spectrum.
The eigenvalue statistics at the edge of the spectrum of large random matrices from the Gaussian unitary ensemble (GUE) are described by the Airy point process and the maximal eigenvalue is asymptotically Tracy-Widom distributed.
In contrast, for the complex Ginibre ensemble (consisting of matrices with iid complex Gaussian entries), extreme eigenvalues behave like a Poisson process and the maximal modulus (or maximal real part) of the eigenvalues converges to a Gumbel-distributed random variable.
In this talk, a family of ensembles interpolating between these models is considered, and we show how a non-trivial transition between Airy and Poisson statistics occurs for the eigenvalues near the edge of the spectrum.
Posted by: brunel
Wednesday, 21 Jan 2009
Nonlocal Dynamics in String Field Theory and Cosmological Applications
Liudmila Joukovskaya
(DAMTP)
Abstract:
In this talk we will consider dynamics with infinitely many time
derivatives, such equations follow directly from string field theory and
have many interesting properties. First we will review results for the case
of Minkowski background and then consider coupling to nontrivial
background, in particular, to Friedmann-Robertson-Walker metric. New
methods for solving corresponding nonlocal Friedmann equations will be
presented and resulting solutions in the view of cosmological applications
will be discussed.
In this talk we will consider dynamics with infinitely many time
derivatives, such equations follow directly from string field theory and
have many interesting properties. First we will review results for the case
of Minkowski background and then consider coupling to nontrivial
background, in particular, to Friedmann-Robertson-Walker metric. New
methods for solving corresponding nonlocal Friedmann equations will be
presented and resulting solutions in the view of cosmological applications
will be discussed.
Posted by: IC
Thursday, 22 Jan 2009
Berry Phase and Supersymmetry
David Tong
(DAMTP, Cambridge)
Friday, 23 Jan 2009
An Introduction to non-geometric backgrounds in string theory
Ron Reid-Edwards
(Queen Mary)
Abstract:
This is the first lecture of a short course on non-geometric backgrounds. For more information on the course and the schedule, please visit
http://www.strings.ph.qmw.ac.uk/index.htm
and follow the link to the Graduate Program in String/Field Theory.
This is the first lecture of a short course on non-geometric backgrounds. For more information on the course and the schedule, please visit
http://www.strings.ph.qmw.ac.uk/index.htm
and follow the link to the Graduate Program in String/Field Theory.
Posted by: QMW