Triangle Seminars
Tuesday, 5 Oct 2010
The Goettsche conjecture
Richard Thomas
(Imperial College)
Abstract:
Given an r-dimensional family of degree d plane curves, it is a classical (Victorian) question how many there are with r nodes.
I will attempt to explain what this means, what form Goettsche and others conjectured for the answer (for curves on arbitrary complex surfaces), and a short proof.
Given an r-dimensional family of degree d plane curves, it is a classical (Victorian) question how many there are with r nodes.
I will attempt to explain what this means, what form Goettsche and others conjectured for the answer (for curves on arbitrary complex surfaces), and a short proof.
Posted by: KCL
Wednesday, 6 Oct 2010
The vertex operator algebra of conformal loop ensembles
📍 London
Benjamin Doyon
(King's)
Abstract:
Vertex operator algebra (VOA) is the algebraic setup formalising conformal field theory. It develops in a mathematically complete way the idea of constructing quantum field theory using the algebra of symmetry currents and their modules. On the other hand, conformal loop ensembles (CLE) are measures on random loop configurations that are known, in certain cases, to describe the continuous limit of statistical models at critical points. There is a one-parameter family of such measures, supposed to correspond to all central charges between 0 and 1. These two constructions enjoy complete mathematical rigour, and give the opportunity to understand with more precision the relation between the statistical interpretation of QFT, and its algebraic description. I will describe some of my recent works in this direction: I will explain how to construct the Virasoro VOA (the stress-energy tensor and its descendents) in terms of random objects in CLE. No prior knowledge of either VOA or CLE is needed as I will review both subjects.
Vertex operator algebra (VOA) is the algebraic setup formalising conformal field theory. It develops in a mathematically complete way the idea of constructing quantum field theory using the algebra of symmetry currents and their modules. On the other hand, conformal loop ensembles (CLE) are measures on random loop configurations that are known, in certain cases, to describe the continuous limit of statistical models at critical points. There is a one-parameter family of such measures, supposed to correspond to all central charges between 0 and 1. These two constructions enjoy complete mathematical rigour, and give the opportunity to understand with more precision the relation between the statistical interpretation of QFT, and its algebraic description. I will describe some of my recent works in this direction: I will explain how to construct the Virasoro VOA (the stress-energy tensor and its descendents) in terms of random objects in CLE. No prior knowledge of either VOA or CLE is needed as I will review both subjects.
Posted by: KCL
Friday, 8 Oct 2010
Production of a vector boson in association with multiple jets at NLO in QCD at the LHC
Lance Dixon
(SLAC)
Abstract:
Particle group seminar. See more information here:
http://pprc.qmul.ac.uk/seminars/seminars.html
(No seminar in Queen Mary on Thursday.)
Particle group seminar. See more information here:
http://pprc.qmul.ac.uk/seminars/seminars.html
(No seminar in Queen Mary on Thursday.)
Posted by: QMW