Simon Brain

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Recent and Upcoming Talks

TBA


Selected Past Presentations

2015

The Noncommutative Geometry of Self-Dual Gauge Fields II, Geometry seminar, University of Wollongong, AUS, Feb 2015
The Noncommutative Geometry of Self-Dual Gauge Fields I, Geometry seminar, University of Wollongong, AUS, Feb 2015

2014

The Noncommutative Geometry of Self-Dual Gauge Fields II, Noncommutative Geometry and Its Applications, Bonn, GER, Nov 2014
The Noncommutative Geometry of Self-Dual Gauge Fields I, Noncommutative Geometry and Its Applications, Bonn, GER, Nov 2014
The Gysin Sequence for Quantum Lens Spaces, Noncommutative Geometry and Its Applications, Bonn, GER, Oct 2014
The Gysin Sequence for Quantum Lens Spaces, Noncommutative Geometry and Mathematical Physics, Scalea, ITA, June 2014
The Gysin Sequence for Quantum Lens Spaces, GAGA seminar, University of Utrecht, NED, May 2014
Operator Space Structures in Noncommutative Geometry, KK-day, Radboud University Nijmegen, NED, Mar 2014

2013

The Gysin Sequence for Quantum Lens Spaces, Operator Algebras Seminar, University of Wollongong, AUS, Oct 2013
The Noncommutative Geometry of Self-Dual Gauge Fields, Geometry and Topology Seminar, University of Warwick, UK, June 2013
The Internal Gauge Theory of Noncommutative Spin Manifolds, Quantum Geometry and Matter, SISSA, Trieste, ITA, April 2013

2012

Gauge Theory from Spectral Triples in Noncommutative Geometry, Noncommutative Geometry Seminar, SISSA, Trieste, ITA, Nov 2012
A "Stacky" Approach to Quotient Spaces in Noncommutative Geometry (Part II), Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, October 2012
A "Stacky" Approach to Quotient Spaces in Noncommutative Geometry (Part I), Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, October 2012
A Quantum Deformation of the Quaternionic Hopf Fibration, First Joint Meeting of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Liege, BEL, June 2012
Differential and Twistor Geometry of Self-Dual Yang-Mills Gauge Fields, Differential Geometry Seminar, IMPAN, Warsaw, POL, May 2012
Noncommutative Geometry of a Quantum Deformation of the Hopf Fibration $S^7\to S^4$, Noncommutative Geometry Seminar, IMPAN, Warsaw, POL, May 2012
Gauge Theory from Spectral Triples in Noncommutative Geometry, Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, May 2012
Gauge Theory on Noncommutative Manifolds, Mathematical Institute, University of Oxford, UK, April 2012
Gauge Theory on Noncommutative Manifolds, WIMCS-INI Meeting on Noncommutative Geometry, Cardiff, UK, Apr. 2012
Gauge-Theoretic Invariants of Toric Noncommutative Manifolds, `Noncommutative Algebraic Geometry and Applications to Physics', Lorentz Center, Leiden, NL, Mar. 2012
A Review of Differentiable Stacks, Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, Feb. 2012

2011

Compact Quantum Homogeneous Spaces via Noncommutative Geometry, Harmonic Analysis Seminar, University of Luxembourg, LUX, Dec. 2011
What is a Stack? (Part II), Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, Oct. 2011
What is a Stack? (Part I), Algebra, Geometry and Quantization Seminar, University of Luxembourg, LUX, Oct. 2011
Very Basic Algebraic Geometry, Algebra and Geometry Seminar, University of Luxembourg, LUX, Sept. 2011
Representation Theory and Morita Equivalence of C*-Algebras (I-II), Doctorands' Seminar, University of Luxembourg, LUX, April, May 2011
Foundations of Noncommutative Geometry III: Noncommutative Geometry of Quantum Groups, Algebra and Geometry Seminar, University of Luxembourg, LUX, Apr 2011
Foundations of Noncommutative Geometry II: Noncommutative Geometry, Algebra and Geometry Seminar, University of Luxembourg, LUX, Mar 2011
Foundations of Noncommutative Geometry I: Noncommutative Topology, Algebra and Geometry Seminar, University of Luxembourg, LUX, Mar 2011
Algebraic Quantum Groups and the Quaternionic Hopf Fibration, Math. Physics Seminar, Radboud University Nijmegen, NLD, Feb 2011
The Topology of Instantons on Noncommutative Four-Spheres, Noncommutative Geometry Seminar, IMPAN Warsaw, POL, Jan 2011 (slides) (video)

2010

Elements and Applications of Twistor Theory, General Mathematics Colloquium, Radboud University Nijmegen, NLD, Nov 2010
Landstad-Kasprzak Duality for Crossed Product C*-Algebras, Radboud University Nijmegen, NLD, Nov 2010
Noncommutative Geometry of Self-Dual Gauge Fields, Mathematical Physics Seminar, Radboud University Nijmegen, NLD, Oct 2010 (slides)
On the Noncommutative Geometry of Self-Dual Gauge Fields, Geometry and Physics VIII, Scalea, ITA, Sept 2010
The 3D Spin Geometry of the Quantum Two-Sphere, Noncommutative Geometry Seminar, SISSA, Trieste, ITA, Feb 2010

2009

The Noncommutative Geometry of Instantons on $S^4_\theta$, Mathematical Physics Seminar, Radboud University Nijmegen, NLD, Dec 2009
Classical and Noncommutative Twistor Theory, Radboud University Nijmegen, NLD, Dec 2009
The Moduli Problem for Noncommutative Instantons, Workshop on `Modern Geometry', University of Luxembourg, LUX, Nov 2009
The Noncommutative Geometry of Yang-Mills Gauge Fields, Mathematical Physics Seminar, Cardiff University, GBR, Nov 2009
Noncommutative Instantons on the Connes-Landi Four-Sphere, Quantum Field Theory Seminar, Mathematical Institute, Univ. of Oxford, GBR, Oct 2009
Braided Noncommutative Geometry and the Construction of Instantons, Algebra Seminar, Swansea University, GBR, Oct 2009
Constructing the Noncommutative Hopf Fibration, Annual Meeting of the French-Italian Noncommutative Geometry Network (70th birthday conference in honour of John Roberts), Vietri sul Mare, ITA, Sept 2009 (slides)
The Geometry of Instantons on the Theta-Deformed Four-Sphere, Workshop on Noncommutative Geometry in Representation Theory and Integrable Systems, Trieste, ITA, July 2009
Moduli Spaces of Noncommutative Instantons, Noncommutative Geometry Seminar, SISSA, Trieste, ITA, July 2009

Up to 2008

Noncommutative Families of Monads and Instantons, Mathematical Physics Seminar, SISSA, Trieste, ITA, Dec 2008
Twistor Construction of Noncommutative Instantons, Annual Meeting of European Noncommutative Geometry Network, DIAS, Dublin, IRE, Jun 2008
Morita Equivalence and the Penrose Twistor Transform, Mathematical Physics Seminar, SISSA, Trieste, ITA, Jan 2008
A Twistor Interpretation of the Noncommutative Basic Instanton, Workshop on Noncommutative Manifolds II, ICTP, Trieste, ITA, Oct 2007 (slides)
Quantising the Twistor Geometry of the Basic Instanton, Mathematical Physics Seminar, SISSA, Trieste, ITA, Sept 2007
Quantum Principal Bundles in Twistor Theory, Noncommutative Geometry Programme, Newton Institute, Cambridge, GBR, Sept 2006
Groupoid C*-Algebras and the Penrose-Ward Transform, British Mathematics Colloquium, University of Newcastle, GBR, Apr 2006
The Noncommutative Penrose-Ward Transform, Quantum Field Theory Seminar, Mathematical Institute, Oxford University, GBR, May 2005
The Noncommutative Ward Correspondence, Regional AMS Conference, Northwestern University, USA, Oct. 2004