# Simon Brain

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TBA

### 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