London Junior Geometry Seminar

Previous Talks

Spring Term 2011 (edit)

Autumn Term 2010 (edit)

Summer Term 2010 (edit)

Spring Term 2010 (edit)

Autumn Term 2009 (edit)

Summer Term 2009 (edit)

Spring Term 2009

Speaker Date Location Title
Ed Segal Tuesday 20th Jan Maths Institute A gentle introduction to Quantum Field Theory
James Otterson Tuesday 27th Jan The Smith Invariant
Ronan Conlon Tuesday 9th Feb Hyperbolic 2-manifolds
Stuart Hall Tuesday 16th Feb Ricci Solitons
Cristiano Spotti Tuesday 9th Mar The Cheeger Gromoll Splitting Theorem
John Calabrese Tuesday 23rd Mar Topological Construction of Chern Classes

Autumn Term 2008

Speaker Date Location Title
Stuart Hall Mon 13th Oct Maths Institute Kodaira Embedding and L^2 Estimates for d-bar
Will Donovan Mon 20 Oct The Derived Category of Coherent Sheaves
Dominic Wright Mon 27th Oct The curvature tensor in 4 dimensions
James Otterson Mon 3rd Nov Hilbert Schemes
Ronan Conlon Mon 10th Nov Geometrization of 3-manifolds
Dmitri Panov Mon 17th Nov The Riemann-Roch Theorem
Soenke Rollenske Mon 24th Nov Classification of compact complex surfaces
Andrew Lobb Mon 1st Dec TBA
Cristiano Spotti Mon 8th Dec Convergence of the Kahler-Ricci Flow

Summer Term 2008
Speaker Date Location Title
Ed Segal Tue 6th May Maths Institute Equivariant Cohomology
Dominic Wright Tue 13th May HyperKahler, Hypercomplex and Quaternionic manifolds
Will Donovan Fri 30th May Generalized Dehn twists
David Stewart Tue 3rd June Orbits and subgroup structure
James Newton Tue 10th June Modular Forms

Spring Term 2008

Speaker Date Location Title
Dominic Wright Mon 14th January Maths Institute An introduction to twistor theory
James Otterson Tue 22nd January An introduction to the Seiberg-Witten equations
Tom Coates Tue 29th January 3-Manifolds via surgery
Ronan Conlon Tue 5th February Ricci flow, Perelman's L-length and applications
Sven Meinhardt Tue 12th February An introduction to stability conditions
Stuart Hall Tue 19th February Numerical Kaehler-Ricci and Calabi flows
Dmitri Panov Tue 26th February Constructions of 4 dimensional symplectic manifolds
Soenke Rollenske Tue 4th March A holomorphic symplectic manifold with singular deformation space.
Will Donovan Tue 11th March Gromov-Witten invariants for the complex projective plane

Autumn Term 2007

Speaker Date Location Title
Dominic Wright Mon 8th October Maths Institute Toric symplectic manifolds
Jacopo Stoppa 15th October An introduction to geometric invariant theory
Mario Garcia Fernandez 22nd October The Kempf-Ness theorem
Will Dison 29th October An isoperimetric function for Bestvina-Brady groups
Ed Segal Mon 5th November Sheaf cohomology
Stuart Hall 12th November Moment maps and scalar curvature
Henrique Sá Earp 26th November Anti-self-dual Yang-Mills connections
Will Donovan Mon 3rd December Complex vector bundles and Chern classes
Minette D'Lima 10th December The algebraic fundamental group

Summer term 2007

Speaker Date Location Title
Stuart Hall Mon 14th May Maths Institute Manifolds of non-negative sectional curvature
Dominic Wright Mon 21st May Compact 4-orbifolds with torus actions
Ed Segal Mon 4th June Topological conformal field theories
James Otterson Mon 11th Jun First steps in Yang-Mills
Will Dison Mon 18th Jun The second relative homotopy group
Jacopo Stoppa Mon 25th Jun The tautologucal ring of the moduli space of curves

Spring term 2007

Speaker Date Location Title
Ed Segal Mon 15th Jan Maths Institute The Leray-Serre Spectral Sequence
Jacopo Stoppa Mon 22nd Jan The Mass-Transportation Approach to Sharp Sobolev Inequalities
Dominic Wright Mon 29th Mar The Chern-Weil Theory of Characteristic Classes
Stuart Hall Mon 5th Feb Minimal Surfaces

Dmitri Panov Mon 12th Feb The Geometry of SO(4)
Kevin McGerty Mon 19th Feb The Lefschetz Hyperplane Theorem
Julien Keller Mon 26th Feb Balanced Metrics and Bergman Kernels
Henrique Sá Earp Mon 5th Mar Kovalev's G2 Manifolds
James Otterson Mon 12th Mar Contact Geometry and Lagrangians

Autumn term 2006

Speaker Date Location Title
Ed Segal Mon 9th Oct Maths Institute Moduli Spaces and Representable Functors
Jacopo Stoppa Mon 16th Oct Introduction to Complex Geometry
Joel Fine Mon 23rd Oct Introduction to Characteristic Classes
Dominic Wright Mon 30th Oct Introduction to Holonomy
Gábor Székelyhidi Mon 6th Nov Moment Maps and Stability
Paolo Stellari Mon 13th Nov Introduction to the Geometry of K3 Surfaces
Owen Jones Mon 20th Nov Root Systems and Lie Algebras
James Otterson Mon 27th Nov Momentum Maps and Reduction
Stuart Hall Mon 4th Dec Curvature and Topology
Francesco Polizzi Mon 11th Dec Automorphisms of Riemann Surfaces

Summer term 2006

Speaker Date Location Title
Henrique Sá Earp Mon 15th May IMS Elementary Chern-Simons Theory
Dominic Wright Mon 22nd May Minitwistors
James Otterson Mon 5th June Introduction to Foliation Theory
Jacopo Stoppa Mon 12th June The Futaki Invariant and Odd Symplectic Grassmannians
Ed Segal Mon 19th June The Derived Category of P^1

Spring term 2006

Speaker Date & Time Location Title
Joel Fine Mon 23rd Jan 06, 4pm 48 Prince's Gardens An Introduction to Twistor Geometry
Ben Weinkove Mon 30th Jan The Calabi Conjecture
Joel Fine Mon 6th Feb Introduction to Spinors
Henry Wilton Mon 13th Feb The Thurston Boundary of Teichmüller Space
Yann Rollin Mon 20th Feb The Seiberg-Witten Equations
CALF: Thurs 23rd Feb
Elizabeth Baldwin 1pm Moduli of Stable Maps as a GIT Quotient
Mark McLean 2.30pm Symplectic Homology
Ed Segal Mon 27th Feb Derived Categories and Derived Functors
Imma Gálvez Mon 13th Mar Vertex Operator Algebras, Elliptic Genera and the Chiral de Rham Complex
Will Dison Mon 20th Mar Automatic Groups

Autumn term 2005

Speaker Date & Time Location Title
Ed Segal Mon 10th Oct 05, 4pm 48 Prince's Gardens Introduction to Algebraic Geometry
Gábor Székelyhidi Mon 17th Oct 05, 4pm Introduction to Symplectic Geometry
Misha Feigin Mon 24th Oct 05, 4pm Frobenius structures related to Coxeter groups
Dmitri Panov Mon 31st Oct 05, 4pm Examples of Orbifolds
Henry Wilton Mon 7th Nov 05, 4pm Subgroup Separability from a Topological Point of View
Henrique Sá Earp Mon 14th Nov 05, 4pm Introduction to G2-Instantons
Ed Segal Thurs 24th Nov 05, 1pm CALF: Operads and the Moduli of Curves
Alex Paulin 3pm An Introduction to Rigid Geometry
Dominic Wright Mon 28th Nov 05, 4pm Stable Forms and Calabi-Yau Manifolds
Yann Rollin Mon 5th Dec 05, 4pm Morse Homology
Michael Tweedale Mon 12th Dec 05, 4pm An Introduction to the Bass Conjecture

Summer term 2005

Speaker Date & Time Location Title
Henry Wilton 18 April 2005, 4pm Huxley 642 Geometrization I: An introduction to Thurston's geometrization conjecture
Tim Perutz 25 April 2005, 4pm Huxley 642 Near-symplectic topology of 4-manifolds
Mark Haskins Wednesday 4 May, 4pm Huxley 658 Geometrization II: Hamilton's and Perelman's approach via Ricci flow
Ed Segal 9 May 2005, 4pm Huxley 408 The MNOP conjectures
Joel Fine 16 May 2005, 4pm Huxley 408 The h-principle
Michael Tweedale 23 May 2005, 4pm Huxley 408 Algebraic K-theory after Quillen
Richard Thomas Wednesday 1 June 2005, 3pm Huxley 540 Toric geometry III: the dual picture
Will Dison 6 June 2005, 4pm Huxley 408 Quasi-isometric rigidity of lattices in Sol
Kevin Costello 13 June 2005, 4pm Huxley 408 Super geometry

Winter term 2005

Speaker Date & Time Location Title
Fred Witt 10 January 2005, 1.30pm Huxley 642 Generalised G2-manifolds
Henry Wilton 17 January 2005, 1.30pm Huxley 642 How not to prove the Poincaré conjecture
Richard Thomas 24 January 2005, 1.30pm Huxley 642 Toric geometry I: Symplectic toric geometry
Michael Tweedale 31 January 2005, 1.30pm Huxley 642 Classifying spaces for proper actions and Bredon cohomology
Ed Segal 7 February 2005, 1.30pm Huxley 642 Equivariant cohomology
Joel Fine 14 February, 1.30pm Huxley 642 An introduction to twistors in four-dimensional Riemannian geometry
Richard Thomas Friday 18th February, 1.30pm Huxley 140 Toric geometry II: The Legendre transform
Gábor Székelyhidi 21st February, 1.30pm Huxley 642 Extremal metrics and stability
Will Dison 28 February 2005, 1.30pm Huxley 642 Dehn functions and isoperimetric inequalities
Michael Plummer 7 March 2005, 1.30pm Huxley 642 Symplectic reduction
Shu Sasaki Thursday 10th March, 1pm Huxley 139 Crystalline cohomology and crystals
Imma Galvez 14 March 2005, 1.30pm Huxley 642 A walk through the landscape of elliptic genera

Autumn term 2004

Speaker Date & Time Location Title
Sébastien Racanière 4 October 2004, 4pm Huxley 642 A 'quasi' approach to Poisson structures on non-rotating BTZ black holes
Michael Tweedale 11 October 2004, 2pm Huxley 642 Crossed modules, pictures, and 2-dimensional topology
Will Dison 18 October 2004, 2pm Huxley 642 Cohomology of finite groups
Gábor Székelyhidi 26 October 2004, 4pm Huxley 642 Elliptic operators and the Atiyah–Singer index theorem
Henry Wilton 1 November 2004, 2pm Huxley 642 Algebraic geometry over groups
Misha Feigin 8 November 2004, 2pm Huxley 642 Spherical functions and symmetric powers of the projective plane
Matthew Gould 15 November 2004, 2pm Huxley 642 Lefschetz fibrations and monodromy
Henrique Sá Earp 22 November 2004, 2pm Huxley 642 What I think A. Connes means by a non-commutative manifold
Ed Segal 29 November 2004, 2pm Huxley 642 Closed geodesics
Colin Cotter 6 December 2004, 2pm Huxley 642 Variational principles for diffeomorphism groups
Kevin Costello 13 December 2004, 2pm Huxley 642 Kontsevich's formality theorem

Summer term 2004

Speaker Date & Time Location Title
Dmitri Panov 10 May 2004, 4pm Huxley 130 Gauss–Bonnet theorem for a 2-sphere with an integral affine structure
Tim Perutz 17 May 2004, 4pm Huxley 130 Topological field theories and the Alexander polynomial
Gábor Székelyhidi 24 May 2004, 4pm Huxley 130 Complex dynamics and quasiconformal maps
Henry Wilton Wednesday 2 June 2004, 11am Huxley 139 Bass–Serre theory
Kevin Costello 7 June 2004, 4pm Huxley 130 Grothendieck's Riemann–Roch Theorem
Tom Hodge 14 June 2004, 4pm Huxley 540 Rank 1 Higgs bundles and representations of surface groups
Michael Tweedale 21 June 2004, 4pm Huxley 540 Ends of groups and compact Kähler manifolds

Winter term 2004

Speaker Date & Time Location Title
Michael Tweedale 12 January 2004, 4pm Huxley 658 L^2 cohomology and Gromov's Kähler hyperbolicity
Tim Perutz 19 January 2004, 4pm Huxley 658 Compact Kähler manifolds not homotopy equivalent to projective manifolds
Henry Wilton 26 January 2004, 4pm Huxley 658 Automorphisms of surfaces
Kevin Costello 2 February 2004, 4pm Huxley 658 Deformation theory, dg Lie algebras and derived moduli spaces
Richard Thomas 9 February 2004, 4pm Huxley 658 Bend and break
Toby Gee 16 February 2004, 4pm Huxley 658 Honda–Tate theory
Jeremy Bryant 8 March 2004, 4pm Huxley 658 Floer homology and 4-manifold invariants
Diego Matessi 15 March 2004, 4pm Huxley 658 Spectral Sequences
Joel Fine 22 March 2004, 4pm Huxley 658 Introduction to geometric K-theory

Autumn term 2003

Speaker Date & Time Location Title
Joel Fine 6 October 2003, 4pm Huxley 540 The continuity method, I: hyperbolic metrics on surfaces
Michael Tweedale 13 October 2003, 4pm Huxley 540 The Adams spectral sequence and the Steenrod algebra
Tim Perutz 20 October 2003, 4pm Huxley 540 Realising homology classes by submanifolds
Sebastien Racaniere 27 October 2003, 4pm Huxley 540 Quantisation and C*-algebras
Julius Ross 3 November 2003, 4pm Huxley 540 Stability of algebraic varieties
Joel Fine 10 November 2003, 4pm Huxley 540 Constant scalar curvature Kähler metrics on fibred complex surfaces
Kevin Costello 17 November 2003, 4pm Huxley 540 Operads and the moduli space of curves
Henry Wilton 24 November 2003, 4pm Huxley 540 JSJ decomposition of groups
Thomas Hodge 1 December 2003, 4pm Huxley 540 Hyperkähler extension of Teichmüller space
Diego Matessi 8 December 2003, 4pm Huxley 540 Compact G2 manifolds

Summer term 2003

Speaker Date & Time Location Title of Talk
Thomas Hodge 24 June 2003, 4pm Huxley 642 Quasi-Fuchsian spaces and simultaneous uniformisation
Joel Fine 9 June 2003, 4pm Huxley 642 The h-principle
Toby Gee 2 June 2003, 4pm Huxley 642 Stacks
Andrea Tomatis 26 May 2003, 4pm Huxley 642 G2 Manifolds
Sebastian Boucksom 19 May 2003, 4pm Huxley 642 Regularisation of closed positive currents and some geometric applications
Julius Ross 19 May 2003, 4pm Huxley 642 Kähler–Einstein Manifolds
Vivien Easson 5 May 2003, 4pm Huxley 642 The Ahlfors conjecture for Kleinian groups
Henry Wilton 28 April 2003, 4pm Huxley 642 Hyperbolic spaces, R-trees and outer automorphism groups

Winter term 2003

Speaker Date & Time Location Title of Talk
Jonathan Munn 17 March 2003, 2pm Huxley 642 The ADHM Contruction of Instantons (Big matrices with nasty coefficients)
Diego Matessi 10 March 2003, 4pm Huxley 642 Topological Mirror Symmetry
Tom Hodge 3 March 2003, 4pm Huxley 642 Hyperkähler extensions of moduli spaces in gauge theory
Gianni Manno 24 Feburary 2003, 4pm Huxley 642 Jet methods for symmetries of Partial Differential Equations
Andrea Miranda 24 Feburary 2003, 5pm Huxley 642 Geometric theory of the measure and Heisenberg group space
Tim Perutz 10 Feburary 2003, 4pm Huxley 642 de Rham homotopy theory
Michael Tweedale 3 Feburary 2003, 4pm Huxley 642 Morse theory on polyhedral cell complexes
Brendan Owens 17 January 2003, 4pm Huxley 642 The 4-ball genus of knots
Etienne Mann 27 January 2003, 4pm Huxley 642 Frobenius manifolds

Autumn term 2002

Speaker Date & Time Location Title of Talk
Joel Fine 7 October, 4pm Huxley 642 Scalar curvature and variations of complex structures
Julius Ross 14 October, 4pm Huxley 642 Gentle Introduction To Geometric Invariant Theory
Tommaso Paccini 21 October, 4pm Huxley 642 Mirror Symmetry nach Leung, Yau und Zaslow
Thomas Hodge 28 October, 4pm Huxley 642 Symplectic Reduction and GIT
Sebastien Racaniere 4 November, 4pm Huxley 642 Bott periodicity
Michael Tweedale 11 November, 4pm Huxley 642 Singularities of Complex Analytic Curves
Henry Wilton 18 November, 4pm Huxley 642 Eight Model Geometries in Dimension Three
Tim Perutz 25 November, 4pm Huxley 642 Characteristic classes and cohomology operations
Julius Ross 5 December, 4pm Huxley 642 More Geometric Invariant Theory—this time applied to the Moduli of Sheaves

Summer term 2002

Speaker Date & Time Location Title of Talk
Julius Ross 22nd April, 1600 Huxley 540 Introduction to toric varieties
Tommaso Pacini 29th April, 1600 Huxley 540 Mean Curvature Flow for Dummies
Tim Perutz 6th May, 1600 Huxley 540 Spin^c structures, complex spinors and the Seiberg–Witten equations (sw.ps, sw.tex)
Tim Perutz 20th May, 1600 Huxley 540 Seiberg–Witten invariants of Kähler surfaces
Joel Fine 30th May, 1600 Huxley 540 An instanton over a product of curves; an example of an adiabatic limit
Aleksis Raza 20th June, 1600 Huxley 540 Kähler & symplectic toric varieties

Winter term 2002

Speaker Date & Time Location Title of Talk
Ed Nevens 14th January, 1500–1540 & 1600–1640 Huxley 6M42 p-adic analysis & Easy rigid analytic varieties (two talks)
Toby Gee 21st January, 1600 Huxley 6M42 Cech–de Rham complex and the de Rham theorem
Andrea Tomatis 28th January, 1600–1700 Huxley 6M42 Spectral sequences
Joel Fine 4th Febuary, 1600–1700 Huxley 6M42 Heegard diagrams
Richard Thomas 11th Febuary, 1600 Huxley 6M42 The Legendre transform and symplectic geometry
Tim Perutz 18th Febuary, 1600–1700 Huxley 6M42 Root systems
Gianluca Allemandi 25th Febuary, 1530–1700 hrs Huxley 540 Noether's Theorem
Dan Snaith 11th March, 1600–1700 Huxley 6M42 Lie algebras and the representations thereof
Aleksis Raza 18th March, 1600 Huxley 6M42 Representations of sl(3,C)

Autumn term 2001

Speaker Date & Time Location Title of Talk
Julius Ross 29th October 2001, 1600 hrs Huxley 642 Čech cohomology
Joel Fine 29th October 2001, 1600 hrs Huxley 642 Morse theory
Tim Perutz 5th November 2001, 1600 hrs Huxley 642 Riemann–Roch theorem on surfaces (Bonfire Night Special)
Andrea Tomatis 12th November 2001, 1600 hrs Huxley 642 Non-commutative geometry
Aleksis Raza 19th November 2001, 1600 hrs Huxley 642 Clifford algebras, spin structures & the Dirac operator
Tom Hodge 26th November 2001, 1600 hrs Huxley 642 Equivalent forms of the Kähler Condition—can space monsters mate with earth women?
James Smith 3rd December 2001, 1600 hrs Huxley 642 Sobolev spaces
Joel Fine and Julius Ross 10th December 2001, 1600 hrs Huxley 642 Hodge theory

Summer term 2001

Speaker Date & Time Location Title of Talk
Joel Fine 1st May 2001, 1600 hrs Huxley 540 Families of connections
Julius Ross 14th May 2001, 1600 hrs Huxley 642 Geometric invariant theory
Aleksis Raza 28th May 2001, 1530 hrs Huxley 642 Self-dual 4-manifolds
Andrea Tomatis 12th June 2001, 1600 hrs 412 (King's College) Morse theory

Winter term 2001

Speaker Date & Time Location Title of Talk
Lloyd Kilford 8th January 2001, 1500 hrs Huxley 658 Hecke operators
Daniel Jacobs 17th January 2001, 1500 hrs Huxley 658 Group cohomology
Joel Fine 2nd Febuary 2001, 1500 hrs Huxley 658 de Rham cohomology: a crash course in differential geometry
Ed Nevens 15th Febuary 2001, 1500 hrs Huxley 658 Galois cohomology
Julius Ross 3rd March 2001, 1500 hrs Huxley 658 Čech cohomology
Laura Basile 14th March 2001, 1500 hrs Huxley 658 Étale cohomology