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Talks

From this page you can download the .pdf files of the transparencies for many of the talks I have given in the last few years, mostly seminars on my own research, plus a few similar things like lecture handouts which accompanied my lecture courses.

Seminar given in Cambridge, March 2002, 'Constructing compact manifolds with exceptional holonomy'. pdf file

Seminar given in Gökova, May 2002, 'U(1)-invariant special Lagrangian 3-folds in C3 and special Lagrangian fibrations'. pdf file

Seminar given in Gökova, May 2004, 'Introduction to calibrated geometry'. pdf file

Seminar given in Dublin, November 2005, 'Counting coherent sheaves on Calabi-Yau 3-folds'. pdf file

Two talks given in Rice, November 2005:

First talk, 'Introduction to Riemannian holonomy groups and calibrated geometry'. pdf file

Second talk, 'Singularities of special Lagrangian submanifolds and SYZ'. pdf file

A series of three talks on my papers on 'Configurations in abelian categories', given to the Algebraic Geometry seminar in Oxford, January-February 2006:

First talk, 'Artin stacks, constructible functions and motivic invariants'. pdf file

Second talk, 'Configurations in abelian categories: introduction, and Ringel-Hall algebras'. pdf file

Third talk, 'Configurations in abelian categories: stability conditions, and invariants counting semistable objects'. pdf file

Seminar given in Oxford, June 2006, 'Holomorphic generating functions for invariants counting sheaves on Calabi-Yau 3-folds'. pdf file

Seminar given in Palo Alto, June 2006, 'Difficult problems in special Lagrangian geometry'. pdf file

Graduate lecture course on 'Riemannian holonomy groups and calibrated geometry', 16 lectures, Michaelmas Term 2006:

Synopses

Lecture notes

Slides for lectures 3 and 4

Slides for lecture 12

Slides for lecture 13

Slides for lecture 14

Slides for lectures 15 and 16

Some survey papers by me which are useful background reading for the lectures:

'Lectures on Calabi-Yau and special Lagrangian geometry', math.DG/0108088, pdf file.

'The exceptional holonomy groups and calibrated geometry', math.DG/0406011, pdf file.

The definitive text on the subject is of course my book 'Compact manifolds with special holonomy', O.U.P. 2000, which you should ask your parents to buy you for Christmas.

Two talks given in Taiwan, July 2007:

First talk, 'Singularities of special Lagrangian submanifolds'. pdf file

Second talk, 'Important problems in special Lagrangian geometry'. pdf file

A series of three 60-90 minute talks given in Kyoto, September 2008:

First talk, 'Kuranishi (co)homology: a new tool in symplectic geometry. I. Overview'. pdf file

Second talk, 'Kuranishi (co)homology: a new tool in symplectic geometry. II. Kuranishi (co)homology'. pdf file

Third talk, 'Kuranishi (co)homology: a new tool in symplectic geometry. III. Effective Kuranishi (co)homology, integrality, and Kuranishi (co)bordism'. pdf file

Two 45 minute talks given in Zurich, November 2008:

First talk, 'Kuranishi (co)homology: a new tool in symplectic geometry. I. Overview'. pdf file

Second talk, 'Kuranishi (co)homology: a new tool in symplectic geometry. II. Kuranishi (co)homology'. pdf file

A two hour talk given in Oxford, December 2008, joint with Yinan Song:

'Generalized Donaldson-Thomas invariants'. pdf file

A handout to go with this talk:

'A quick introduction to stack functions'. pdf file

Talk given in Oslo, June 2009:

'Donaldson-Thomas invariants of Calabi-Yau 3-folds'. pdf file

Talk given in Oxford and in Paris, January 2010:

'D-orbifolds, Kuranishi spaces, and polyfolds'. pdf file

Talk given in Lisbon, June 2010:

'A theory of generalized Donaldson-Thomas invariants'. pdf file

Talk given in Cambridge, April 2011:

'D-manifolds, a new theory of derived differential geometry'. pdf file

Talk given in Leicester, April 2011:

'Derived differential geometry'. pdf file

Talks (2.5 hours) given in Oxford, October 2011, at workshop to launch EPSRC programme grant 'Motivic invariants and categorification':

'Donaldson-Thomas theory: introduction and open problems'. pdf file

Talk given in Luminy, July 2012:

'D-manifolds and derived differential geometry'. pdf file

Three talks given in Tokyo, July 2012:

'D-manifolds and d-orbifolds: a theory of derived differential geometry.'.

first talk pdf file

second talk pdf file

third talk pdf file

Talk given in Banff, June 2013:

'Categorification of Donaldson-Thomas theory using perverse sheaves'. pdf file

Talk given in Stony Brook, June 2013:

'Quantization of 3-Calabi-Yau moduli spaces'. pdf file

Talks given Oxford, October 2013, at a workshop for our EPSRC Programme Grant research group:

'Shifted symplectic geometry, Calabi-Yau moduli spaces, and generalizations of Donaldson-Thomas theory: our current and future research'. pdf file

Two talks given Warwick, November 2013:

'A Darboux theorem for shifted symplectic derived schemes; d-critical loci'. pdf file

'Extensions of Donaldson-Thomas theory of Calabi-Yau 3-folds'. pdf file

A series of three talks given Miami, January 2014:

' "Darboux theorems" for shifted symplectic derived schemes and stacks'. pdf file

'D-critical loci, and categorification of Donaldson-Thomas theory using perverse sheaves'. pdf file

'Motivic Donaldson-Thomas theory, Calabi-Yau 4-fold counting invariants, and future projects'. pdf file

A series of five lectures given at the Simons Center, Stony Brook, May 2014:

'Lecture 1. The d-orbifold programme: overview'. pdf file

'Lecture 2. The 2-categories of d-manifolds and d-orbifolds'. pdf file

'Lecture 3. D-orbifold structures on moduli spaces, d-orbifolds as representable 2-functors'. pdf file

'Lecture 4. D-manifolds and d-orbifolds with corners. Stratified manifolds and 'bubbling' '. pdf file

'Lecture 5. D-orbifold homology and cohomology, and virtual cycles'. pdf file

Talk given in Oxford, July 2014:

'Shifted symplectic geometry and categorification'. pdf file

Talk given in Warwick, September 2014:

'D-manifolds and derived differential geometry'. pdf file

Talk given in Lancaster, April 2015:

'New Donaldson-Thomas style counting invariants for Calabi-Yau 4-folds'. pdf file

14 hour lecture course on 'Derived Differential Geometry' given in Aarhus, August 2015:

See the course web page.

Talk given at Kings College London, December 2015:

'Derived differential geometry'. pdf file

Talk given in Waterloo, Ontario, April 2016:

'Categorification of shifted symplectic geometry using perverse sheaves'. pdf file

Talk given in Chengdu, China, May 2016:

'A new theory of Kuranishi spaces'. pdf file

Talk given in Zürich, July 2016:

'“Fukaya categories” of complex Lagrangians in complex symplectic manifolds'. pdf file

Talk given at the Simons Center, Stony Brook, September 2016:

'Derived Differential Geometry and moduli spaces in differential geometry'. pdf file

Talks given at the UK-Japan Winter School, UCL, January 2017:

'Lagrangian Mean Curvature Flow in Calabi-Yau manifolds and the Thomas-Yau Conjecture. I, II'. pdf file 1 pdf file 2

Two (unrelated) talks given in York, June 2017:

'Conjectures on counting associative 3-folds in G2 manifolds'. pdf file

'What is a derived manifold?'. pdf file

Two talks given in Imperial, June 2017:

'Constructing compact 7-manifolds with holonomy G2'. pdf file

'Constructing compact 8-manifolds with holonomy Spin(7)'. pdf file

3 hour lecture course on 'Derived Differential Geometry' given in Toulouse, June 2017:

Lecture 1 pdf file  Lecture 2 pdf file  Lecture 3 pdf file

3 hour lecture course on 'Donaldson-Thomas theory of Calabi-Yau 3-folds, and generalizations' given in Oxford, September 2017:

Lecture 1 pdf file  Lecture 2 pdf file  Lecture 3 pdf file