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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